Suppose that X is a random variable that has a binomial uncertainty distribution with parameters n = 10 and π = 0.4. Calculate the numerical value of the probability that X = 6. What are the numerical values of the mean and standard deviation of the uncertainty distribution?

Suppose That X Is A Random Variable That Has A Binomial Uncertainty Distribution With Parameters N =

Answers

Answer 1

The numerical values of the mean and standard deviation are 4 and 1.55, respectively

The numerical value of the probability that x = 6.

The given parameters are:

n = 10

π = 0.4

The probability is then calculated as:

[tex]P(x) = ^nC_x * \pi^x *(1-\pi)^{n-x}[/tex]

So, we have:

[tex]P(6) = ^{10}C_6 * 0.4^6 *(1-0.4)^4[/tex]

Apply the combination formula

[tex]P(6) = \frac{10!}{6!4!} * 0.4^6 *0.6^4[/tex]

So, we have:

[tex]P(6) = 210 * 0.4^6 *0.6^4[/tex]

Evaluate

P(6) = 0.1115

Hence, the numerical value of the probability that x = 6 is 0.1115

The numerical values of the mean and standard deviation

The mean value is:

[tex]\bar x = n\pi[/tex]

This gives

[tex]\bar x = 10 * 0.4[/tex]

[tex]\bar x = 4[/tex]

The standard deviation value is:

[tex]\sigma = \sqrt{\bar x(1-\pi)[/tex]

This gives

[tex]\sigma = \sqrt{4(1-0.4)[/tex]

[tex]\sigma = 1.55[/tex]

Hence, the numerical values of the mean and standard deviation are 4 and 1.55, respectively

Read more about mean and standard deviation at:

https://brainly.com/question/16030790

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Related Questions


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

First option

Step-by-step explanation:

Biotechnology contains genetic manipulation and agricultural purposes, so growing crops in areas they usually do not grow would be a positive use of biotechnology.

I hope you get the problem right.

What is the sum of the polynomials? (6x+7x+x^2)+(2x^2-3x)

Answers

Answer:

3x^2 + 10x

Step-by-step explanation:

Beth’s brother is 140% of Beth’s height. If Beth’s brother measures 140cm, how tall is Beth?

Answers

Answer:

100 cm

Step-by-step explanation:

let x be the height of Beth

and y be the height of Beth's Brother

By 1st Condition

y = 140% * x

y = (140/100) * x

y = 1.4 x ..........................(Eq 1)

By 2nd Condition

y = 140

Put the value of y in the equation 1

140 = 1.4 *x

x = 140 / 1.4

x = 100 cm

Alexandra missed 52 questions on her multiple choice science final and earned a
grade of 74%. How many total questions were on the final exam?

Answers

Answer:

Step-by-step explanation:

100-74-26

26%->52

100%->52÷26×100

             = 200

Find the Area of the triangle

6.3 yd
3.4 yd

Answers

Area of a triangle is... 1/2 Base x Height The answer is followed by units squared.
3.15 is half of 6.3.
3.15 x 3.4 = 10.71 yds squared

Which of the following is most likely the next step in the series ?​

Answers

Answer:

A

Step-by-step explanation:

The colour keeps switching from red to blue to red, and red was last in the series. Therefore, a blue pattern should be next in the series.

Each time, a new hand is added to the pattern. Therefore, we add a hand.

The answer is definitely A.

Two less than three times a number

Answers

Answer:

3x-2

Step-by-step explanation:

3 times a number is 3x, if we use x as the number

Two less than (3x) is 3x - 2

13.1 divided by 1.6, answer quickly.

Answers

Answer:

8.1875

Step-by-step explanation:

8.1875 is the answer........


WHICH SERIES OF TRANSFORMATIONS CAN BE USED TO SHOW THAT ABC~DEF?

Answers

Answer:

A) is correct

Step-by-step explanation:

Andrew wants to buy new shirts for his job.

Andrew wants to buy at least 5 new shirts to wear to his new job.
Short sleeve shirts cost $14 each and long sleeve shirts cost $18 each.
Andrew wants to spend no more than $100.
Which system of inequalities can be used to find how many short sleeve shirts, x, and how many long sleeve shirts, y, he can buy?

Answers

Answer:

my anm,e is andrew and i dont have a job :/

Step-by-step explanation:

Answer:  

x + y ≤ 5

14x + 18y ≥ 100

Step-by-step explanation:

just trust me

never trust strangers

Evaluate each expression using the value w=4, a=2, and h=5
Equation is:
6w+2a

Answers

Answer:

6w + 2a = 28

Step-by-step explanation:

the expression given, 6w + 2a, contains no variable h, so it's best to just ignore that h = 5.

first, plug in the values for w and a. you can do this in whatever order you want, but i'll start with w for this example.

plug in 4 for w.

