A Statistics Department Is Contacting Alumni by Telephone Asking for Donations

question 66

Short Answer

A Statistics Department is contacting alumni by telephone asking for donations to help fund a new computer laboratory. Past history shows that 80% of the alumni contacted in this manner will make a contribution of at least $50. A random sample of 20 alumni is selected. Let x represent number of alumni that makes at contribution of at least $50.
What is the probability that exactly 15 alumni will make a contribution of at least $50?
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What is the probability that between 14 and 18 alumni, inclusively, will make a contribution of at least $50?
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What is the probability that less than 17 alumni will make a contribution of at least $50?
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What is the probability that more than 15 alumni will make a contribution of at least $50?
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How many alumni would you expect to make a contribution of at least $50?
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Definitions:

Fowler's Position

A semi-upright sitting position used in medical settings to improve breathing and decrease pressure on the abdomen.

Headrest

An object designed to support the head, often attached to a seat or used independently for comfort and posture support.

Diagnosis

The identification of the nature and cause of an illness or other problem through the examination of symptoms and tests.

Procedure

A specific way of performing a task, especially a systematic or established one, often related to medical or technical operations.