Math 136 - Introduction to Statistics » Fall 2021 » QUIZ 3 PROBABILITY DISTRIBUTION AND EXPECTED VALUES

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Question #1
Find the mean of the given probability distribution. The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are 0.5470, 0.3562, 0.0870, 0.0094, and 0.0004, respectively. Round answer to the nearest hundredth.
A.   μ = 2.00
B.   μ = 1.11
C.   μ = 0.46
D.   μ = 0.56
Question #2
Provide an appropriate response. Round to the nearest hundredth. A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.49, 0.39, 0.08, and 0.04, respectively. Find the standard deviation for the probability distribution. Round answer to the nearest hundredth.
A.   σ = 0.79
B.   σ = 0.62
C.   σ = 1.03
D.   σ = 1.05
Question #3
Identify the given random variable as being discrete or continuous. The number of freshmen in the required course, English 101
A.   Continuous
B.   Discrete
Question #4
In a game, you have a 1/36   probability of winning $94 and a 35/36 probability of losing  $8. What is your expected value?
A.   -$7.78
B.   -$5.17
C.   $10.39
D.   $2.61
Question #5
Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets where the prize for the one winning ticket is to be $500. What is your expected value?
A.   -$0.50
B.   -$0.40
C.   $0.0
D.   -$1.00

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