The distance travelled to work by the employees of PUP may be modelled by a normal distribution with a mean of 7.5 km and a standard deviation of 2.5 km. Find the probability that the distance travelled to work by randomly selected employee is: a. At least 4 km b. At most 11 km c. How many employees of PUP travel 10 km to 12 km to go to work?

The distance travelled to work by the employees of PUP may be modelled by a normal distribution with a mean of 7.5 km and a standard deviation of 2.5 km. Find the probability that the distance travelled to work by randomly selected employee is: a. At least 4 km b. At most 11 km c. How many employees of PUP travel 10 km to 12 km to go to work?

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. At least 4 km

b. At most 11 km

c. How many employees of PUP travel 10 km to 12 km to go to work?

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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