An apple juice producer buys all his apples from a conglomerate of apple growers in one northwest state. The amount of juice squeezed from each of these apples is approximately normally distributed with a mean of 2.10 ounces and a standard deviation of 0.16 ounces. a.What is the probability that a randomly selected apple will contain less than 1.90 ounces? b. What is the probability that a randomly selected apple will contain between 1.90 and 2.35 ounces? c. What is the probability that a randomly selected apple will contain more than 2.35 ounces? d. 78% of the apples will contain at least how many ounces of juice?

An apple juice producer buys all his apples from a conglomerate of apple growers in one northwest state. The amount of juice squeezed from each of these apples is approximately normally distributed with a mean of 2.10 ounces and a standard deviation of 0.16 ounces. a.What is the probability that a randomly selected apple will contain less than 1.90 ounces? b. What is the probability that a randomly selected apple will contain between 1.90 and 2.35 ounces? c. What is the probability that a randomly selected apple will contain more than 2.35 ounces? d. 78% of the apples will contain at least how many ounces of juice?

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

An apple juice producer buys all his apples from a conglomerate of apple growers in one northwest state. The amount of juice squeezed from each of these apples is approximately normally distributed with a mean of 2.10 ounces and a standard deviation of 0.16 ounces. a.What is the probability that a randomly selected apple will contain less than 1.90 ounces? b. What is the probability that a randomly selected apple will contain between 1.90 and 2.35 ounces? c. What is the probability that a randomly selected apple will contain more than 2.35 ounces? d. 78% of the apples will contain at least how many ounces of juice?

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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