Question

Let the random variable x denote the number of burglaries reported to a police department in...

  1. Let the random variable x denote the number of burglaries reported to a police department in a given day. Use the following probability distribution to answer the following questions.

x

P(x)

xP(x)

x2P(x)

0

0.48

0

0

1

0.39

0.39

0.39

2

0.10

0.20

0.40

3

0.02

0.06

0.18

4

0.01

0.04

0.64

Total

1

∑[xP(x)] = 0.69

∑[x2P(x)]= 1.61

  1. What is the probability that three burglaries are reported in a day?

P(x = 3) =

  1. Is it unusual for no burglaries to be reported in a day? Why or why not?

  1. What is the probability that more than two burglaries are reported?

P(x > 2) = ________

  1. What is the probability that at most three burglaries are reported?

P(x ≤ 3) = ________

0 0
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