Question

Suppose that 56% of all college students are female and that we randomly select 15 college students. a) What is the probability that exactly 8 of the students will be female? b) What is the probability that 10 or more of the students will be female? c) What is the mean number μ of females in such randomly selected groups of 15 students? d) What is the standard deviation σ of the number of females in such randomly selected groups of 15 students?

Answer #1

a)

c)

d)

Of students who graduate Grossmont College, 53% are female. At
Grossmont College, there are 49% males and the rest are females.
Also, 71% of the students at Grossmont College graduate.
1. What is the probability that a randomly selected student is
female and graduates?
2. What is the probability that a randomly selected student is
female?
3. What is the probability that a randomly selected student
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Problem 7: The scores of students on the ACT
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a. What is the probability that the mean score for the
100 students is between 17
and 19 (including 17 and 19)?
b. A student is eligible for an honor program if his/her
score is...

the
heights of all female college basketball players produce a
distribution that is approximately normal with a mean of 68.22 and
a standard deviation of 2.05
what is the probability that the height of a randomly selected
female college basketball player is more than 65.8 inches
what is the probability that the height of a randomly selectee
female college basektball player is less than 67.2 inches
what is the probability that the height of a randomly selected
female college basketball...

Another researcher found that the hours of sleep for female
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standard deviation of 25.81 minutes.
(1 mark) What is the probability that a randomly selected female
student at the college sleep less than 8.12 hours?
(4dp) Answer
What is the probability that a randomly selected
female student at the college sleep more than 7.98 hours?
(4dp) Answer
What is the probability that a randomly selected
female student at the college...

75% of students at a College receive financial aid. We surveyed
110 randomly selected students.
a) Find the mean and standard deviation for the number of
students in the survey that receive financial aid using the
Binomial model.
b) Use binomcdf to determine the probability that at least 81 of
the 110 students in the survey receive financial aid.
c) Approximate the Binomial with the Normal by using normalcdf
to estimate the same probability as in Question b.

Suppose that 20% of all college students smoke cigarettes. A
sample of 12 is selected randomly. What is the probability that
less than 8 students smoke? Round your answer to four decimal
places.

Another researcher found that the hours of sleep for female
students is normally distributed with a mean of 7.66 hours and a
standard deviation of 11.65 minutes.
(1 mark) What is the probability that a randomly selected female
student at the college sleep less than 7.83 hours?
(4dp) Answer
What is the probability that a randomly selected
female student at the college sleep more than 7.63 hours?
(4dp) Answer
What is the probability that a randomly selected
female student at the college...

16. At a large university, a mathematics placement is
administered to all students. Samples of 30 female and 36 male
students are randomly selected from this year's student body and
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with standard deviation 8.80, and the mean of the males' scores is
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Suppose 5% of college students don’t use social media. We
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Suppose it is known that 40% of all college students work full
time. Define a success as "a student works full time". (a) If we
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places) (b) If we randomly select 12 college students, what is the
probability that at least 3 of the 12 work full time? (show 5
decimal places) (c) In questions (a) and (b)...

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