ne rando ple A, represer the ber of cherries in a cherry puff, has the following prob- ability distribution: 4 6. 7 P(X = x) | 0.2 0.4 (a) Find the mean u and the variance o? of X. (b) Find the mean µx and the variance o of the mean X for random samples of 36 cherry puffs. (c) Find the probability that the average number of cherries in 36 cherry puffs will be less than 5.5. 0.3 0.1

ne rando ple A, represer the ber of cherries in a cherry puff, has the following prob- ability distribution: 4 6. 7 P(X = x) | 0.2 0.4 (a) Find the mean u and the variance o? of X. (b) Find the mean µx and the variance o of the mean X for random samples of 36 cherry puffs. (c) Find the probability that the average number of cherries in 36 cherry puffs will be less than 5.5. 0.3 0.1

Name: The random variable X, representing the num-ber of cherries in a cher
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Description: The random variable X, representing the num-ber of cherries in a cherry puff, has the following prob-ability distribution:57P(X = r) | 0.2(a) Find the mean µ and the variance o? of X.(b) Find the mean µx and the variance o of the meanX for random sa

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

The random variable X, representing the num-
ber of cherries in a cherry puff, has the following prob-
ability distribution:
5
7
P(X = r) | 0.2
(a) Find the mean µ and the variance o? of X.
(b) Find the mean µx and the variance o of the mean
X for random samples of 36 cherry puffs.
(c) Find the probability that the average number of
cherries in 36 cherry puffs will be less than 5.5.
0.2 0.4
0.3
0.1

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