744 Answered Questions for the topic Probability & Statistics
04/15/15
What is the probability that both balls are red given that the first ball you drew was red?
Assume that each bag contains 5 balls. Bag a contains 3 red and 2 white, while bag b contains 1 red, 3 white, and 1 blue. You randomly select one ball from bag a, note the color, and place the ball...
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04/15/15
What is the probability that at least one inspector will find a defective widget?
Assume that the box contains 2 defective widgets and 10 acceptable widgets. There are 4 inspectors, each of whom selects a widget from the box at random, inspects it, and then replaces it in the...
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Probability & Statistics
04/13/15
19218 gas masks of the military were tested, 10322 ere defective. if 2 gas maskare selected, find the probability that they are both defective.
a.assume that the first gas mask is replaced before the next on is selected.
b.assume that the first mask is not replaced before he next one is selected.
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04/10/15
What is the probability that the student attends at least one class on Monday?
involving a student's attendance at math and accounting classes on Mondays. Assume that the student attends math class with probability 0.65, skips accounting class with probability 0.25, and...
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04/10/15
What is the probability that the Toyota leaves first?
Assume that there are 8 cars: 2 Chevrolets, 5 Fords, and 1 Toyota. Two cars leave at random, one after the other. Draw a tree diagram and use it to answer the following questions.(1) What is the...
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04/10/15
What is the probability of getting exactly 4 correct answers?
about a multiple-choice test in which each question has 4 choices only one of which is correct. Assume that 9 questions are answered by guessing randomly.What is the probability of getting exactly...
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04/10/15
What is the probability that the business makes a profit in exactly two of its first three years?
Assume that the business makes a profit with probability 0.3 in the first year. For each year thereafter, the business makes a profit with probability 0.6 if it made a profit in the previous year,...
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04/10/15
What is the probability that the sum is 11, given that at least one of the numbers rolled is even?
involving the rolling of two fair dice. Answer the following questions.(1) What is the probability that the sum is 11, given that at least one of the numbers rolled is even? (2) What is the...
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04/08/15
Compute the following conditional probabilities
about independent events A and B in a sample space S, but assume that Pr[A] = 0.25 and Pr[B] = 0.3. Compute the following conditional probabilities: (1) Pr[A | B] = (2) Pr[B | A] =
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04/08/15
(1) What is Pr[B] if A and B are independent events? (2) What is Pr[B] if A and B are disjoint events?
For this problem, assume that Pr[A ∪B] = 0.6 and Pr[A] = 0.35.(1) What is Pr[B] if A and B are independent events? (2) What is Pr[B] if A and B are disjoint events?
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04/08/15
Compute the following conditional probabilities
independent events E and F in a sample space S, but assume that Pr[E] = 0.4 and Pr[F] = 0.15. Compute the following conditional probabilities: (1) Pr[E′| F] = (2) Pr[E | F′] =
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04/08/15
Find the associated weights for each outcome.
involving weights of outcomes in a sample space S = { O1, O2, O3, O4 }. Assume that Pr[ { O1, O2 } ] = 0.51, Pr[ { O1, O3 } ] = 0.56, and Pr[ { O1, O2, O3 } ] = 0.77. Find the associated weights...
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04/08/15
Determine the probability of the following events
Assume that your sample space is S = { O1, O2, O3, O4, O5 } with associated weights (probabilities) w1 = 0.15, w2 = 0.30, w3 = 0.20, w4 = 0.10, and w5 = 0.25. Determine the probability of the...
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04/08/15
A bag contains 54 red marbles, 44 blue marbles, and 2 green marbles. Probability
A bag contains 54 red marbles, 44 blue marbles, and 2 green marbles. What is the probability of drawing at least 1 red marble and 1 blue marble, if four marbles total are chosen without...
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Probability & Statistics
04/07/15
Probability
If A and B are two independent events with P(A)= 0.15 and P(B)= 0.7, then P(A n B) is
a. 0.5500 b. 0.2143 c. 0.1050 d. 0.8500
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Probability & Statistics
04/07/15
probability question in description
This is the question: ----- scott shaves his face every morning. for the last 200days he cuts himself 36times. A.) find the probability he will cut himself tomorrow. B.) find the probability he...
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Probability & Statistics
04/07/15
finding probability of account balance and determining the account balance
The account balances for customers holding a particular type of a bank account with National Bank are normally distributed with mean=205,000.00 and a standard deviation=25,000.001. Determine the...
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04/06/15
What is the probability of getting exactly 4 correct answers?
a multiple-choice test in which each question has 4 choices only one of which is correct. Assume that 7 questions are answered by guessing randomly.What is the probability of getting exactly 4...
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04/06/15
What is the probability of at least 6 correct answers?
Assume that 8 questions are answered by guessing.What is the probability of at least 6 correct answers?
Probability & Statistics
04/03/15
mean µ = 39 and standard deviation s = 10. Find the following probabilities. (Round your answers to four decimal places.)
(a) x is less than 60
(b) x is greater than 16
(c) x is between 16 and 60
(d) x is more than 60
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04/02/15
What is the probability of selecting 1 mouse of each gender given that both are grey?
For this problem, assume there are 5 grey females, 2 grey males, 4 white females, and 5 white males. As in the book, the biologist selects two mice randomly.(1) What is the probability of selecting...
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04/02/15
What is the probability that exactly one blue ball is chosen?
Assume that you have 5 red balls and 6 blue balls from which randomly to select two without replacement.(1) What is the probability that exactly one blue ball is chosen? (2) What is the probability...
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04/02/15
What is the probability of neither being red given that neither is blue?
For this problem, assume the box contains 3 red balls, 5 blue balls, and 8 white balls, and that we choose two balls at random from the box.What is the probability of neither being red given that...
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04/02/15
What is the probability of selecting 1 mouse of each gender given that both are grey?
For this problem, assume there are 5 grey females, 2 grey males, 4 white females, and 5 white males. As in the book, the biologist selects two mice randomly.
(1) What is the probability of...
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04/01/15
If the student plans to go to medical school, what is the probability that he is a freshman?
Assume that the class consists of 40 percent freshmen, 15 percent sophomores, 10 percent juniors, and 35 percent seniors. Assume further that 50 percent of the freshmen, 35 percent of the...
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