Discrete Random Variables – Mean

Question 1

Your neighborhood gym tracked how many days each of its members worked out over the past week. Let G = the number of days per week a member worked out.Calculate and interpret the mean of G.

Revolt · Accepted Answer

If many, many members were randomly selected, the average number of days per week a member worked out would be about 1.36 days.

Question 2

Your neighborhood gym tracked how many days each of its members worked out over the past week. Let G = the number of days per week a member worked out.

Revolt · Accepted Answer

✔ skewed right; Since the shape of the distribution for the number of days is , we expect the median to be the mean number of days. This is confirmed when we calculate the median to be compared to the mean of 1.36 da: skewed right; Since the shape of the distribution for the number of days is , we expect the median to be the mean number of days. This is confirmed when we calculate the median to be compared to the mean of 1.36 da: less than; Since the shape of the distribution for the number of days is , we expect the median to be the mean number of days. This is confirmed when we calculate the median to be compared to the mean of 1.36 da: 1; Since the shape of the distribution for the number of days is , we expect the median to be the mean number of days. This is confirmed when we calculate the median to be compared to the mean of 1.36 da: pulled toward the tail

Question 3

A popular streaming service surveyed all of the students at a school about the number of TV shows they streamed last Friday night, then recorded the results.

Revolt · Accepted Answer

✔ roughly symmetric; Since the shape of the distribution for number of TV shows streamed is , we expect the median to be the mean number of TV shows streamed. This is confirmed when we calculate the median to be , compare: roughly symmetric; Since the shape of the distribution for number of TV shows streamed is , we expect the median to be the mean number of TV shows streamed. This is confirmed when we calculate the median to be , compare: very close to; Since the shape of the distribution for number of TV shows streamed is , we expect the median to be the mean number of TV shows streamed. This is confirmed when we calculate the median to be , compare: 2; Since the shape of the distribution for number of TV shows streamed is , we expect the median to be the mean number of TV shows streamed. This is confirmed when we calculate the median to be , compare: about the same as the median

Question 4

How do the number of cups of coffee that nurses drink during their shift differ between the day shift and night shift nurses? The probability distribution for the amount of coffee consumed for the two nursing shifts is provided in the table.

Revolt · Accepted Answer

✔ roughly symmetric; The distribution of number of cups of coffee for the day shift is , while the distribution for the night shift is . The mean for the distribution of the day shift is the mean for the night shift. By l: roughly symmetric; The distribution of number of cups of coffee for the day shift is , while the distribution for the night shift is . The mean for the distribution of the day shift is the mean for the night shift. By l: skewed left; The distribution of number of cups of coffee for the day shift is , while the distribution for the night shift is . The mean for the distribution of the day shift is the mean for the night shift. By l: less than

Discrete Random Variables – Mean Answers

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