1. The annual snowfall in Saskatoon is a normally distributed variable with a mean of 80 cm and a standard deviation of 20 cm. a) What is the probability that the snowfall in any year will exceed 30 cm? b) What is the probability that the snowfall in any year will be between 55 and 90 cm? 2. Diameters of ball bearings produced by a company follow a normal distribution. If the mean diameter is 0.400 cm and the standard deviation is 0.001 cm, what percentage of the bearings can be used on a machine specifying a size of 0.399 =0.0015 cm? What is the upper bound of the size range that has a lower bound of 0.398 cm and includes 80% of the bearings? 3. The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean 3.2 minutes and a standard deviation of 1.6 minutes. If a random sample of 64 customers is observed, find the probability that their mean time at the teller's window is: a. at most 2.7 minutes; b. more than 3.5 minutes; c. at least 3.5 minutes but less than 3.4 minutes.

1. The annual snowfall in Saskatoon is a normally distributed variable with a mean of 80 cm and a standard deviation of 20 cm. a) What is the probability that the snowfall in any year will exceed 30 cm? b) What is the probability that the snowfall in any year will be between 55 and 90 cm? 2. Diameters of ball bearings produced by a company follow a normal distribution. If the mean diameter is 0.400 cm and the standard deviation is 0.001 cm, what percentage of the bearings can be used on a machine specifying a size of 0.399 =0.0015 cm? What is the upper bound of the size range that has a lower bound of 0.398 cm and includes 80% of the bearings? 3. The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean 3.2 minutes and a standard deviation of 1.6 minutes. If a random sample of 64 customers is observed, find the probability that their mean time at the teller's window is: a. at most 2.7 minutes; b. more than 3.5 minutes; c. at least 3.5 minutes but less than 3.4 minutes.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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