Statistics and Probability Answers

In a given city, 6% of all drivers get at least one parking ticket per year. Use Poisson

approximation to the binomial distribution to determine the probabilities that among

80 drivers, randomly chosen in this city:

a. 4 will get at least one parking ticket in any given year.

Compute and interpret the correlation coefficient for the aptitude scores and grade point averages in Exercise 8 on page 373.

Two events A and B are such that 𝑃(𝐴) = 0.45, 𝑃(𝐵) = 0.22 𝑎𝑛𝑑 𝑃(𝐴 ∪ 𝐵) = 0.53.

5.1.1 Find 𝑃(𝐴̅∪ 𝐵̅)

5.1.2 Are the events A and B independent? 

A bag contains seven white marbles and five black marbles. Find the number of ways four marbles can be drawn from the bag if

a) they can be of either color

b) two must be white and two black. 

Calculate the rank correlation coefficient from the following data specifying the ranks of 7 students in 2 subjects.

Subject 1 98 92 89 83 69 69 65

Subject 2 87 90 98 92 61 83 69