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(d) What is the probability that between 32 and 52 of the children prefer whole-grain snacks? Draw the diagram for this probability.

(d) What is the probability that between 32 and 52 of the children prefer whole-grain snacks? Draw the diagram for this probability.

A First Course in Probability (10th Edition)
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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Question 4: Suppose that 56% of children prefer whole-grain snacks to non-whole-grain snacks. A random sample of 80 children is taken. (a) Verify that we can use the Normal distribution to compute probabilities about the sample proportions of children who prefer whole-grain snacks by checking the assumptions: 1. Independence Assumption, checked by the Randomization Condition: 2. Sample Size Assumption, checked by the Success/Failure Condition: (b) What are the centre and spread of the normal distribution of p? E(P) = SD(f) %D (c) What is the probability that less than 40 of the children prefer whole-grain snacks? Draw the diagram for this probability. (d) What is the probability that between 32 and 52 of the children prefer whole-grain snacks? Draw the diagram for this probability.
Transcribed Image Text:Question 4: Suppose that 56% of children prefer whole-grain snacks to non-whole-grain snacks. A random sample of 80 children is taken. (a) Verify that we can use the Normal distribution to compute probabilities about the sample proportions of children who prefer whole-grain snacks by checking the assumptions: 1. Independence Assumption, checked by the Randomization Condition: 2. Sample Size Assumption, checked by the Success/Failure Condition: (b) What are the centre and spread of the normal distribution of p? E(P) = SD(f) %D (c) What is the probability that less than 40 of the children prefer whole-grain snacks? Draw the diagram for this probability. (d) What is the probability that between 32 and 52 of the children prefer whole-grain snacks? Draw the diagram for this probability.
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