32% of U. S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) exactly two, (b) more than two, and (c) between two and five, inclusive

Step-by-step explanation:

a. Our random variable follows a binomial distribution which is defined as:

where is the probability of success, the sample size and the random variable.

-Given that , what's

Hence, the probability of exactly two is 0.2107

b. The probability that more than two adults are more likely to make purchases during a sales tax holiday is given by:

Hence the probability of more that two adult purchases is 0.6727

c. The probability that the number of adults who say they are more likely to make purchases between 2 and 5 is obtain by summing the the probabilities

p(x=2)+p(x=3)+p(x=4)+p(x=5).

-From b above, we already have p(x=2)=0.2107. Therefore:

-Hence the probability of between two and five is 0.8157

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