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A set of in-class quiz questions for a probability and statistics course. The quiz consists of two problems. The first problem deals with the probability of servicing all cordless phones among the first ten phones in a group of fifteen telephones. The second problem involves calculating the expected value and variance of a random variable y, which represents the number of moving violations for an individual during the last 3 years, based on the given probability mass function.
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22s:039 Name:
Monday, February 11 Section:
In-Class Quiz 2 10 points
The phones will be serviced in random order.
(a) What is the probability that all the cordless phones are among the first ten to be serviced?
(b) What is the probability that two phones of each type are among the first six serviced?
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y 0 1 2 3 f(y) 0.60 0.25 0.10 0.
(a) Compute E(Y ).
(b) Compute V (Y ) {i.e. The variance of Y }
(c) If an individual with Y violations incurs an extra charge of 100Y 2 , calculate the expected amount of an extra charge.
