AI Tutor
Back to 15.3 Problems on Random Selection

15.3 Exercise 8

Avg difficulty 2.5

Game wardens are making an aerial survey of the number of deer in a park. The number of herds to be sighted is assumed to be a random variable N∼N \sim binomial (20, 0.5). Each herd is assumed to be from 1 to 10 in size, with probabilities

Value 1 2 3 4 5 6 7 8 9 10
Probability 0.05 0.10 0.15 0.20 0.15 0.10 0.10 0.05 0.05 0.05

Let D be the number of deer sighted under this model. Determine P(D≤t)P \left(D \leq t\right) for t=25,50,75,100t = 25 , 50 , 75 , 100
and P(D≥90)P \left(D \geq 90\right).

Pfeiffer, Applied Probability, 15.3 Problems on Random Selection, exercise 8

AI Tutor

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