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Construct the probability distribution function (PDF).

Short Answer

Expert verified
xP(x)
00
10.0009
20.0079
30.0395
40.1227
50.2439
60.3030
70.215
80.0667

Step by step solution

01

Given information

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.

71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status.

02

Explanation

Mean=np=8(0.713)=5.074

The value of X is given by 0,1,2,3,4,5,6,7,8

For each value of X the binomial distribution is given by

P(x=0)=binompdf(8,0.713,0)=0P(x=1)=binompdf(8,0.713,1)=0.0009P(x=2)=binompdf(8,0.713,2)=0.0079P(x=3)=binompdf(8,0.713,3)=0.0395P(x=4)=binompdf(8,0.713,4)=0.1227P(x=5)=binompdf(8,0.713,5)=0.2439P(x=6)=binompdf(8,0.713,6)=0.3030P(x=7)=binompdf(8,0.713,7)=0.2150P(x=8)=binompdf(8,0.713,8)=0.0667

The results are tabulated as follows:

xP(x)
00
10.0009
20.0079
30.0395
40.1227
50.2439
60.3030
70.215
80.0667

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