760 Answered Questions for the topic Probability & Statistics
03/27/15
Find the following probabilities
involving events E, F, and G in a sample space S. Assume that Pr[E] = 0.45, Pr[F] = 0.3, Pr[G] = 0.5, Pr[E∩F] = 0.15, Pr[E∩G] = 0.25, Pr[F∩G] = 0.1, and Pr[E∩F ∩G] = 0.05;. Find the following...
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03/27/15
Find the probabilities of the following events
events A and B of a sample space S, but assume that Pr[A′] = 0.4, Pr[B] = 0.55, and Pr[A′∩ B] = 0.2. Find the probabilities of the following events: (1) Pr[A∩B] = (2) Pr[A∪B] = (1) Pr[A′∪B]
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Probability & Statistics
03/26/15
In a city 15% of the bus riders with a monthly pass are students. In a random sample of 50 bus riders with monthly passes, 12 are students. Find p and p^.
In a city 15% of the bus riders with a monthly pass are students. In a random sample of 50 bus riders with monthly passes, 12 are students. Find p and p^. I know for p=0.15 but for p^ I have a hard...
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03/25/15
What is the probability that the second ball drawn is yellow?
Assume that the box contains 12 balls: 3 red, 4 blue, and 5 yellow. As in the text, you draw one ball, note its color, and if it is yellow replace it. If it is not yellow you do not replace it. You...
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03/25/15
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 0.2 in the first year. For each year thereafter, the business makes a profit with probability 0.7 if it made a profit in the previous year,...
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03/25/15
What is the probability that a randomly selected car has a CD player?
Assume that the fleet consists of 35 percent Lexus, 45 percent Infinity, and 20 percent Mercedes automobiles. 75 percent of the Lexus cars, 90 percent of the Infinities, and 40 percent of the...
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03/25/15
What is the probability that a randomly selected student plans to major in science?
Assume that 30 percent of students have taken calculus in high school. Of those who have taken calculus in high school, 65 percent plan to major in science. Of those who did not take calculus in...
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03/25/15
What is the probability that the second apple you pick is red?
nvolving the selection of two apples from a bag of red and yellow apples without replacement. Assume that the bag has a total of 10 apples: 6 red and 4 yellow.(1) What is the probability that the...
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03/24/15
Help finding the sample size! Statistics
A paint manufacturer uses a machine to fill gallon cans with paint.
a)The manufacturers wants to estimate the mean volume of paint the machine is putting in the cans within 0.25 ounces....
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03/24/15
How many times do we need to toss a bias coin?
Suppose we have a biased coin, with a probability p of coming up heads and q=1-p of coming up tails on any given toss, but we are not given what p or q are. We know from class that the expected...
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Probability & Statistics
03/23/15
What is the expected number of functioning dishwashers? What is the variance for the number of functioning dishwashers? What is the standard deviation for?
A dishwasher factory has a 1/8 chance of producing a defective dishwasher, and a 7/8 chance of producing a functioning one. An inspector selects a batch of 256 dishwashers produced by the machine...
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Probability & Statistics
03/14/15
Is this parameter or statistic?
Average commute time for employees at a small company, based on interviews with all employees.
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Probability & Statistics
03/09/15
what is the probability of a man over 50 showing no signs of heart disease, given that he smokes?
In a research study concerning the relatioship between smoking and heart disease in men over 50, it was found that 20% of the men smoked and had showed no signs of heart disease. Futhermore, it was...
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Probability & Statistics
03/07/15
Suppose a class has 28 freshmen, 12 sophomores, 8 juniors, and 3 seniors in it. If 3 student names are drawn, what is the probability that they are freshmen?
I want to know how to do this probability problem
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03/07/15
How many of these are less than 5000?
In this version, you are to form a 4-digit number from the digits 1, 2, 3, 4, 7, 8, and 9, using each at most once.
How many of these are less than 5000?
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03/07/15
What is the value of w2?
For this problem, assume that 2, 6, 5, and 4 are equally likely, a 1 is three times as likely as a 4, and a 3 is four times as likely as a 1. (1) What is the value of w2? (2) What is the value of...
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03/07/15
How many ways can you pick the cars so not all are the same size?
For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7 subcompact cars, 6 compact cars, and 4 midsize cars. How many ways can you pick the cars so not all are...
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Probability & Statistics
03/07/15
what is the 55% probability of absenteeism and 41% of turnover and 22% of both absenteeism and turnover?
what is the 55% probability of absenteeism and 41% of turnover and 22% of both absenteeism and turnover?
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Probability & Statistics
03/06/15
If you were to draw a card from a standard 52 deck, replace it, and shuffle, then what would be the probability of drawing the same card again?
Answer the question regarding a standard 52-card deck
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Probability & Statistics
03/05/15
Difficult counting problem
A bookie offers two bets I and II on a particular football match: I You win this bet if the total number of goals scored in the first half of the game is at most 1. II You win this bet if the total...
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03/05/15
1) What is the value of w2? (2) What is the value of w1? (3) What is the value of w3?
For this problem, assume that 2, 6, 5, and 4 are equally likely, a 1 is three times as likely as a 4, and a 3 is four times as likely as a 1.(1) What is the value of w2? (2) What is the value of...
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03/05/15
What is the probability they sum to 9, 3, or 6?
involving the sum of two die rolls.(1) What is the probability they sum to 9, 3, or 6? (2) What is the probability they sum to at least 7?
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03/05/15
What is the probability that at least 2 of the dinners selected are pasta dinners?
Assume that there are 15 frozen dinners: 6 pasta, 5 chicken, and 4 seafood dinners. The student selects 5 of them.What is the probability that at least 2 of the dinners selected are pasta dinners?
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Probability & Statistics
03/05/15
Lottery Numbers Example(imaginary)
Lottery Numbers Example 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25.26.27,28,29,30,31,32,33,34,35,36
Probability Test:
Hello, I have question regarding numbers. Below are a...
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03/05/15
In how many ways can the assignments be made if John writes the introduction?
Assume that 12 students, including John, are working on the project report, which contains an introduction, 4 chapters, and a conclusion for a total of 6 sections.(1) In how many ways can the...
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