6w + 2a

6(4) + 2a

now plug in 2 for a.

6(4) + 2a

6(4) + 2(2)

after plugging in the values, your expression is 6(4) + 2(2).

all that's left is to simplify. again, this can be done in whatever order you prefer, but i'm going to start with 6(4).

6(4) + 2(2)

24 + 2(2)

continue simplifying by multiplying 2(2).

24 + 2(2)

24 + 4

now add 24 + 4.

24 + 4 = 28

so, when w = 4 and a = 2, 6w + 2a = 28.

you can check the answer by plugging those values for a and w back into the completed equation.

6w + 2a = 28

6(4) + 2(2) = 28

24 + 4 = 28

28 = 28

since both sides of the equation are equal, that means that your answer of 28 is correct! :)

i hope this helps! have a great day <3

cuál es el número entero de 2° bajo Cero​

Answers

Answer:

 -2 °C.

Step-by-step explanation:

Usa el signo + para representar temperaturas arriba de cero y el signo – para representar temperaturas bajo cero.

Me pueden ayudar con la F porfa :)​

Answers

Answer: -66

Step-by-step explanation:

[tex](2)-(-3)(-20)-(-8)[/tex]

multiply first {*}

[tex](2)-(60)-(-8)[/tex]

then open parenthesis {()}

[tex]2-60+8[/tex]

then add/subtract {+/-}

[tex]2-60+8=\\2-68=\\-66[/tex]

Sorry that it isn't in Spanish ;-;

Answer:

f. = -50

Step:

(2) - (-3) (-20) - (-8)

2-(-3) (-20)= -58

-58+8

= -50

Simplify -12+8+5+(-9)​

Answers

FIRST Remove parentheses.
−12+8+5-9

Simplify -12+8 to -4

-4 + 5 — 9

Simplify
−4 + 5 −4+5 to 1
1 — 9

Simplify

-8 is your answer

Answer:

The answers is -8

Step-by-step explanation:

Remove parentheses.

-12 + 8 + 5 - 9

Add -12 and 8

-4 + 5 -9

Add -4 and 5

1 - 9

Subtract 9 from 1

-8

The answers is -8

Hope this helps

Write a second inequality with the same meaning -12<= a

Answers

Answer:

a[tex]\geq[/tex]-12 or -48[tex]\leq[/tex]4a

Step-by-step explanation:

Express using algebra A increased by 50% and then decreased by 50% of that

Answers

Answer:

.5(1.5A)

Step-by-step explanation:

Increasing by 50% is the same as multiplying by 1.5. Decreasing by 50% is the same as multiplying by .5. Multiply by 1.5 first then surround with parentheses and multiply by .5.

Answer:

.5(1.5A)

Step-by-step explanation:

Increasing by 50% is the same as multiplying by 1.5. Decreasing by 50% is the same as multiplying by .5. Multiply by 1.5 first then surround with parentheses and multiply by .5.

( NEEDED ASAP! )
Capon City has 5 more than 3 times as many residents as Harbor City.

Create an algebraic expression to represent the number of residents in Capon City. Use r in your expression where r represents the number of residents in Harbor City

Answers

Answer:

y=3r+5

Step-by-step explanation:

Break up the sentance.

Capon city has 5 more than 3 times as many residents as harbor city.

The sentance above can be written like this: y=5+3x. Since they want r to represent the number of people in Harbor city, use r in place of x.

Capon city=y

has=equal sign

5 more=+5

3 times as many=3r

y=3r+5

I have to turn this in today!!! Please help me ASAP!

Answers

Answer:

D. 9/5

Step-by-step explanation:

27:15= 9:5

18:10= 9:5

Answer:

D) [tex]\frac{9}{5}[/tex]

Step-by-step explanation:

The scale factor between the shapes is 1.8 or 9/5 as a fraction.

Hope it helps!

Pls help me with this question

Answers

Answer:

[tex]y = 2000(1.05)^{36[/tex]

Step-by-step explanation:

Given

[tex]a = 2000[/tex] -- Initial population

[tex]r = 5\%[/tex] --- Rate (monthly)

Required

Determine the population in 3 years

The question shows an exponential distribution and the final population will be calculated using:

[tex]y = a(1 + r)^x[/tex]

Where x is the number of months.

