Showing 11 to 20 of 851 Questions
  • A batch of 500 containers for frozen orange juice contains 5 that are defective. Two are selected, at random, without replacement, from the batch. Let A and B denote the events that the first and second container selected is defective, respectively. (a) Are A and B independent events? (b) If the sampling were done with replacement, woul

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  • A batch of 500 machined parts contains 10 that do not conform to customer requirements. The random variable is the number of parts in a sample of 5 parts that do not conform to customer requirements.

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  • A bin of 50 parts contains five that are defective. A sample of two is selected at random, without replacement. (a) Determine the probability that both parts in the sample are defective by computing a conditional probability. (b) Determine the answer to part (a) by using the subset approach that was described in this section.

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    235
  • A box contains 500 envelopes of which 75 contain $100 in cash, 150 contain $25, and 275 contain $10. An envelope may be purchased for $25. What is the sample space for the different amounts of money? Assign probabilities to the sample points and then find the probability that the first envelope purchased contains less than $100.

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    583
  • A box has numbers from 1 to 10. A number is drawn at random. Let X1 be the number drawn. This number is replaced, and the ten numbers mixed. A second number X2 is drawn. Find the distributions of X1 and X2. Are X1 and X2 independent? Answer the same questions if the first number is not replaced before the second is drawn.

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    131
  • A byte is a sequence of eight bits and each bit is either 0 or 1. (a) How many different bytes are possible? (b) If the first bit of a byte is a parity check, that is, the first byte is determined from the other seven bits, how many different bytes are possible?

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    247
  • A California study concluded that by following 7 simple health rules a man's life can be extended by 11 years on the average and a woman's life by 7 years. These 7 rules are as follows: no smoking, regular exercise, use alcohol moderately, get, 7 to 8 hours of sleep, maintain proper weight, eat, breakfast, and do not eat between meals. In

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    413
  • A carbon monoxide detector in the Wheelock household activates once every 200 days on average. Assume this activation follows the exponential distribution. What is the probability that:a. There will be an alarm within the next 60 days?b. At least 400 days will pass before the next alarm?c. It will be between 150 and 250 days until the nex

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  • A card is drawn from a standard deck of playing cards. For each of the following pairs of events, indicate if the events are mutually exclusive and indicate if the events are exhaustive. (a) Draw a spade and draw a club. (b) Draw a face card and draw a number card. (c) Draw an ace and draw a three.(d) Draw a red card and draw a black card

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    32
  • A case of 24 cans contains 1 can that is contaminated. Three cans are to be chosen randomly for testing.a. How many different combinations of three cans could be selected?b. What is the probability that the contaminated can is selected for testing?

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