Question

The Higher Education Research Institute at UCLA collected data from 203960 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S.

71.5% 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 8 first-time, full-time freshmen from the survey. You are interested in the number of these 8 that believes that same sex-couples should have the right to legal marital status.

1. Idenitify the parameter n for the binomial experiment.

2. Identify the parameter p for the binomial experiment. Round your answer to 3 decimal places.

3. Find the probability that exactly 1 of the 8 reply that, yes, they believe that same-sex couples should have the right to legal marital status. Round your answer to 4 decimal places.

Answer #1

1) The parameter **n = 8**, is the sample of
students picked from 203960 incoming first time, full time
freshmen.

____________

2) The parameter **p = 0.715**, is the probability
that an incoming first time, full time freshman would say yes, that
they believed that same sex couples should have the right to legal
marital status.

____________

(3) Please note

Binomial Probability = ^{n}C_{x} *
(p)^{x} * (q)^{n-x}, where n = number of trials and
x is the number of successes.

Here n = 8, p = 0.715, q = 1 – p = .0.285

P(X = 1) = ^{8}C_{1} * (0.715)^{1} *
(0.285)^{8-1} = **0.7635**

**______________________________________**

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 pick seven 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
probability that...

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.
What is the probability that...

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. 71.8% 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 seven 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
probability that...

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 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...

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. 71.8% 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. What is the
standard deviation...

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...

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...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 13 minutes ago

asked 15 minutes ago

asked 16 minutes ago

asked 24 minutes ago

asked 32 minutes ago

asked 35 minutes ago

asked 53 minutes ago

asked 54 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago