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.
Question 1
1.
Make a histogram of the probability distribution.
Question 2
2.
Describe the shape of the histogram of the variable T.
Question 3
3.
Calculate the mean of T.
Question 4
4.
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.
1
Question 5
5.
Calculate the mean of X.
2
Question 6
6.
Interpret the mean of X.
If we pick many, many of Ana's randomly selected _______, the average _______ will be about _______(mean) _______(units).
2
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.
2
Question 8
8.
Calculate the average number of cell phones Casey can expect to sell. _______
If Casey sells this many cell phones, how much would she make? _______
3
Question 9
9.
2
Question 10
10.
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.
1
Question 11
11.
What is the average number of houses sold Christine in a single month at the Oppenheim Group?
Question 7
7.
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).
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).