Answered: The number of chocolate chips in an…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 7PPS

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Question

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean

1252

and standard deviation

129

chips.

(a) What is the probability that a randomly selected bag contains between

1000

and

1400

chocolate chips?

(b) What is the probability that a randomly selected bag contains fewer than

1100

chocolate chips?

1225

chocolate chips?

(d) What is the percentile rank of a bag that contains

1475

chocolate chips?

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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