Showing 11 to 20 of 1260 Questions

A batch of 25 injectionmolded parts contains 5 that have suffered excessive shrinkage. (a) If two parts are selected at random, and without replacement, what is the probability that the second part selected is one with excessive shrinkage? (b) If three parts are selected at random, and without replacement, what is the probability that
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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
1997 
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.
0264 
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.
0607 
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.
0142 
A business manager who needs to make many phone calls has estimated that when she calls a client, the probability that she will reach the client right away is 60%. If she does not reach the client on the first call, the probability that she will reach the client with a subsequent call in the next hour is 20%. a. Find the probability that
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A buyer for a large department store chain must place orders with an athletic shoe manufacturer six months prior to the time the shoes will be sold in the department stores. In particular, the buyer must decide on November 1 how many pairs of the manufacturerâ€™s newest model of tennis shoes to order for sale during the coming summer seas
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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?
0258 
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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