Question
In: Statistics and Probability
Let us suppose that heights of Richmond students are normally distributed with a mean of 68...
Let us suppose that heights of Richmond students are normally distributed with a mean of 68 inches and a standard deviation of 2.5 inches.
a. What will be the height of a student who is in the top 1%? Is this the minimum or the maximum height?
b. What is the height range of students who are between the third and fourth quintile?
c. What proportion of students are between 60 and 65 inches in height?
d. What will be the height of a student who is in the first decile? Is this the minimum or the maximum height? e. How many students are between 65.5 and 70.5 inches I height?
Solutions
orchestra answered 2 years agoRelated Solutions
Suppose the heights of students are normally distributed with mean 172 and variance 9. a) Randomly...
Suppose the heights of students are normally distributed with
mean 172 and variance 9.
a) Randomly pick two students. What's the probability that the
first student is taller than the second student?
b) Randomly pick two students. What's the probability their
average height is larger than 175?
) Suppose College male students’ heights are normally distributed with a mean of µ = 69.5...
) Suppose College male students’ heights are
normally distributed with a mean of µ = 69.5 inches and a standard
deviation of σ =2.8 inches.
What is the probability that randomly selected male is at least
70.5 inches tall?
If one male student is randomly selected, find the probability
that his height is less than 65.2 inches or greater than 71.2
inches.
How tall is Shivam if only 30.5% of students are taller than
him
There are 30.5% of all...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard...
Suppose the heights of 18-year-old men are approximately
normally distributed, with mean 68 inches and standard deviation 5
inches. (a) What is the probability that an 18-year-old man
selected at random is between 67 and 69 inches tall? (Round your
answer to four decimal places.) (b) If a random sample of twelve
18-year-old men is selected, what is the probability that the mean
height x is between 67 and 69 inches? (Round your answer to four
decimal places.) (c) Compare...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard...
Suppose the heights of 18-year-old men are approximately
normally distributed, with mean 68 inches and standard
deviation 3inches.
(a) What is the probability that an 18-year-old man selected at
random is between 67 and 69 inches tall? (Round your answer to four
decimal places.)
(b) If a random sample of eleven 18-year-old men is selected, what
is the probability that the mean height x is between 67
and 69 inches? (Round your answer to four decimal places.)
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard...
Suppose the heights of 18-year-old men are approximately
normally distributed, with mean 68 inches and standard
deviation 2 inches.
(a) What is the probability that an 18-year-old man selected at
random is between 67 and 69 inches tall? (Round your answer to four
decimal places.)
(b) If a random sample of twenty-nine 18-year-old men is selected,
what is the probability that the mean height x is between
67 and 69 inches? (Round your answer to four decimal places.)
(c) Compare...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard...
Suppose the heights of 18-year-old men are approximately
normally distributed, with mean 68 inches and standard
deviation 4 inches.
(a) What is the probability that an 18-year-old man selected at
random is between 67 and 69 inches tall? (Round your answer to four
decimal places.)
(b) If a random sample of twenty-six 18-year-old men is selected,
what is the probability that the mean height x is between
67 and 69 inches? (Round your answer to four decimal places.)
(c) Compare...
The heights of female students in a university are approx normally distributed with a mean of...
The heights of female students in a university are approx
normally distributed with a mean of 162 cm and a standard dev of 8
cm. Explain your answers.
a) Approx 68% of all female students in a university will have
heights between ____ cm and ____ cm.
b) Heights greater than ____ cm would be considered
peculiar.
The heights of 1000 students are approximately normally distributed with a mean of 174.5centimeters and a...
The heights of 1000 students are approximately normally
distributed with a mean of 174.5centimeters and a standard
deviation of 6.9 centimeters. Suppose 200 random samples ofsize 25
are drawn from this population and the means recorded to the
nearest tenth of acentimeter. Determine
(a) the mean and standard deviation of the sampling distribution
of ̄X;
(b) the number of sample means that fall between 171 and 177 cm
.
Let X be a random variable following a continuous uniform
distribution...
The heights of 2000 students are normally distributed with a mean of 165.5 centimeters and a...
The heights of 2000 students are normally distributed with a
mean of 165.5 centimeters and a standard deviation of 7.1
centimeters. Assuming that the heights are recorded to the nearest
half-centimeter, how many of these students would be expected to
have heights:
(a) less than 151.0 centimeters?
(b) Between 163.5 and 173.0 centimeters inclusive?
(c) Equal to 168.0 centimeters?
(d) Greater than or equal to 182.0 centimeters?
The heights of 1000 students are normally distributed with a mean of 177.5 centimeters and a...
The heights of 1000 students are normally distributed with a
mean of 177.5 centimeters and a standard deviation of 6.7
centimeters. Assuming that the heights are recorded to the nearest
half-centimeter, how many of these students would be expected to
have heights
(a) less than 167.0 centimeters?
(b) between 173.5 and 185.0 centimeters inclusive?
(c) equal to 180.0 centimeters?
(d) greater than or equal to 191.0 centimeters?
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