Suppose that the random variable x , shown below, represents the number times . ( Thank you!, Much Appreciated!)

Question

 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 0.2701}

^{1 0.254}

^{2 0.2193}

^{3 0.1996}

^{4 0.0312}

^{5 0.0258}

^{6+ 0.0000}

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

P(x = 3) = ________

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

P(x = 2) = ________

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

P(x > 5) = ________

d) What is the probability that that a randomly selected person has received one or less tickets in a three-year period?

P(x ≤ 1) = _______

Answer 1

I will assume that all questions refer to the same 3-year period.

a) p=0.1996

b) p=0.2193

c) p=p(6) = 0.0000

d) p=p(1) + p(0) = 0.2540 + 0.2701 = 0.5241