According to the Regional Bar Association, approximately 67% of the people who take the bar exam to practice law in the region pass the exam. Find the approximate probability that at least 68% randomly sampled 500 people taking the bar exam will pass. To answer the question, go through the following steps. (a) What is the symbol for 67%? (b) Find mean ug and standard deviation os of the distribution of sample proportions. (c) Are the sample size conditions for distribution to be normal met? (d) Find probability that sample proportion is more than 68%. 0.3172
According to the Regional Bar Association, approximately 67% of the people who take the bar exam to practice law in the region pass the exam. Find the approximate probability that at least 68% randomly sampled 500 people taking the bar exam will pass. To answer the question, go through the following steps. (a) What is the symbol for 67%? (b) Find mean ug and standard deviation os of the distribution of sample proportions. (c) Are the sample size conditions for distribution to be normal met? (d) Find probability that sample proportion is more than 68%. 0.3172
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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6. According to the Regional Bar Association, approximately 67% of the people who take the bar
exam to practice law in the region pass the exam. Find the approximate probability that at least
68% randomly sampled 500 people taking the bar exam will pass. To answer the question, go
through the following steps.
(a) What is the symbol for 67%?
(b) Find mean ug and standard deviation os of the distribution of sample proportions.
(c) Are the sample size conditions for distribution to be normal met?
(d) Find probability that sample proportion is more than 68%.
0.3172
7. Suppose that a recent poll of American households about pet ownership found that for
households with one pet, 39% owned a dog. Suppose a random sample of 12 households with
only one pet is selected. Use Binomial distribution to find the probability that 3 households will
have a dog? Show work.
0.1526
8. Suppose that a recent poll of American households about pet ownership found that for
households with one pet, 39% owned a dog. Suppose a random sample of 120 households with
only one pet is selected.
(a) Find the usual values interval for households with a pet dog. (41.5, 52.1)
(b) Determine whether it is unusual to find 40 household with a pet dog in a random,
independent sample of 120 households.
9. Two balls are drawn successively without replacement from a bucket containing four red and
three blue balls. Assume that all balls are equally likely to be chosen.
a) Find the probability that both balls are red.
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6. According to the Regional Bar Association, approximately 67% of the people who take the bar
exam to practice law in the region pass the exam. Find the approximate probability that at least
68% randomly sampled 500 people taking the bar exam will pass. To answer the question, go
through the following steps.
(a) What is the symbol for 67%?
(b) Find mean ug and standard deviation os of the distribution of sample proportions.
(c) Are the sample size conditions for distribution to be normal met?
(d) Find probability that sample proportion is more than 68%.
0.3172
7. Suppose that a recent poll of American households about pet ownership found that for
households with one pet, 39% owned a dog. Suppose a random sample of 12 households with
only one pet is selected. Use Binomial distribution to find the probability that 3 households will
have a dog? Show work.
0.1526
8. Suppose that a recent poll of American households about pet ownership found that for
households with one pet, 39% owned a dog. Suppose a random sample of 120 households with
only one pet is selected.
(a) Find the usual values interval for households with a pet dog. (41.5, 52.1)
(b) Determine whether it is unusual to find 40 household with a pet dog in a random,
independent sample of 120 households.
9. Two balls are drawn successively without replacement from a bucket containing four red and
three blue balls. Assume that all balls are equally likely to be chosen.
a) Find the probability that both balls are red.
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72°F
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