Posted: September 18th, 2017

t a large university, the graduation rate for student athletes was reported to be 0.62. For two of the following, we cannot use this chapter’s methods to find the probability in question.

(i) | The probability that fewer than 3 in a random sample of 6 athletes at the university graduate. |

(ii) | The probability that fewer than 16 in a random sample of 20 athletes at the university graduate. |

(iii) | The probability that fewer than 16 in a random sample of 20 football players at the university graduate. |

For one of the situations we *can* use this chapter’s methods to find the probability in question. Which one is it?

In this case, calculate the following.

(a) Calculate the standard deviation of sample proportion. (Round your answer to two decimal places.)

(b) Calculate the sample proportion. (Round your answer to two decimal places.)

(c) Calculate the standardized sample proportion *z*. (Round your answer to the nearest whole number.)

(d) Use the 68-95-99.7 Rule to report the probability in question. (Use your rounded *z*-value from part (c).)

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