1. Which of the following probability distributions can be used to describe the distribution for a continuous random variable? (A) Binomial distribution (C) Poisson distribution (B) Normal distribution (D) Hypergeometric distribution 2. If the random variable X is normally distributed with a mean equal to .45 and a standard deviation equal to .40, then P(X > .75) is (A) .7500 (B).7734 (C) .2266 (D) .2734 3. If x is normally distributed random variable with a mean of 8.20 and variance of 4.41, and that P(x > b) = .08, then the value of b is (A) 11.914 (B) 3.409 (C) 3.448 (D) 3.452. 4. Let X denote a normal random variable with mean 30 and standard deviation 5. What x-value is the 67th percentile of this distribution?? (A) 32.2 (B) 29 (C) 30 (D) 28 5. Twenty percent of American men over 30 have high blood pressure. To run an experiment, a researcher needs to identify at least 15 men with high blood pressure. If the researcher examines 100 men over 30, what is the approximate probability he or she finds enough men with high blood pressure to run the experiment? (A) 0.9454 (B) 0.98126 (C) 0.1938. (D) 0.9162. 6. The distribution of the time that a battery pack for a laptop computer can function before requiring recharging is normal with a mean of 6 hours and standard deviation of 1.8 hours. A random sample of 25 laptops with this type of battery pack is selected and tested. What is the probability that the mean time until recharging is necessary is at least 7 hours? (A) 0.0073 (B) 0.9883 (C) 0.0027 (D) 0.025 7. Consider a large population with a mean of 150 and a standard deviation of 27. A random sample of size 36 is taken from this population. The standard error of the sampling distribution of sample mean; SE(X) = (0, Var(X)) is equal to: (A) 4.17 (B) 4.50 (C) 5.20 (D) 5.56 Page 1 of 2 8. Which of the sample sizes below will produce a sampling distribution of the mean that is approxi- mately normal? (A) 20 (B) 25 (C) 30 (D) 5 9. If all possible samples of size n are drawn from a large population with a mean of 20 and a standard deviation of 5, then the standard error of the sample mean equals 1.0 only for samples of size (A) 15 (B) 20 (C) 25 (D) 30 10. The dean of admissions in a large university has determined that the scores of the freshman class in a mathematics test are normally distributed with a mean of 82 and a standard deviation of 8. Based on this information, what is the mean of the sampling distribution of the sample mean X if a sample of 64 students is selected at random from the entire freshman class? (A) Between 74 and 90 (B) Between 78 and 86 (C) 64 (D) 82
1. Which of the following probability distributions can be used to describe the distribution for a continuous random variable? (A) Binomial distribution (C) Poisson distribution (B) Normal distribution (D) Hypergeometric distribution 2. If the random variable X is normally distributed with a mean equal to .45 and a standard deviation equal to .40, then P(X > .75) is (A) .7500 (B).7734 (C) .2266 (D) .2734 3. If x is normally distributed random variable with a mean of 8.20 and variance of 4.41, and that P(x > b) = .08, then the value of b is (A) 11.914 (B) 3.409 (C) 3.448 (D) 3.452. 4. Let X denote a normal random variable with mean 30 and standard deviation 5. What x-value is the 67th percentile of this distribution?? (A) 32.2 (B) 29 (C) 30 (D) 28 5. Twenty percent of American men over 30 have high blood pressure. To run an experiment, a researcher needs to identify at least 15 men with high blood pressure. If the researcher examines 100 men over 30, what is the approximate probability he or she finds enough men with high blood pressure to run the experiment? (A) 0.9454 (B) 0.98126 (C) 0.1938. (D) 0.9162. 6. The distribution of the time that a battery pack for a laptop computer can function before requiring recharging is normal with a mean of 6 hours and standard deviation of 1.8 hours. A random sample of 25 laptops with this type of battery pack is selected and tested. What is the probability that the mean time until recharging is necessary is at least 7 hours? (A) 0.0073 (B) 0.9883 (C) 0.0027 (D) 0.025 7. Consider a large population with a mean of 150 and a standard deviation of 27. A random sample of size 36 is taken from this population. The standard error of the sampling distribution of sample mean; SE(X) = (0, Var(X)) is equal to: (A) 4.17 (B) 4.50 (C) 5.20 (D) 5.56 Page 1 of 2 8. Which of the sample sizes below will produce a sampling distribution of the mean that is approxi- mately normal? (A) 20 (B) 25 (C) 30 (D) 5 9. If all possible samples of size n are drawn from a large population with a mean of 20 and a standard deviation of 5, then the standard error of the sample mean equals 1.0 only for samples of size (A) 15 (B) 20 (C) 25 (D) 30 10. The dean of admissions in a large university has determined that the scores of the freshman class in a mathematics test are normally distributed with a mean of 82 and a standard deviation of 8. Based on this information, what is the mean of the sampling distribution of the sample mean X if a sample of 64 students is selected at random from the entire freshman class? (A) Between 74 and 90 (B) Between 78 and 86 (C) 64 (D) 82
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:1. Which of the following probability distributions can be used to describe the distribution for a
continuous random variable?
(A) Binomial distribution
(C) Poisson distribution
(B) Normal distribution
(D) Hypergeometric distribution
2. If the random variable X is normally distributed with a mean equal to .45 and a standard deviation
equal to .40, then P(X > .75) is
(A) .7500
(B).7734
(C) .2266
(D) .2734
3. If x is normally distributed random variable with a mean of 8.20 and variance of 4.41, and that
P(x > b) = .08, then the value of b is
(A) 11.914
(B) 3.409
(C) 3.448
(D) 3.452.
4. Let X denote a normal random variable with mean 30 and standard deviation 5. What x-value is
the 67th percentile of this distribution??
(A) 32.2
(B) 29
(C) 30
(D) 28
5. Twenty percent of American men over 30 have high blood pressure. To run an experiment, a
researcher needs to identify at least 15 men with high blood pressure. If the researcher examines
100 men over 30, what is the approximate probability he or she finds enough men with high blood
pressure to run the experiment?
(A) 0.9454
(B) 0.98126
(C) 0.1938.
(D) 0.9162.
6. The distribution of the time that a battery pack for a laptop computer can function before requiring
recharging is normal with a mean of 6 hours and standard deviation of 1.8 hours. A random sample
of 25 laptops with this type of battery pack is selected and tested. What is the probability that the
mean time until recharging is necessary is at least 7 hours?
(A) 0.0073
(B) 0.9883
(C) 0.0027
(D) 0.025
7. Consider a large population with a mean of 150 and a standard deviation of 27. A random sample
of size 36 is taken from this population. The standard error of the sampling distribution of sample
mean; SE(X) = (0,
Var(X)) is equal to:
(A) 4.17
(B) 4.50
(C) 5.20
(D) 5.56
Page 1 of 2
8. Which of the sample sizes below will produce a sampling distribution of the mean that is approxi-
mately normal?
(A) 20
(B) 25
(C) 30
(D) 5
9. If all possible samples of size n are drawn from a large population with a mean of 20 and a standard
deviation of 5, then the standard error of the sample mean equals 1.0 only for samples of size
(A) 15
(B) 20
(C) 25
(D) 30
10. The dean of admissions in a large university has determined that the scores of the freshman class
in a mathematics test are normally distributed with a mean of 82 and a standard deviation of 8.
Based on this information, what is the mean of the sampling distribution of the sample mean X if
a sample of 64 students is selected at random from the entire freshman class?
(A) Between 74 and 90
(B) Between 78 and 86
(C) 64
(D) 82
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