# 40: The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 72.5% of those students replied that, yes, they believe same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full- time, freshmen from the survey. You are interested in the number that believe that same-
# 40: The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 72.5% of those students replied that, yes, they believe same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full- time, freshmen from the survey. You are interested in the number that believe that same-
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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Transcribed Image Text:# 40: The Higher Education Research Institute at UCLA collected data from 203,967
incoming first-time, full-time freshmen from 270 four-year colleges and universities in the
U.S. 72.5% of those students replied that, yes, they believe same-sex couples should
have the right to legal marital status. Suppose that you randomly pick eight first-time, full-
time, freshmen from the survey. You are interested in the number that believe that same-
sex couples should have the right to legal marital status. (Bold #'s are randomized.)
Construct the probability distribution function (PDF).
Round probabilities to five decimal places. If the calculator gives you an answer in
scientific notation, convert it to standard notation before entering it below.
How to calculate P(x)
X
(x)
BinomialDist
BinomialDist(
Calculations are similar for the rest.
Check
000
000
DD
F7
F4
F5
F8
F9
93
Expert Solution
Step 1
From the given information,
The probability of success, p=72.5%=0.725.
Sample size=8
If X=0:
P(X=0)=0.00003, obtained from the excel function, =BINOM.DIST(0,8,0.725,FALSE).
If X=1:
P(X=1)=0.00069, obtained from the excel function, =BINOM.DIST(1,8,0.725,FALSE).
Similarly the probability values for X=2, 3, 4, 5, 6, 7, 8 are obtained below:
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