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Example 8 In a particular university, the probability that any one student is male is 0.65. Four students are selected at random from this university as a sample. a. Create a probability distribution table showing the sampling distribution of the sample proportion of female students in the sample. (4dp) b. Find Pr(P<0.65|P > 0). (4dp)

Example 8 In a particular university, the probability that any one student is male is 0.65. Four students are selected at random from this university as a sample. a. Create a probability distribution table showing the sampling distribution of the sample proportion of female students in the sample. (4dp) b. Find Pr(P<0.65|P > 0). (4dp)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Example 8 In a particular university, the probability that any one student is male is 0.65. Four students are selected at random from this university as a sample. a. Create a probability distribution table showing the sampling distribution of the sample proportion of female students in the sample. (4dp) b. Find Pr(P <0.65| P>0). (4dp) Example 9 A study is done in Sydney to estimate the proportion of people living there who have travelled outside of Australia. Previous research has found that this proportion is equal to roughly 28%. a. Find the minimum sample size needed for the study in order to obtain a minimum of 5% margin of error in an approximate 95% confidence interval for this proportion. (use k=1.96)
Transcribed Image Text:Example 8 In a particular university, the probability that any one student is male is 0.65. Four students are selected at random from this university as a sample. a. Create a probability distribution table showing the sampling distribution of the sample proportion of female students in the sample. (4dp) b. Find Pr(P <0.65| P>0). (4dp) Example 9 A study is done in Sydney to estimate the proportion of people living there who have travelled outside of Australia. Previous research has found that this proportion is equal to roughly 28%. a. Find the minimum sample size needed for the study in order to obtain a minimum of 5% margin of error in an approximate 95% confidence interval for this proportion. (use k=1.96)
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