Suppose that the random variablex, shown below, represents the number of speeding tickets a person received in a three-year period.

P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions.

x P(x

0 0.2965

1 0.2806

2 0.2544

3 0.1057

4 0.0327

5 0.0301

6+ 0.0000

a)What is the probability that a randomly selected person has received four tickets in a three-year period?

P(x=4)=

b)What is the probability that a randomly selected person has received four or more tickets in a three-year period?

P(x4)=

c)What is the probability that a randomly selected person has received more than four tickets in a three-year period?

P(x>4)=

d)Would it be unusual to randomly select a person who has received four tickets in a three-year period?

• Yes
• No

e)Which probability should we use to determine whether or not it is unusual to randomly select a person who has received four tickets in a three-year period?

• P(x=4)
• P(x>4)
• P(X4)