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Suppose that 30% of cars in a certain town were purchased from Dealership A. Suppose that a random sample of 80 cars in this town is taken. (a) Verify that we can use the Normal distribution to compute probabilities about the sample proportions of cars in this town that were purchases from Dealership A 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(P) = (c) What is the probability that more than 26 of the cars sampled were purchased at Dealership A. Draw the diagram for this probability.

Suppose that 30% of cars in a certain town were purchased from Dealership A. Suppose that a random sample of 80 cars in this town is taken. (a) Verify that we can use the Normal distribution to compute probabilities about the sample proportions of cars in this town that were purchases from Dealership A 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(P) = (c) What is the probability that more than 26 of the cars sampled were purchased at Dealership A. 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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Suppose that 30% of cars in a certain town were purchased from Dealership A. Suppose that a random sample of 80 cars in this town is taken. (a) Verify that we can use the Normal distribution to compute probabilities about the sample proportions of cars in this town that were purchases from Dealership A 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(P) = (c) What is the probability that more than 26 of the cars sampled were purchased at Dealership A. Draw the diagram for this probability.
Transcribed Image Text:Suppose that 30% of cars in a certain town were purchased from Dealership A. Suppose that a random sample of 80 cars in this town is taken. (a) Verify that we can use the Normal distribution to compute probabilities about the sample proportions of cars in this town that were purchases from Dealership A 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(P) = (c) What is the probability that more than 26 of the cars sampled were purchased at Dealership A. Draw the diagram for this probability.
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