Question

22. Find the standard deviation. (Enter an exact number as an integer, fraction, or decimal.)
__________

x	P(x)	x*P(x)	(x − μ)2P(x)
2	0.1	2(0.1) = 0.2	(2 − 5.4)2(0.1) = 1.156
4	0.3	4(0.3) = 1.2	(4 − 5.4)2(0.3) = 0.588
6	0.4	6(0.4) = 2.4	(6 − 5.4)2(0.4) = 0.144
8	0.2	8(0.2) = 1.6	(8 − 5.4)2(0.2) = 1.352

23. 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. 71.2% 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 six first-time, full-time freshmen from the survey. You are interested in the number that believes that same-sex couples should have the right to legal marital status.

Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.)

X~(H,G,P,B) (_____,_____)

24. 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. 71.7% 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 eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same-sex couples should have the right to legal marital status.

Construct the probability distribution function (PDF). (Round your probabilities to five decimal places.)

x	P(x)
0
1
2
3
4
5
6
7
8

25. 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. 71.2% 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 ten first-time, full-time freshmen from the survey. You are interested in the number that believes that same-sex couples should have the right to legal marital status.

What is the standard deviation (σ)? (Round your answer to four decimal places.)
σ = ____________

26. 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. 71.9% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly select freshman from the study until you find one who replies "yes." You are interested in the number of freshmen you must ask.

Give the probability distribution of X. (Enter an exact number as an integer, fraction, or decimal.)
X ~ (B G P H) (________)

27. 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. Suppose that you randomly select freshman from the study until you find one who replies "yes." You are interested in the number of freshmen you must ask.

Construct the probability distribution function (PDF). Stop at

x = 6.

(Round your answers to four decimal places.)

x	P(x)
1
2
3
4
5
6

28. 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. Suppose that you randomly select freshman from the study until you find one who replies "yes." You are interested in the number of freshmen you must ask.

What is the probability that you will need to ask fewer than three freshmen? (Round your answer to four decimal places.)

________

Answer 1

22.

23.

Here, X is number that believes that same sex couples should have right to legal marital status

And we are given total number of freshmen from 270 universities and colleges i. e n=6

And probability of yes replies to random variable X I. e. p=71.2%=0.712

Therefore X follows Binomial distribution with parameters n=6 and p=0.712

i.e X~B(6, 0.712)

24.

25.