3. a. Point out some special features of normal distribution. b. The average daily sales of 600 branch offices was Rs. 150 thousand and the standard deviation Rs. 15 thousand. Assuming the distribution to be normal, indicate how many branches have sales between Rs. 145 thousand and 170 thousand? [4] c. If 18% of the bolts produced by a machine are defective, determine the probability that out of 6 bolts at most 3 bolts will be defective. [4]

3. a. Point out some special features of normal distribution. b. The average daily sales of 600 branch offices was Rs. 150 thousand and the standard deviation Rs. 15 thousand. Assuming the distribution to be normal, indicate how many branches have sales between Rs. 145 thousand and 170 thousand? [4] c. If 18% of the bolts produced by a machine are defective, determine the probability that out of 6 bolts at most 3 bolts will be defective. [4]

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

a. Point out some special features of normal distribution. [2]
b. The average daily sales of 600 branch offices was Rs. 150 thousand and the standard deviation
Rs. 15 thousand. Assuming the distribution to be normal, indicate how many branches have sales
between Rs. 145 thousand and 170 thousand? [4]
c. If 18% of the bolts produced by a machine are defective, determine the probability that out
of 6 bolts at most 3 bolts will be defective. [4]

3. a. Point out some special features of normal distribution.
b. The average daily sales of 600 branch offices was Rs. 150 thousand and the standard deviation
Rs. 15 thousand. Assuming the distribution to be normal, indicate how many branches have sales
between Rs. 145 thousand and 170 thousand? [4]
c. If 18% of the bolts produced by a machine are defective, determine the probability that out
of 6 bolts at most 3 bolts will be defective. [4]
[2]

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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