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Svetlanka [38]
1 year ago
15

A company that rents DVDs from vending machines in grocery stores has developed the following probability distribution for the r

andom variable X = the number of DVDs a customer rents per visit to 3 machine P(x) 0,5 03 0.1 0 | (a) Find and interpret the mean (expected value) of x (b) Find and interpret the standard deviation ofx
Mathematics
1 answer:
NemiM [27]1 year ago
7 0

The mean of x is 1.8 and standard deviation of X is 0.98 using calculations for mean and standard deviation by given values or data.

What is mean and standard deviation?

The standard deviation is a summary measure of the differences of each  observation from the mean.

In the given que:

X         1     2     3     4

P(X)     .5   .3     .1      .1

For mean :

Mean = 1(.5) + 2(.3) + 3(.1) + 4(.1)

          = 1.8

For standard deviation :

Standard deviation = √.5(1-1.8)² + .3(2-1.8)² + .1(3-1.8)² + .1(4-1.8)²

                                = .98

Learn more about mean and deviation using link:

brainly.com/question/26941429

#SPJ1

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Answer: 0.4302

Step-by-step explanation:

Given : Mean : \mu=\text{38.7 miles }

Standard deviation : \sigma=\text{6.7 miles }

Sample size : n=60

Also, these distances are normally distributed.

Then , the formula to calculate the z-score is given by :-

z=\dfrac{x-\mu}{\sigma}

For x=32.5

\\\\ z=\dfrac{32.5-38.7}{6.7}=-0.925373134\approx-0.93

For x=40.5

\\\\ z=\dfrac{40.5-38.7}{6.7}=0.268656\approx0.27

The p-value = P(-0.93

=P(0.27)-P(-0.93)=0.6064198- 0.1761855=0.4302343\approx0.4302

Hence, the required probability :-0.4302

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What value of t makes the following equation true?
dusya [7]

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Use distributive property:

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Subtract 3 from both sides:

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Divide both sides by 3:

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Answer:

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Step-by-step explanation:

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<u>Error: </u>

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<u>Percent error:</u>

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Step-by-step explanation:

Hope this helps!

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