Back to 15.3 Problems on Random Selection

15.3 Exercise 26

Avg difficulty 2.5

A job is put out for bids. Experience indicates the number N of bids is a random variable having values 0 through 8, with respective probabilities

Value 0 1 2 3 4 5 6 7 8
Probability 0.05 0.10 0.15 0.20 0.20 0.10 0.10 0.07 0.03

The market is such that bids (in thousands of dollars) are iid, uniform [100, 200]. Determine the probability of at least one bid of $125,000 or less.

Pfeiffer, Applied Probability, 15.3 Problems on Random Selection, exercise 26

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.