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You are teaching a course and present to students a quiz on upcoming material that is new to them. The quiz consists of 15

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

 

1. You are teaching a course and present to students a quiz on upcoming material that is new to them. The quiz consists of 15

questions of the following types:

o Five questions that are True/False

o Seven multiple choice question that have four answer choices

o Three multiple choice questions that have five answer choices

Assume no answers to any question are not dependent on answers to any other questions. Use this information to answer the

following:

A. What is the probability a student answers a total of three (3) questions correctly, one from each question type?

B. What is the average number of questions correct for this quiz?

2. The probability that a person contracts a cold when taking Vitamin C supplements is 0.20. If we have a random sample of 20

people taking such supplements and we know no more than 5 have contracted a cold, what is the probability the number of

people ¡n this sample with colds is exactly 3?

3. We know that heights of U.S. adult females is approximately normal with a mean of about 64 inches and standard deviation of

about 2.5 inches. If we know that a randomly selected U.S. adult female ¡s at least 66 inches tall, what is the probability they

are taller than 68 inches?

4. What is the answer to question three above if we take a random sample of nine (9) U.S. adult females? That is, if we know the

sample mean is at least 66 inches, what is the probability the sample mean is more than 68 inches?

 

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