Some iPhones produced within a time period have faulty battery issues. Thirty percent of such iPhones will need battery service while under warranty. A family owns 5 iPhones produced within the time frame of potential faulty production.
(a) What is the probability that exactly two iPhones will end up being serviced under warranty?
(b) What is the probability that at least two iPhones will end up being serviced under warranty?
(c) What is the expected number of iPhones in the family that require service?
(d) What is the standard deviation of the number of iPhones in the family that requires service?

Answers

Answer 1

Answer:

a) 0.3087 = 30.87% probability that exactly two iPhones will end up being serviced under warranty.

b) 0.4718 = 47.18% probability that at least two iPhones will end up being serviced under warranty

c) The expected number of iPhones in the family that require service is 1.5.

d) The standard deviation of the number of iPhones in the family that requires service is 1.0247.

Step-by-step explanation:

For each iPhone, there are only two possible outcomes. Either they have battery issues under warranty, or they do not. iPhones are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Thirty percent of such iPhones will need battery service while under warranty.

This means that [tex]p = 0.3[/tex]

A family owns 5 iPhones produced within the time frame of potential faulty production.

This means that [tex]n = 5[/tex]

(a) What is the probability that exactly two iPhones will end up being serviced under warranty?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{3} = 0.3087[/tex]

0.3087 = 30.87% probability that exactly two iPhones will end up being serviced under warranty.

(b) What is the probability that at least two iPhones will end up being serviced under warranty?

This is:

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{3} = 0.3087[/tex]

[tex]P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{2} = 0.1323[/tex]

[tex]P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{1} = 0.0284[/tex]

[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{0} = 0.0024[/tex]

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.3087 + 0.1323 + 0.0284 + 0.0024 = 0.4718[/tex]

0.4718 = 47.18% probability that at least two iPhones will end up being serviced under warranty.

(c) What is the expected number of iPhones in the family that require service?

[tex]E(X) = np = 5*0.3 = 1.5[/tex]

The expected number of iPhones in the family that require service is 1.5.

(d) What is the standard deviation of the number of iPhones in the family that requires service?

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5*0.3*0.7} = 1.0247[/tex]

The standard deviation of the number of iPhones in the family that requires service is 1.0247.


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B - alternate angles

C- vertically opposite angles

Answers

Answer:

a) 77    b)B

Step-by-step explanation:

letterF is the same as 77 meaning that X will be the same as letterF cause the are vertically opposite angles.

I just did the question on math watch.

The measure of the angle ∠BFH that is 'x' will be 77 degrees. Then the correct option is B.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Alternate angle - If two lines are parallel then the third line will make z -an angle and z-angles equal angles with the parallel lines.

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SOMBODY PLZ HELP!!!! I WILL GIVE BRAINLIST
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PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

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Answer:

Yes

Step-by-step explanation:

Substitute  2+1=3

                 3=3

Equal means solution

Answer:

Yes (2,3) is a solution to this system of equations

Step-by-step explanation:

(x,y) (2,3) so x=2 y=3

3=3

3=2+1

Equations are true so it's a solution

Function A and Function B are linear functions. Compare the two functions and choose all that are correct. Can someone help?

Answers

Answer:

(b) and (c) are true

Step-by-step explanation:

Given

Function A and B

First, calculate the slope of A

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{24 - -21}{8- -7}[/tex]

[tex]m = \frac{45}{15}[/tex]

[tex]m =3[/tex]

The equation of function A is:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 3(x - 8) + 24[/tex]

[tex]y = 3x - 24 + 24[/tex]

[tex]y = 3x[/tex]

The general form of a function is:

[tex]y = mx + b[/tex]

Where [tex]m = slope[/tex] and [tex]b = y\ intercept.[/tex]

This implies that:

[tex]Slope = 3[/tex]

[tex]Y\ intercept = 0[/tex]

For function B:

[tex]y = 4x - 3[/tex]

[tex]Slope = 4[/tex]

[tex]Y\ intercept = -3[/tex]

By comparison:

(b) and (c) are true

2.386 rounded to the nearest tenth

Answers

Answer:

Los números decimales son una combinación de números enteros y números que se encuentran entre los números enteros. A veces es importante poder comparar decimales para saber cuál es mayor. Por ejemplo, si alguien corrió los 100 metros planos en 10.57 segundos, y alguien más los corrió en 10.67 segundos, puedes comparar los decimales para determinar qué tiempo es más rápido. Saber cómo comparar decimales requiere el entendimiento del valor de posición decimal, y es similar a comprar números enteros.

