Question

A survey of middle school students asked: What is your favorite winter sport? The results are summarized below:Favorite Winter Sportpolarbear Grade MB Snowboarding Skiing Ice Skating TOTAL6th 68 41 46 1557th 84 56 70 2108th 59 74 47 180TOTAL 211 171 163 545Using these 545 students as the sample space, a student from this study is randomly selected. a) What is the probability of selecting a student whose favorite sport is skiing?b) What is the probability of selecting a 6th grade student?c) If the student selected is a 7th grade student, what is the probability that the student prefers ice-skating?d) If the student selected prefers snowboarding, what is the probability that the student is a 6th grade student?e) If the student selected is an 8th grade student, what is the probability that the student prefers skiing or ice-skating?

Answer 1

Answer:

a) 31.38%

b) 28.44%

c) 33.33%

d) 73.46%

e) 53.89%

Step-by-step explanation:

(See picture attached for sub-totals)

a) What is the probability of selecting a student whose favorite sport is skiing?

P = 171/545 = 0.3138 = 31.38%

b) What is the probability of selecting a 6th grade student?

P = 155/545 = 0.2844 = 28.44%

c) If the student selected is a 7th grade student, what is the probability that the student prefers ice-skating?

P = 70/210 = 0.3333 = 33.33%

d) If the student selected prefers snowboarding, what is the probability that the student is a 6th grade student?

P = 155/211 = 0.7346 = 73.46%

e) If the student selected is an 8th grade student, what is the probability that the student prefers skiing or ice-skating?

P = 180/(171+163) = 180/334 = 0.5389 = 53.89%