Answered: Find the area to the right of z = 1.37…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 11PPS

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Question

STATISTICS & PROBABILITY

Direction: Solve the following problems. Round off your answer to two decimal places. Use the percentage form and include the percentage symbol (%)

The length of time needed to do a particular activity is normally distributed with a mean of 2 hours and a standard deviation of 1.25 hours. What is the probability that a randomly selected student will spend 3.5 hours in doing the activity?

The monthly food expenditure of a single person is 3000Php on average with a standard deviation of 300Php. Assuming that the monthly food expenditure is normally distributed, what percentage of these expenditures are between 2400Php and 4000Php?

Find the area to the right of z = 1.37

Select one:

A. 8.53%

B. 43.45%

C. 31.76%

D. 47.88%

Find the area between z = 0.46 and z = 2.56

Select one:

A. 43.45%

B. 31.76%

C. 30.15%

D. 97.98%

Find the area between z = 0 and z = -2.03

Select one:

A. 43.45%

B. 47.88%

C. 8.53%

D. 31.76%

Find the area to the left of z = 2.05

Select one:

A. 97.98%

B. 25.18%

C. 31.76%

D. 43.45%

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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