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Question 9 of 11 At a large university, the probabiliry that a student takes cal

ID: 3073515 • Letter: Q

Question

Question 9 of 11 At a large university, the probabiliry that a student takes calculus and is on the dean's list i 0.067. The probability that a student is on the dean's list is 0.32. Find the probability that the alculus, gives that he or she is on the dean's list. Please round the final answer to 5 of 5 ces. … w-. aS taking calculus given that he or she is on the dean's list) 24/2018 ALEKS Elyse London Question 10 of 11 Only 26% of a country's adults get enough leisure time exercise to achieve cardiovascular fitness. Choose 4 adults at random. Find the probabilities of the following Enter your answer as a fraction or a decimal rounded to three decimal places. Part 1 All 4 get enough daily exercise P(all 4 get enough daily exercise)- Part 2 At least 1 of the 4 gets enough exercise P(at least I gets enough exercise)- Question 11 of 11 If 6 cards are drawn from a deck of 52 and mot replaced, find the probability of getting at least one spade. Enter your answer as a fraction or a decimal rounded to 3 decimal places P(at least 1 spade)- Copyright © 2018 The McGraw-Hill Companies. All rights reserved.

Explanation / Answer

Solution:-
9) P(A) = probability that student is taking calculus

P(B) = probability that student is on the dean's list

P(AB) = P(A B) / P(B)

P(A B) = 0.067

P(B) = 0.32

P(AB) = 0.067 / 0.32

P(AB) = 0.2094
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10) Given that p = 0.26, n = 4

Part 1) P(all 4 get enough daily exercise) = 0.0046


Part 2) P(at least 1 gets enough exercive) = 0.7001

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