Question

In a report on high school graduation, it was stated that 85% of high school students graduate. Suppose 3 high school students are randomly selected from different schools. a.)What is the probability that all graduate? b.) What is the probability that exactly one of the three graduates? c.) What is the probability that none graduate?

Please provide detailed explanation and what method of probability is used?

Answer #1

Question
1
[12]
During the recent graduation season in
Namibia a total of 8000 students graduated from three different
universities UNAM, NUST and IUM. Of the 8000 graduates, 4000
students graduated from UNAM, 3000 students graduated from NUST,
while the rest of the students graduated from IUM. A total of 85
out of every 100 students from UNAM graduated from their Business
School, while at NUST, 65 out of every 100 students graduated from
their Business...

According to the High School Athletics Participation Survey, 55%
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the number who participate in athletic programs is recorded. Round
probabilities to 4 decimal places.
Explain why this is a binomial experiment.
Find and interpret the probability that exactly 7 high school
students participate in athletic programs.
Find and interpret the probability that fewer than 7 high
school students participate in athletic...

Suppose that about 85% of graduating students attend their
graduation. A group of 22 graduating students is randomly
chosen.
In words, define the random variable X.
List the values that X may take on.
Give the distribution of X. X ~ _____(_____,_____)
How many are expected to attend their graduation?
Find the probability that 17 or 18 attend (Practice with
calculator).
Find the probability that at most 15 will attend (practice with
calculator).
Based on numerical values, would you be...

the following percentages of students enrolling in
college in the fall immediately following high school completion
was 69.2 percent in 2015 (source national center for education
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after graduation and asked if they are enrolled in college for
fall. a. explain why this scenario is a binomial random variable
setting. b. approximate the probability that exactly 346 graduates
will be enrolled in college. c. determine the mean and the standard
deviation...

Suppose that, for a randomly selected high school student who
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650 is 0.3. A random sample of n = 9 such students was selected.
What is the probability that none of the students scored over
650?

According to the High School Athletics Participation Survey,
approximately 55% of students enrolled in high schools participate
in athletic programs. You are performing a study of high school
students and would like at least 11 students in the study to be
participating in athletics. (a) How many high school students do
you expect to have to randomly select? (b) How many high school
students do you have to select to have a 99% probability that the
sample contains at least...

Thirty percent of students graduate from high school before they
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a. more than 10 of them graduated before they were 18 years
old?
b. at most 4 of them graduated before they were 18?
c. fewer than 7 of them graduated after they turned 18?

14.ED.A:
For a study of the average duration of time to graduation from
college, 100 students are randomly selected. They are found to have
a mean time to graduation of 4.6 years and a standard deviation of
2 years.
(a) What is the sampling distribution?
(b) Check assumptions and conditions.
(c) What is the probability of a single student taking five
years or more to graduate?
(d) What is the probability that the average time to graduation
of a sample...

A survey of 800 randomly selected high school students
determined that 743 play organized sports.
(a) What is the probability that a randomly selected high
school student plays organized sports?(Round to the nearest
thousandth as needed.)
(b) Interpret this probability.
(b) Choose the correct answer below.
(Type a whole number.)
A.If 1,000 high school students were sampled, it would be
expected that exactly______of them play organized sports.
B.If 1,000 high school students were sampled, it would be
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At Banner high school, 20% of students drive a car. Nine
students are randomly selected from there and asked whether they
drive a car.
1. What is the probability that at least one of the nine
students drive a car?
2. What is the probability that at least 2 of the 9 students
drive a car?

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