4/ A quality control inspector has determined that 0.25% of all parts manufactured by a particular...

4/ A quality control inspector has determined that 0.25% of all parts manufactured by a particular machine are defective. If 50 parts are randomly selected, find the probability that there will be at most one defective part.

5/ A fair die is rolled 10 times. Compute the probability that a “one” appears exactly once.

6/ If two dice are tossed six times, find the probability of obtaining a sum of 7 two or three times.

7/ A machine produces parts of which 0.2% are defective. If a random sample of ten parts produced by this machine contains two or more defectives, the machine is shut down for repairs. Find the probability that the machine will be shut down for repairs based on this sampling plan.

8/ It was reported in a medical journal that about 70% of the individuals needing a kidney transplant find a suitable donor when they turn to registries of unrelated donors. Assume that a group of ten individuals needing a kidney transplant. Let x represent the number of individuals needing a kidney transplant who will find a suitable donor among the registries of unrelated donors.

a) Find the probability that all ten will find a suitable donor among the registries of unrelated donors.

b) Find the probability that at least eight will find a suitable donor among the registries of unrelated donors.

Expert Solution

orchestra answered 2 years ago

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