[tex]x = 3\ years[/tex]

[tex]x = 3* 12\ months[/tex]

[tex]x = 36[/tex]

So, we have:

[tex]y = 2000(1 + 5\%)^{36[/tex]

Convert % to decimal

[tex]y = 2000(1 + 0.05)^{36[/tex]

[tex]y = 2000(1.05)^{36[/tex]

(c) is correct

Plz guys help me plz

Answers

Answer:

The answer is A!

Step-by-step explanation:

Its correct, I took the quiz :)

17/2 is bigger than what?​

Answers

Answer:

7/2= 8.5 so it can be bigger then 1/2 or anything under 8.5

Step-by-step explanation:

A rectangular swimming pool measures 40 ft by 60 ft and is surrounded by a path of uniform width around the four edges. The perimeter of the rectangle formed by the pool and the surrounding path is 248 ft. Determine the width of the path.

Answers

Answer:

6ft

Step-by-step explanation:

Lets x = the width of the path the surrounding path will add 2x to the pool dimension,therefore over all dimesion: (2x+40) by (2x+60) the overall perimeter (2x + 40) + 2(2x+60) = 248 Simplify divide by 2, result (2x+40) +(2x+60) = 124

Combine like terms 2x + 2x +40 +60 =124

4x + 100 = 124

4x=124 = 100

4x=24

x=24/4

x= 6ft is the width of the path

check this by finding the perimeter with these values; 2x = 12 ft

2 ( 12 + 40 ) + 2( 12 +60 )

2( 52 + 2(72)

104 + 144 = 248; confirms our solution of x= 6 ft

Suppose your friends have the following ice cream preferences: 31% of your friends like chocolate (C). The remaining do not like chocolate. 15% of your friends like sprinkles (S) topping. The remaining do not like sprinkles. 5% of your friends like Chocolate (C) and also like sprinkles (S). Of the friends who like sprinkles, what proportion of this group likes chocolate

Answers

Answer:

0.3333 = 33.33% of this group likes chocolate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Of the friends who like sprinkles, what proportion of this group likes chocolate:

So,

Event A: Likes sprinkles

Event B: Likes chocolate

15% of your friends like sprinkles (S) topping.

This means that [tex]P(A) = 0.15[/tex]

5% of your friends like Chocolate (C) and also like sprinkles (S).

This means that [tex]P(A \cap B) = 0.05[/tex]

So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.15} = 0.3333[/tex]

0.3333 = 33.33% of this group likes chocolate

11z > -33 help please

Answers

11z > -33

11z / 11 > 33 / 11

z > 3

Hope it helps!

EASY MATH QUESTION Urgent pls​

Answers

Answer:

I don't know that is hard

Step-by-step explanation:

You said this was an easy math question.

Answer:

I think it's b

Step-by-step explanation:

ah=b1+b2/2

h=ax(b1+b2)/2

Which graph represents the solution to the compound inequality?

–6 < 3x – 12 ≤ 9

A number line with an open circle at 2 with a bold line pointing to the left. A point at 7 with a bold line pointing to the right.
A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.
A number line with an open circle at negative 6 with a bold line pointing to the left. A point at 9 with a bold line pointing to the right.
A number line with an open circle at negative 6 with a bold line pointing to the right ending at the point at 9.

Answers

Answer:

B) The second one. A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.

Step-by-step explanation:

B) The second one. A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.

Answer:

B

Step-by-step explanation:

edge 2022

round up 6,614,980 to hundreds​

Answers

well just look at the tens digit and see if it is bigger or smaller than 5, in this case 8>5

so the answer is 6,615,000, it is 000 because 9+1 became a 10

1) Dan ate 1/12 of a pumpkin, while Sandy ate 1/2 of a pumpkin. In total, how much pumpkin did these two eat?

Answers

Answer:

1 pumpkin

Step-by-step explanation:

1/2 + 1/2 is 1. They ate 1 pumpkin in total.

1 pumpkin
1/2+1/2( half + half)=1

jfdxaMXDCJINCIZSCKZDXVSJOISACXKISZPIAnhCPKISZJCPKNSPKCN KPZSA

Answers

Answer:

Jassjsjdhjajjjjajajajajjjajajajajajqjqjjqjsjsjajajajajjajajaja

Ndoekekekenekekekekek

Is collecting Taxes a

Delegated power
Reserved power
Concurrent power

Answers

Answer: C.concurrent power

Step-by-step explanation: Such powers are called concurrent powers. These include the power to tax, spend, and borrow money. State governments operate their own judicial systems, charter corporations, provide public education, and regulate property rights.

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