Suppose that the random variable z, shown below, represents the number times. P(z) 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. 17 z P(z) 0.2686 1 0.264 2 0.2633 0.1363 4 0.0485 0.0193 6+ 0.0000 a) What is the probability that a randomly selected person has received three tickets in a three-year period? P(z = 3) = %3D b) What is the probability that a randomly selected person has received one tickets in a three-year period? P(z = 1) = c) What is the probability that that a randomly selected person has received more than three tickets in a three-year period? P(z > 3) = d) What is the probability that that a randomly selected person has received zero or less tickets in a three- year period? P(z < 0) =

In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Compute and interpret the mean of the random variable X. Hx = marriages (Type an integer or a decimal. Do not round.) X 0 1 2 3 4 5 P(x) 0.264 0.567 0.136 0.029 0.003 0.001

A pencil company has four extruders for making pencil lead. The maintenance manager has determined from historical data that the following table describes the distribution of the number of extruders down (out of operation) on any given day: y 0 1 2 3 4 P(y) 0.5 0.3 0.1 0.05 0.05 a. Find the probability that three or more extruders are down. b. Find the probability that fewer than one extruder is down. c. Find the expected number of extruders down. d. Find the population variance and the population standard deviation for the number of extruders down.

The table below shows the probability distribution of a random variable X. xr 1 2 4 5. P(X = x) 0.2 0.2 0.3 2p Find the value of p. О 0.10 O 0.15 O 0.51 O 0.20

For families with 5 children, let XX be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable XX? xx P(x)P(x) 1 0.2077 2 0.0943 3 0.3281 4 0.1105 5 0.3232 A. yes B. noIs it correct answer B?

Suppose that the random variable z, shown below, represents the number times . 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. 56 I P(x) 0 0.3028 1 0.2745 2 0.2629 3 0.0889 4 0.0406 0.0303 6+ 0.0000 a) What is the probability that a randomly selected person has received one tickets in a three-year period? P(x = 1) = 0.2745 b) What is the probability that a randomly selected person has received five tickets in a three-year period? P(r = 5) = 0.0303 c) What is the probability that that a randomly selected person has received more than two tickets in a three-year period? P(x > 2) 0.1598 d) What is the probability that that a randomly selected person has received five or less tickets in a three- year period? P(x < 5) = 1

For familiés with 5 children, let X be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable X? P(x) 1 0.2862 0.0776 3. 0.1155 4 0.0491 0.3974 O no O yes 2.

The Sarasota Police department collected data on the number of car accidents (X ) that occur each day on a certain stretch of route 41. From this data, they derived the probability distribution shown in the table below. X P(X) 0.80 1. 0.15 0.05 What is the expected mean (average) number of accidents that occur each day? O 0 50 1.00 O 0.33 O 0.25 O o O

Suppose that the random variable x, shown below, represents the number times . 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. 19 a| P(x) 0 0.2749 Rectangular Snip 1 0.2522 2 0.2511 3 0.1494 4 0.0455 0.0269 6+ 0.0000 a) What is the probability that a randomly selected person has received two tickets in a three-year period? P(x = 2) %3D b) What is the probability that a randomly selected person has received four tickets in a three-year period? P(x = 4) 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 three or less tickets in a three-year period? P(x < 3)