Suppose you have a machine that randomly prints out tickets with numbers on them. 17% of the time the ticket has number 3. 24% of the time the ticket has number 8. 37% of the time the ticket has number 15. 22% of the time the ticket has number 22. There are no other ticket numbers. Let the random variable X be the number on the ticket.

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Suppose you have a machine that randomly prints out tickets with numbers on them. 17% of the time
the ticket has number 3. 24% of the time the ticket has number 8. 37% of the time the ticket has
number 15. 22% of the time the ticket has number 22. There are no other ticket numbers. Let the
random variable X be the number on the ticket.
27. Use the Ticket Machine Setup. Find the mean for the distribution of X.
A. 10.82
В. 11.82
С. 12.82
D. 13.82
28. Use the Ticket Machine Setup. Find the variance for the distribution of X.
A. 38.2676
В. 40.2676
С. 42.2676
D. 44.2676
29. Use the Ticket Machine Setup. Find the standard deviation for the distribution of X.
A. 4.5014
В. 6.5014
С. 8.5014
D. 10.5014
30. Flip five unfair coins where, for each coin, P(H) = 0.35 and P(T) = 0.65. Let X be the total number of
heads. Find P(X = 3), the probability of getting 3 heads.
A. 0.1211
B. 0.1411
C. 0.1611
D. 0.1811
Transcribed Image Text:Suppose you have a machine that randomly prints out tickets with numbers on them. 17% of the time the ticket has number 3. 24% of the time the ticket has number 8. 37% of the time the ticket has number 15. 22% of the time the ticket has number 22. There are no other ticket numbers. Let the random variable X be the number on the ticket. 27. Use the Ticket Machine Setup. Find the mean for the distribution of X. A. 10.82 В. 11.82 С. 12.82 D. 13.82 28. Use the Ticket Machine Setup. Find the variance for the distribution of X. A. 38.2676 В. 40.2676 С. 42.2676 D. 44.2676 29. Use the Ticket Machine Setup. Find the standard deviation for the distribution of X. A. 4.5014 В. 6.5014 С. 8.5014 D. 10.5014 30. Flip five unfair coins where, for each coin, P(H) = 0.35 and P(T) = 0.65. Let X be the total number of heads. Find P(X = 3), the probability of getting 3 heads. A. 0.1211 B. 0.1411 C. 0.1611 D. 0.1811
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