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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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Solution Summary

Converting a random variable X to Z and then using the Z-table, we compute several probabilities for some limits of the random variable X.

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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 ...

Solution provided by:
Chris Busu, PhD (IP)
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  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
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