Please help due today

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.

Answer:

fart

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The relevant relations are ...

  sec = ±√(tan² +1)

  cos = 1/sec

  csc = 1/sin = ±1/√(1 -cos²)

Sine and Cosecant are positive in quadrants I and II. Cosine and Secant are positive in quadrants I and IV.

__

1. sec(θ) = -√((-2)² +1) = -√5

2. cos(θ) = 1/sec(θ) = 1/(5/3) = 3/5

3. csc(θ) = -1/√(1 -(-3/5)²) = -√(16/25) = -4/5

Answer:

1) 180 - 17 = 163

2) 180 - 124 = 56

3) 180 - 86 = 94

Answer:

The circumference of a circle is equal to Pi π times the diameter d

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Any horizontal line has a slope of 0.

Answer:

Rounded to the nearest tenth: 10.6

Answer not rounded: 10.56

Step-by-step explanation:

Answer:

A. Sine Y = 20 / 29

B. Cos Y = 21 / 29

C. Tan Y = 20 / 21

D. Sine Z = 21 / 29

E. Cos Z = 20 / 29

F. Tan Z = 21 / 20

Step-by-step explanation:

A. Determination of Sine Y

Opposite = 20

Hypothenus = 29

Sine Y =?

Sine Y = Opposite / Hypothenus

Sine Y = 20 / 29

B. Determination of Cos Y

Adjacent = 21

Hypothenus = 29

Cos Y =?

Cos Y = Adjacent / Hypothenus

Cos Y = 21 / 29

C. Determination of Tan Y

Opposite = 20

Adjacent = 21

Tan Y =?

Tan Y = Opposite / Adjacent

Tan Y = 20 / 21

D. Determination of Sine Z

Opposite = 21

Hypothenus = 29

Sine Z =?

Sine Z = Opposite / Hypothenus

Sine Z = 21 / 29

E. Determination of Cos Z

Adjacent = 20

Hypothenus = 29

Cos Z =?

Cos Z = Adjacent / Hypothenus

Cos Z = 20 / 29

Determination of Tan Z

Opposite = 21

Adjacent = 20

Tan Z =?

Tan Z = Opposite / Adjacent

Tan Z = 21 / 20

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

Assuming your equation is supposed to be ...

  [tex]y=\dfrac{2}{3}x+8[/tex]

the slope is the coefficient of x.

The slope is 2/3.

Answer:

110

Step-by-step explanation:

because you have to add the number

Answer:

86

Step-by-step explanation:

(2+2=4) 4 to the 3rd power is 64. 150 minus 64 is 86

Answer:

139

Step-by-step explanation:

x^2 + y^3 2+x = 3^2 + 5^3 + 2 + 3

= 9 + 125 + 5

= 139!

Answer:

13

Step-by-step explanation:

5²+12²=c²

25+144=c²

169=c²

c=√169

c=13

Answer:q=0,\:q=-16

Step-by-step explanation:

Let t rep tail and h rep head

First tose= h or t

Second tose= h or t

Third tose= h or t

Counting the head and tail together

Then t= 3 and h=3

According to The formulae

3/6= 1/2

Answer:

A (0,8)

B (1,4)

C (2,2)

D (3,1)

Answer:

Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos

Step-by-step explanation:

Answer:

Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos

- my friend wrote her name Esperanza~!

Answer:

The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in. The answer is 33 i believe

Step-by-step explanation:

[tex] \huge \sf \ \star \purple{Answer} \star[/tex]

the act, process, or an instance of eliminating or discharging: such as. a : the act of discharging or excreting waste products from the body

the act, process, or an instance of eliminating or discharging: such as. a : the act of discharging or excreting waste products from the body.

Elimination is the process of getting rid of something, whether it's waste, errors, or the competition. Elimination comes from the Latin word limen, which means threshold. The Romans added an “e” to the beginning and created the verb eliminare, which means to banish or to push over the threshold and out the door.

[tex] \huge{ \bf \color{red}{hope \: it \: helps}}[/tex]

Equation to represent the number of seventh-grade students who are not in advanced math is A =250 - (250 x 0.32)

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that  Mountain Park Middle School, there are 250 seventh-grade students.

Currently, 32% of those students are in advanced math, then;

Therefore, the number of seventh-grade students who are not in advanced math.

100%-32% = 68%

68% of 250

Equation would be;

A =250 - (250 x 0.32)

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Answer:

9 + 9 + 3 + 3 = 24

P = 24 cm

9 x 3 = 27

A = 27 square cm

(I think those are the answers, hope it helps <3 )

Answer:

Yes

Step-by-step explanation:

What we know:

The watch has a 90-day warranty.

A week has 7 days.

6 weeks have 42 days.

To solve:

90 day warranty - 42 days of the 6 weeks = 48 days of warranty still left.

Note:

Hope it helps!

Answer:

Mk. So I think you should only copy the part that is in bold.

Terms are something that is being added together. Factor is something that is being multiplied together. A coefficient is a number that is being multiplied by the variable. The 2x, 6x, and 14 are terms because they are being added together.