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I need problem 9 b answered with an explanation Problem 9 Masks Unlimited is a large manufacturing company that has submitted a contract offer to

I need problem 9 b answered with an explanation

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Problem 9 Masks Unlimited is a large manufacturing company that has submitted a contract offer to sell its new line of surgical masks to each of three different hospitals - Hospital A, Hospital B, and Hospital C. The probability of being awarded the contract to sell its new line of masks to Hospital A is 0.5, to Hospital B is 0.4 and to Hospital C is 0.7. Assume that the outcomes regarding the three contract offers are independent. Hint: In computing the probabilities below, it is suggested that, for each outcome identified, you consider what must happen with regards to all three hospitals (for each outcome). Problem 9a. Find the probability that Masks Unlimited will be awarded ONLY ONE contract offer. Show all your work. P( A) = 0 . 5 P (A ) = 1 - ( A) . 1 - 0. 5 = 015 [3 marks] P ( B) = 014 P (B ) = 1 - P(B) = 1- 0.4: 016 P ( ( ) = 017 P ( C ) = 1 - P(C ) : 1 - 017 : 0.3 = PRA ) PCB ) P (C ) + P( A/ P (B ) P ( 2 ) + PCA ) P(@) P (C ) = 0 .5 1 0. 6 . 0 , 3 + 0, 5. 0. 4 + 0,3 + 0. 5 + 0. 6 . 0. 7 = 0109 +0: 06+0.21 = 0.36 The probability that mask unlimited will be awarded only ONE contract offer is 3690. Problem 9b. Find the probability that Masks Unlimited will be awarded TWO OR MORE contract offers. Show all [3marks] your work

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