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# Math 1f92 – Assignment # 5

• Date Submitted: 09/02/2016 10:40 PM
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MATH 1F92 – Assignment # 5

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MATH 1F92 – Assignment # 5

Assignments must have a cover page (refer to the course outline).   Please write on one side of the page only and show ALL your work. Answer questions with sentences. Include any printout for a question with the question and clearly label the printout with the question number and part.   Keep three decimal places.

1. The amount of time spent waiting in line at a grocery store express checkout varies from 5 minutes to 15 minutes and follows a uniform distribution. Let X be the amount of time spent waiting in line.
1. Draw a sketch of the distribution of X.
2. Find the probability that a customer waits in line for at most 7 minutes.
3. Find the probability that a customer waits for more than 12 minutes.
4. Find the probability that a customer waits between 6 minutes and 13 minutes.
5. Find the probability that a customer waits exactly 8 minutes.
6. Suppose you arrive at the express checkout (with less than 8 items, of course) at
5:00 p.m. and have plans to meet a friend at the food court at 5:20 p.m.   If it takes 6 minutes for your groceries to be scanned and paid for and 2 minutes to walk from the store to the food court, what is the probability you will be on time to meet your friend?

2. Heights of women are normally distributed with a mean of 63.5 inches and a standard deviation of 2.5 inches. Draw a sketch of the distribution of women’s heights, labelling and on your sketch. Use this information and the Empirical Rule to answer a) to d), shading the areas that represent the percentages/probabilities you have found.
3. Approximately what percentage of women is taller than 71 inches?
4. What is the approximate probability that a randomly selected woman is between 56 and 58.5 inches tall?
5. What is the maximum possible height...