Question

In: Statistics and Probability

The following table describes a set of participants and their choice between a SUV and a...

The following table describes a set of participants and their choice between a SUV and a sports car. Use this data for the following questions. Assume one participant is randomly chosen for each one

SUV sports car totals
male 21 39 60
female 135 45 180
totals 156 84 240

a. What is the probability that the chosen participant is female?

b. What is the probability that the chosen participant prefers a sports car?

c. Whatistheprobabilitythatthechosenparticipantisamaleand prefers a SUV?

d. What is the probability that the chosen participant is either a male or prefers a SUV?

Solutions

Expert Solution

Let , S be the Sample space . Therefore , n(S)=240

a. Let , F be the event that the participant is female

Therefore ,

b. Let , A be the event that the participants prefers a sports car

Therefore ,

c. Let , M be the event that the participant is male and B be the event that the participant prefers a SUV

Therefore ,

d. Let , M be the event that the participant is male and B be the event that the participant prefers a SUV

Therefore ,

By using addition therom,

orchestra answered 2 years ago
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