I need help with D and E. Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A). The probability that you receive an Athletic scholarship is 0.22. Theprobability of receiving both scholarships is 0.14. The probability of getting at least one of the scholarships is 0.35.(a) What is the probability that you will receive a Merit scholarship?0.27(b) Are Events A and M mutually exclusive? Why or why not? Explain.Yes, because P(AN M) = 0.Yes, because P(AM) + 0.No, because P(An M) = 0.No, because P(AN M) = 0.(c) Are Events A and M independent? Explain using probabilities.Yes, because P(A N M) = P(A)P(M).Yes, because P(A NM) + P(A)P(M).No, because P(A N M) ‡ P(A)P(M).No, because P(A N M) = P(A)P(M).(d) What is the probability of receiving the Athletic scholarship given that you have been awarded the Merit scholarship? (Round your answer to four decimal places.)(e) What is the probability of receiving the Merit scholarship given that you have been awarded the Athletic scholarship? (Round your answer to four decimal places.)Need Help? Read It

Given dataThe probability that you will receive athletic scholarship is 0.22The probability of…

Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A). The probability that you receive an Athletic scholarship is 0.22. The probability of receiving both scholarships is 0.14. The probability of getting at least one of the scholarships is 0.35. (a) What is the probability that you will receive a Merit scholarship? 0.27 (b) Are Events A and M mutually exclusive? Why or why not? Explain. O Yes, because P(AM) = 0. O Yes, because P(AM) + 0. O No, because P(A nM) + 0. O No, because P(AM) = 0. (c) Are Events A and M independent? Explain using probabilities. O Yes, because P(AM) = P(A)P(M). O Yes, because P(AM) # P(A)P(M). O No, because P(AM) # P(A)P(M). O No, because P(AM) = P(A)P(M). (d) What is the probability of receiving the Athletic scholarship given that you have been awarded the Merit scholarship? (Round your answer to four decimal places.) (e) What is the probability of receiving the Merit scholarship given that you have been awarded the Athletic scholarship? (Round your answer to four decimal places.)

Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A). The probability that you receive an Athletic scholarship is 0.22. The probability of receiving both scholarships is 0.14. The probability of getting at least one of the scholarships is 0.35. (a) What is the probability that you will receive a Merit scholarship? 0.27 (b) Are Events A and M mutually exclusive? Why or why not? Explain. O Yes, because P(AM) = 0. O Yes, because P(AM) + 0. O No, because P(A nM) + 0. O No, because P(AM) = 0. (c) Are Events A and M independent? Explain using probabilities. O Yes, because P(AM) = P(A)P(M). O Yes, because P(AM) # P(A)P(M). O No, because P(AM) # P(A)P(M). O No, because P(AM) = P(A)P(M). (d) What is the probability of receiving the Athletic scholarship given that you have been awarded the Merit scholarship? (Round your answer to four decimal places.) (e) What is the probability of receiving the Merit scholarship given that you have been awarded the Athletic scholarship? (Round your answer to four decimal places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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