Question

finite math

For each question, give an exact answer or give at least 4 decimal places. Show your work. 45% of the students in a school are female, and 65 % of the female students do volunteer 1. work. 60 % of the male students do volunteer work. Find the probability that a randomly selected student: a. is a female and does volunteer work b. is a female, given that the student does volunteer work 2. An NBA player makes a successful free-throw 84% of the time. If he takes 6 shots, find the probability that he will make: a. exactly 4 shots b. at least 1 shot c. at least 5 shots

Answer 1

Solution 1 het total students in school = y female students = 45 y Number of female student do volunteer week = h y Probability that a randomly selected student female and does volunteer work = 20 x 20 xy Volentoerwont femal student - y Total student) 117 400 (6 Male students = 55 y. Number of male student do Volunteer weyle = boxy 7

Probability that a randomly selected student is a female, given that the student does volunteer work female student do volunteer work Total female student Solution 2 Probability of succerul free thooo a 84 Probability of Not succentul through a 1 - 2 (a) [p (succertul) + P (Blot succenful) ] term in expansion C ) pateiking = was one > Rebeliny = 15(1) (2)

6 Probability for atleast I shat = |- Probabily for o shot 31-4131975) @ Probability for atleast s shots - G (333'+ () +(973) + Bo Portobelety = 0