A survey of 545 college students asked: What is your favorite winter sport? And,

Question

A survey of 545 college students asked: What is your favorite winter sport? And, what type of college do you attend? The results are summarized below Favorite Winter Sport College Type Junior College Four-Year College Graduate School Total Snowboarding Skiing Ice Skating 68 84 59 211 46 78 47 163 Total 155 218 188 545 56 74 ata Using these 545 students as the sample, a student from this study is randomly selected. a. What Is the probabillity of selecting a student whose favorite sport is skllng? (Round your answer to 4 declmal places.) b. What is the probability of selecting a Junior-college student? (Round your answer to 4 declmel places.) robabili c. If the student selected is a four-year-college student, what is the probablity that the student prefers ice skating? (Round your answer to 4 declmal places.) d. If the student selected prefers snowboarding, what is the probablity that the student Is In junior college? (Round your answer to 4 declmal places.) e. If a graduate student is selected, what Is the probabillity that the student prefers sklling or ice skating? (Round your answer to 4 declmal places.)

Explanation / Answer

a) p(favorite sport is skiing) = n( Skiing) / n ( total students)

= 171/545

=0.3138

b)

p(Junior college student) = n(Junior college student) / n(total students)

= 155/545

= 0.2844

c)

p(Ice skating | four year college student) = n(Ice skating AND four year college) / n (four year college student)

= 70/210

= 0.3333

d)

P(Student is Junior college | snowboarding) = n(student in junior college AND snowbaording) / n(snowboarding)

= 68/211

= 0.3223

e)

P(Student prefers skiing or Ice skating | Graduate student)

= 74+47 / 180

= 0.6722

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