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Suppose that 60% of all students currently enrolled at all California Community College campuses combined are female. Researchers want to do a survey, and randomly select 1000 students who are currently enrolled at CSU campuses. Let P represent the proportion of students in the sample who are female.

Suppose that 60% of all students currently enrolled at all California Community College campuses combined are female. Researchers want to do a survey, and randomly select 1000 students who are currently enrolled at CSU campuses. Let P represent the proportion of students in the sample who are female.

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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Suppose that 60% of all students currently enrolled at all California Community College campuses combined are female. Researchers want to do a survey, and randomly select 1000 students who are currently enrolled at CSU campuses. Let p represent the proportion of students in the sample who are female. a) What is the expected value of p ? a) b) What is the standard deviation of the random variable p ? b) c) Find the probability that less than 58.5% of the students in the sample are female. Use the distribution of P. d) Find the probability that more than 65% in the sample are female. Use the distribution of p. d) e) Find the probability that between 56% and 64% in the sample are female. Use the distribution of p. f) Use binomcdf( on your calculator to find the probability that between 56% and 64% are female. f)
Transcribed Image Text:Suppose that 60% of all students currently enrolled at all California Community College campuses combined are female. Researchers want to do a survey, and randomly select 1000 students who are currently enrolled at CSU campuses. Let p represent the proportion of students in the sample who are female. a) What is the expected value of p ? a) b) What is the standard deviation of the random variable p ? b) c) Find the probability that less than 58.5% of the students in the sample are female. Use the distribution of P. d) Find the probability that more than 65% in the sample are female. Use the distribution of p. d) e) Find the probability that between 56% and 64% in the sample are female. Use the distribution of p. f) Use binomcdf( on your calculator to find the probability that between 56% and 64% are female. f)
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