Question

Use the following information to answer the next eight exercises: 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 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.

$\mathrm{X}~—(—,—)$

Short answer

The binomial distribution is$\mathrm{X}~\mathrm{B}(8,0.713)$.

Step-by-step solution

Given information

Full time freshmen from $270$four-year colleges.

Number of students replied is $71.3\%$.

Randomly selected full time freshmen in survey is$8$.

Explanation 

In binomial distribution $\mathrm{X}$variables have,

Number of trials $=8$

Possibility of success$=0.713$

So,

$\mathrm{X}~\mathrm{B}(\mathrm{T},\mathrm{P})$

$\mathrm{X}~\mathrm{B}(8,0.713)$