The Higher Education Research Institute at UCLA collected data from 302,458 incoming freshmen from 315 four-year college and universities in the United States. 74.5% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppos- that you randomly pick eleven freshmen from the survey. You are interested in the number that believe that same-sex couples should have the right to legal marital status. B v 315 0.745 Find the probability that exactly 4 of thhe 11 freshmen sampled believe that same-sex couples shou have the right to legal marital status. 0.007127 Find the probability that at least 9 of the 11 freshmen sampled believe that same-sex couples should have the right to legal marital status. 0.4397 Find the mean of the distribution. 225331.21 Find the standard deviation of the distribution. 239.70703

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The Higher Education Research Institute at UCLA collected data from 302,458 incoming freshmen
from 315 four-year college and universities in the United States. 74.5% of those students replied
that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose
that you randomly pick eleven freshmen from the survey. You are interested in the number that
believe that same-sex couples should have the right to legal marital status.
315 X
0.745 /
Find the probability that exactly 4 of thre 11 freshmen sampled believe that same-sex couples should
have the right to legal marital status.
0.007127
Find the probability that at least 9 of the 11 freshmen sampled believe that same-sex couples
should have the right to legal marital status.
0.4397
Find the mean of the distribution.
225331.21
Find the standard deviation of the distribution.
239.70703
Transcribed Image Text:The Higher Education Research Institute at UCLA collected data from 302,458 incoming freshmen from 315 four-year college and universities in the United States. 74.5% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eleven freshmen from the survey. You are interested in the number that believe that same-sex couples should have the right to legal marital status. 315 X 0.745 / Find the probability that exactly 4 of thre 11 freshmen sampled believe that same-sex couples should have the right to legal marital status. 0.007127 Find the probability that at least 9 of the 11 freshmen sampled believe that same-sex couples should have the right to legal marital status. 0.4397 Find the mean of the distribution. 225331.21 Find the standard deviation of the distribution. 239.70703
Expert Solution
Step 1

Solution:

Let X be the random variable that the same sex couples should have the right to legal marital status.

The probability of random variable X is p= 0.745

n= 11 sample size 

The random variable X has binomial distribution with parameters n= 11 and p= 0.745

 

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