1. The probability that a cellular phone company kiosk sells X number of new phone contracts per day is shown below. Find the mean for this probability distribution. Round it to the nearest tenths.
X
4
5
6
8
10
P(X)
0.4
0.3
0.1
0.15
0.05
2. The probability that a cellular phone company kiosk sells X number of new phone contracts per day is shown below. Find the variance for this probability distribution. Round it to the nearest hundredths.
X
4
5
6
8
10
P(X)
0.4
0.3
0.1
0.15
0.05
3. The probability that a cellular phone company kiosk sells X number of new phone contracts per day is shown below. Find the standard deviation for this probability distribution. Round the answer to the nearest hundredths.
X
4
5
6
8
10
P(X)
0.4
0.3
0.1
0.15
0.05
4. A landscape contractor bids on jobs where he can make $3000 profit. The probability of getting 1, 2, 3, or 4 jobs per month are shown below. Find the contractor's profit per month.
Number of jobs
1
2
3
4
Probability
0.2
0.3
0.4
0.1
5. If the variance of a random variable is 4, what is the standard deviation?
6. For a game at the carnival you get to roll a ten-sided die, numbered from 1 to 10. If you roll at least a 3, you win$10. Unfortunately, if you roll anything else, you lose $15. How much money do you expect to make (or lose) per game?