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# Probability of a Random Sample

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A corporation is considering a new issue of convertible bonds. Management believes that the offer terms will be found attractive by 20% of all its current stockholders. Suppose that this belief is correct. A random sample of 144 current stockholders is taken

a. If random sample of 144 current stockholders is taken, what is the probability that more than 15% of them will find offer teams attractive?
b. If random sample of 100 current stockholders is taken, what is the probability that less than 24% of them will find offer teams attractive?
c. If random sample of 81 current stockholders is taken, what is the probability
that less than 74% of them will not find offer teams attractive?
d. If random sample of 100 current stockholders is taken, what is the probability that more than 60% of them will not find offer teams attractive?
e. If random sample of 121 current stockholders is taken, what is the probability that 23% to 26% of these stockholders will find offer teams attractive?

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