 

Cuando trabajamos con decimales, hay veces que no se necesita un número preciso. En tal caso, es útil redondear números decimales. Por ejemplo, si la bomba de una gasolinera muestra que llenaste el tanque del carro de un amigo con 16.478 galones de gasolina, podrías querer redondear el número y decirle a tu amigo que le pusiste 16.5 galones.

Step-by-step explanation:

Otra forma de comparar decimales es comparar los dígitos en cada número, empezando con el lugar de posición mayor, que es el de la izquierda. Cuando un dígito en un número decimal es mayor que el dígito correspondiente en el otro número, entonces ése número decimal es mayor.

 

Por ejemplo, primero compara los dígitos de las décimas. Si son iguales, continúa con el lugar de las centésimas. Si esos dígitos no son iguales, el decimal con el dígito mayor es el número decimal mayor. Observa cómo se hace esto en los ejemplos siguientes.

What is the value of -4.4+ (5-2)(-6)?

Answers

Answer:

Step-by-step explanation:

-4.4 + (5-2)(-6) = -4.4 + (3)(-6) = -4.4 + (-18) = - 22.4

The answer is 22.4
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[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

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Answer:

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Step-by-step explanation:

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Answers

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Answer:

The opposite side and opposite of angles of parallelogram are equal. An these opposite sides an opposite angles make up for a congruent triangles, with the two diagonal being the sides of these two congruent triangle. Hence the diagonals of the parallelogram are equal.

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Step-by-step explanation:

5

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220.5 ft²

Step-by-step explanation:

Hello There!

To find the area of the figure we want to split the figure into two shapes that a formula can easily be used to calculate their area

We split it into a rectangle with a length of 12 and a height of 14

and we split it into a trapezoid with base lengths that are equal to 7 and 14 and a height of 5

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62
.
52
=
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.
39
+
t

Answers

Answer:

t = 35.13

Step-by-step explanation:

Simplifying

62.52 = 27.39 + t

Solving

62.52 = 27.39 + t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-1t' to each side of the equation.

62.52 + -1t = 27.39 + t + -1t

Combine like terms: t + -1t = 0

62.52 + -1t = 27.39 + 0

62.52 + -1t = 27.39

Add '-62.52' to each side of the equation.

62.52 + -62.52 + -1t = 27.39 + -62.52

Combine like terms: 62.52 + -62.52 = 0.00

0.00 + -1t = 27.39 + -62.52

-1t = 27.39 + -62.52

Combine like terms: 27.39 + -62.52 = -35.13

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Divide each side by '-1'.

t = 35.13

Simplifying

t = 35.13

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Answers

Answer:

42

Step-by-step explanation:

If y equals 3, then substitute y for 3, getting 45 - 3.  

45 - 3 is 42, so that's your answer.  

Hope this helped!  

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Answers

Answer:

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[tex]94[/tex]

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bit.^{} ly/3a8Nt8n

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Answer:

3 sandwiches

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

i think this is a awer

Step-by-step explanation:

n example of a line parallel to y = 5x - 2 would be y = 5x + 6. The difference between the two lines is where they cross the y-axis. Another example would the line in standard form, 10x - 2y = 8.Nov 9, 2015

Answer:

y=5x +6

Another example would the line in standard form, 10x - 2y = 8.

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A
6 meters per second
O
B. 15 dollars per hour
C. 3 seconds per second
D. 2 dollars per pound

Answers

Answer:

c

Step-by-step explanation:

now are you going to get 3 seconds out of a second

Answer:

C

Step-by-step explanation:

C dosen't even make sence, so I think it is C.

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Answer:

x      f(x) + 1

-4       6

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4       -1

Step-by-step explanation:

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