can you answer 6 A, B and C 5. (4 pts) Use n(U)-142 and the other given informat

Question

can you answer 6 A, B and C

5. (4 pts) Use n(U)-142 and the other given information to get the right niimbers in the 8 different regions of the Venn diagram. M-microwave. E-electric, G- 58 use microwave ovens (M) 63 use electric ranges (E) 58 use gas ranges (G) 19 use microwave ovens and electric ranges 17 use microwave ovens and gas ranges 4 use both gas and electric ranges 1 uses all three 2 use none of the three 6. (3 pts) For this question write out the sample space S, choosing an S with equally likely outcomes, if possible. Then give the value of n(S) and tell whether the outcomes in S are equally likely. Finally, write the indicated events in set notation quizt in which he guesses the An unprepared student talkes a three-question, true/false l three questions,so each answer is equaily likely to be correct (c) or wrong (w) Find the following events: a) The student gets three answers wrong b) The student gets exactly two answers correct c) The student gets only the first answer correct Page 3 of 7

Explanation / Answer

a.
The Sample Space = {(w,w,w), (w,w,c), (w,c,w), (w,c,c), (c,w,w), (c,w,c), (c,c,w), (c,c,c)}

n(S) = 8

All the outcomes are equally likely, with probability = 1 / n(S) = 1/8

a)
{(w,w,w)}

b)
{(w,c,c), (c,w,c), (c,c,w)}

c)
{(c,w,w)}

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