Question
FOR 5.EOC.51-E A golfer claims that 85% of thetime, he will score less than 90 on the golf course he normally plays. Consider his next
FOR 5.EOC.51-E
A golfer claims that 85% of thetime, he will score less than 90 on the golf course he normally plays. Consider his next 10 rounds of golf. Complete parts a through d.
a. What is the probability that he will score lower than 90 on all 10 rounds?
b. What is the probability that he will score lower than 90 on 8 or morerounds?
c. What is the probability that he will score lower than 90 on either 6 or 7rounds?
d. Suppose that out of the 10 rounds, he scores lower than 90 on 4 of them. What conclusions can be drawn about thegolfer's claim?
FOR 5.EOC.54-E
According to the University BusinessOfficers, in one academicyear, 81% offirst-time, full-time freshmen at private colleges were the recipients of some form of financial aid. A random sample of 6 freshmen was selected for the academic year. Complete parts A through D.
a. What is the probability that all six freshmen from this sample received financial aid in the academicyear?
b. What is the probability that three or more freshmen from this sample received financial aid in the academicyear?
c. What is the probability that fewer than four freshmen from this sample received financial aid in the academicyear?
d. What are the mean and standard deviation for thisdistribution?
FOR 5.EOC.55-E
Regifting is defined as the act of taking a gift that has been given to you and presenting it as a gift to someone else. According to survey conducted by a credit card company regarding consumerspending, 64 of the respondents felt that it was socially acceptable to regift during the holiday season(big sigh ofrelief). Suppose a random sample of 10 holiday shoppers was selected. Complete parts a through d.
a. What is the probability that 8 shoppers from this sample felt that regifting was sociallyacceptable?
b. What is the probability that more than 7 shoppers from this sample felt that regifting was sociallyacceptable?
c. What is the probability that fewer than 10 shoppers from this sample felt that regifting was sociallyacceptable?
d. What are the mean and standard deviation for thisdistribution?
FOR 5.EOC.69-E
A grocery store has 23 two-liter bottles of diet cola on the shelf, 5 of which have exceeded their shelf-life date. You randomly select 3 bottles of diet cola without checking the expiration date. Determine the probability of the following:
a. None of the bottles have exceeded their expiration date.
b. At least two of the bottles have exceeded their expiration date.
c. Calculate the mean and standard deviation of this distribution.
d. Verify your results with Excel.
5.EOC.71-E
A department at a school comprises 10 faculty and 9 administrators. They organize a committee of 9 people from the department. The committee members are randomly selected. Complete parts a through d.
a. Determine the probability that the committee consists of seven faculty and two administrators.
b. Determine the probability that the committee consists of three faculty and six administrators.
c. Determine the probability of selecting all faculty and no administrators.
d. Calculate the mean and standard deviation for the distribution which defines selecting a faculty as a success.
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