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5,6,7 need solved please ..

5. You are the quality control manager of a series of assembly line operations that produce small car parts. From historical records, you realize that the chance of producing a defective part is 6 %. It is believed that the appearance of one bad part on the line has no impact on the status of the parts following it on the line. Of the next ten parts coming off the assembly line, whats the probability that none will be bad? What is the probability that at most two will be defective? Whats the probability that at least one will be bad ? What is the expected number of bad ones that you would see if you took many samples of 10 parts from the lne? If you increase the sample size from 10 to 20 items, whats the probability that at least one will be bad ? 6: One of the samples containing 10 items fromthe Problem # 5 above was put in a bin. You are told that four of these ten items were determined to be defective. However, none of the parts was labeled as good or bad. You select two of them without replacement. Whats the probability that both are good? What is the probability that one of the two you select is defective ? Whats the probability that neither of the two is a good part? 7. An insurance company calculates the probability that a man with a Type A lifestyle will be alive in the next thirty years is 0.7. The probability that a man with a Type B lifestyle survives the next 30 years is 0.8. The life span of one type man has no impact on the life span of the other type of man. (A Venn Diagram may help, but it is not crucial to the problem.) a. What is the probability that both men will be alive in the next 30 years? b. What is the probability that at least one will be alive in the next thirty years ? c. What is the probability that only one will be alive after the next thirty years? d. What is the probability that neither will be alive in thirty years? e. What is the probability that the Type A man doesnt survive the next thirty years given the Type B man does ?

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