Suppose that the random variable x\displaystyle {x}, shown below, represents the number of speeding tickets a person received in a three-year period. P(x)\displaystyle {P}{\left({x}\right)} 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\displaystyle {x}P(x)\displaystyle {P}{\left({x}\right)}
00.3655
10.2623
20.1731
30.1137
40.0475
50.0379
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)=\displaystyle {P}{\left({x}={4}\right)}=

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

P(x≥4)=\displaystyle {P}{\left({x}\ge{4}\right)}=

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

P(x>4)=\displaystyle {P}{\left({x}>{4}\right)}=

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

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