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Unformatted text preview: 48. An experiment consists of ﬁrst performing a task in which A, B , or C can occur. Then, a second task is performed in which D or
E can occur. The following probabilities are known: P (A) = 0.3, P (C ) = 0.5, P (D|A) = 0.25, P (E |B ) = 0.7, P (D|C ) = 0.64.
Find the following: (a) P (E ) (b) P (B |E ) (c) P (A ∪ D) 49. The scores on an English exam were normally distributed with a mean of 65 and a standard deviation of 5. If 10% of the class
received an A on the exam and 15% of the class received a B on the exam, what was the cutoﬀ for a B ? 50. Solve the following linear programming problem:
Minimize C = 2x + 4y
Subject to 0.1x + 0.1y ≥ 1
x + 2y ≥ 14
x ≥ 0, y ≥ 0 51. Brian has decided to purchase an engagement ring for his girlfriend. The ring costs $3,500. He decided to put 10% down
and then ﬁnance the remaining balance for ﬁve years at 6.25%/year compounded annually. If he is required to make annual
payments, create an amortization schedule for the loan. 52. A game consists of rolling a pair of fair six-sided dice. If the sum of the numbers is less than 5, the player wins $5. If the sum
of the numbers is greater than 9, the player wins $4. Otherwise, the player loses $A. Find the value of A that makes this game
fair. 11 ...
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This note was uploaded on 03/04/2012 for the course MATH 141 taught by Professor Jillzarestky during the Fall '08 term at Texas A&M.
- Fall '08