I need help ASAP due at 11:59

In a list of households, own homes and do not own homes. Five households are randomly selected from these households. Find the p

hichkok12 [17]

Answer:

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

Step-by-step explanation:

Adduming the following info: In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

4 0

3 years ago

What is the surface area of the cylinder d = 10 h = 7

Anna11 [10]

The answer is 120 $\pi$ . Hope I helped!

3 0

3 years ago

A string quartet finds that when they play for donations they earn between $25 and $40 per hour. If they play for 3 hours and di

7nadin3 [17]

Answer:

Option d.$18 to $30

Step-by-step explanation:

we know that

The quartet earn between $25 and $40 per hour.

so

If they play for 3 hours

then

($25*3)=$75

($40*3)=$120

the quartet will earn between $75 and $120

Divide the money equally between the four members

$75/4=$18.75

$120/4=$30

therefore

Each member can make between $18.75 and $30

5 0

3 years ago

Given that the value of b can never be equal to -1, determine if the equations are intersecting, parallel, or coincident.

eimsori [14]

<h3>Answer: A) intersecting</h3>

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Work Shown:

Solve the first equation for y

x+y = ab

y = -x+ab

y = -1x + ab

slope = -1, y intercept = ab

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Solve for y in the second equation

bx - y = a

bx - y - a = 0

bx-a = y

y = bx - a

Slope = b, y intercept = -a

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The first equation has a slope of -1. The second equation has a slope of b.

Since b cannot equal -1, this means the two equations have different slopes. It is impossible for these two lines to be parallel, because parallel lines have equal slopes. The different slope values tell us the lines cross at exactly one point.

7 0

3 years ago

Find the measure of CP

dmitriy555 [2]

Given:

A figure ABCP.

To find:

The measure of CP.

Solution:

In triangles ABP and CBP,

$\angle PAB\cong \angle PCB$ (Given right angles)