5.2 Mean and Standard Deviation of Discrete RV

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11 Nsɛmmisa

Use the following situation to answer questions 1-4:

El Dorado Community College considers a student to be full-time if he or she is taking between 12 and 18 hours. The tuition charge for a full time student is $50 per hour. Suppose we choose a full-time student at random. The probability distribution for the random variable T = tuition charge for the chosen student is shown here.

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5.2 Mean and Standard Deviation of Discrete RV

Last updated 6 months ago

11 Nsɛmmisa

Use the following situation to answer questions 1-4:

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Make a histogram of the probability distribution.

Describe the shape of the histogram of the variable T.

Symmetric

Skewed Left

Skewed Right

Calculate the mean of T.

Calculate the standard deviation of T.

Use the following situation to answer questions 5-8:

Ana is a dedicated Skee Ball player who always rolls for the 50-point slot. The probability distribution of Ana's score X on a randomly selected roll of the ball is shown here.

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Calculate the mean of X.

Interpret the mean of X.

If we pick many, many of Ana's randomly selected , the average will be about (mean) (units).

The standard deviation is 12.6. Interpret the standard deviation of X. Round the mean and standard deviation to one decimal place.

Ana's typically varies by about (standard deviation) (units) from the mean of (mean) (units).

Use the following situation to answer questions 9-11:

Casey decides to apply for a job selling mobile phones. She receives a base salary of $200 per month and $15 for every phone sold. The following table shows the probability of a particular number of mobile phones, x, being sold per month.

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Calculate the average number of cell phones Casey can expect to sell.

If Casey sells this many cell phones, how much would she make?

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Interpret the mean of X.

If we pick many, many of Casey's randomly selected work months, the average number of sold will be about (mean) (units).

The standard deviation is 53.86. Interpret the standard deviation of X. Round the mean and standard deviation to two decimal places.

The number of sold typically varies by about (standard deviation) (units) from the mean of (mean) (units).

The random variable X is the number of houses sold by Christine in a single month at the Oppenheim Group. Its probability distribution is as follows.

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5.2 Mean and Standard Deviation of Discrete RV

5.2 Mean and Standard Deviation of Discrete RV

Make a histogram of the probability distribution.

Describe the shape of the histogram of the variable T.

Calculate the mean of T.

Calculate the standard deviation of T.

Calculate the mean of X.

What is the average number of houses sold Christine in a single month at the Oppenheim Group?

Make a histogram of the probability distribution.

Describe the shape of the histogram of the variable T.

Calculate the mean of T.

Calculate the standard deviation of T.

Calculate the mean of X.

What is the average number of houses sold Christine in a single month at the Oppenheim Group?