Assume that 20.5% of all cars in South Africa are silver in colour. Let bp be the sample proportion of silver cars in a random sample of 1000 cars. (a) Find the mean and standard deviation of bp: (6) (b) What is the probability that the sample proportion bp is more than 25%? (6) (c) What is the probability that the sample proportion bp is within 1% of the true population pro- portion?
Assume that 20.5% of all cars in South Africa are silver in colour. Let bp be the sample proportion of silver cars in a random sample of 1000 cars. (a) Find the mean and standard deviation of bp: (6) (b) What is the probability that the sample proportion bp is more than 25%? (6) (c) What is the probability that the sample proportion bp is within 1% of the true population pro- portion?
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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Assume that 20.5% of all cars in South Africa are silver in colour. Let bp be the sample proportion
of silver cars in a random sample of 1000 cars.
(a) Find the mean and standard deviation of bp: (6)
(b) What is the probability that the sample proportion bp is more than 25%? (6)
(c) What is the probability that the sample proportion bp is within 1% of the true population pro-
portion?
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