Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Men (M) Women (W) Total 0.35 0.36 0.20 0.09 0.29 0.55 0.45 1.00 0.71 If an indiv

ID: 3071666 • Letter: M

Question

Men (M) Women (W) Total 0.35 0.36 0.20 0.09 0.29 0.55 0.45 1.00 0.71 If an individual is selected at random from this group of 1000 individuals, calculate the following probabilities: a. P(F) b. P(G) c. P(F M) 4.69 Wage Losses and the "Motherhood Gap" ccording to a national survey by TD Economics, 81% of working mothers in Canada re-enter the workforce after leaving their jobs to have kids." Three moms were randomly selected: a. What is the probability that the first selected mom has not re-entered the workforce? b. What is the probability that all three moms re-entered the workforce? c. What is the probability that none of them has re-entered the workforce? d. What is the probability that at least two have re-entered the workforce? 4.70 Alex and Steven The top two 2014-2015 NHL shooting percentage leaders are Alex Tanguay and Steven Stamkos. Hockeyreference.com reports that the shoot- ing percentage for Alex is 18.66, while for Steven it is 17.66. Assume that the shots are independent, and that nlouar tatkes twa shots during a particular game.

Explanation / Answer

4.69

Here number of sampled moms = n = 3

Pr(Reentered the workforce) = 0.81

Pr(Not reentered the workforce) = 0.19

(a) Pr(First selected mom has not reentered the workforce) = 0.19

(b) Pr(ALl three moms reentered the workforce) = 0.81 * 0.81 * 0.81 = 0.5314

(c) Pr(None of them reenetered the workforce) = 0.19 * 0.19 * 0.19 = 0.00686

(d) Pr(at least two have reenterd the workforce) = Pr(Two have entered the workforce) + Pr(three have entered the workforce)

= 3 * 0.81 * 0.81 * 0.19 + 0.81 * 0.81 * 0.81

= 0.9054