Twa kɔ nsɛm atitiriw so
Log in
Sign up for FREE
arrow_back
Laabri

5.2 Mean and Standard Deviation of Discrete RV

star
star
star
star
star
Last updated 5 months ago
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.

1
1
1
1
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Make a histogram of the probability distribution.

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Describe the shape of the histogram of the variable T.

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Calculate the mean of T.

Asemmisa {{asɛmmisaAhyɛnsode}}
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
Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Calculate the mean of X.

2
Asemmisa {{asɛmmisaAhyɛnsode}}
6.
2
Asemmisa {{asɛmmisaAhyɛnsode}}
7.

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
Asemmisa {{asɛmmisaAhyɛnsode}}
8.
3
Asemmisa {{asɛmmisaAhyɛnsode}}
9.
2
Asemmisa {{asɛmmisaAhyɛnsode}}
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
Asemmisa {{asɛmmisaAhyɛnsode}}
11.

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