2. A manufacturer of computer chips claims that the probability of a defective c

Question

2. A manufacturer of computer chips claims that the probability of a defective chip is 0.003. The manufacturer sells chips in batches of 500 to major computer companies.

How many defective chips would you expect in a batch? (Round the final answer to 2 decimal places.)

What is the probability that none of the chips are defective in a batch? (Round the final answer to 4 decimal places.)

What is the probability at least one chip is defective in a batch? (Round the final answer to 4 decimal places.)

  Probability:

2. In the game of heads or tails, if two coins are tossed, you win $0.84 if you throw two heads, win $0.42 if you throw a head and a tail, and lose $1.26 if you throw two tails. What are the expected winnings of this game?(Round the final answer to 4 decimal places.)

2. A manufacturer of computer chips claims that the probability of a defective chip is 0.003. The manufacturer sells chips in batches of 500 to major computer companies.

Explanation / Answer

2)

a) defective chips would you expect in a batch =np =500*0.003 =1.5

b)probability that none of the chips are defective in a batch =(1-0.003)500 =0.2226

c) probability at least one chip is defective in a batch =1-P(none is defective) =0.7774

2)

here probability of two head =0.25 =probability of two tails

probability of one head and one tail =0.5

hence   Expected winnings: =0.25*0.84+0.5*0.42-0.25*1.26= $0.1050

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