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Probability Questions
Probability Questions
The two continuous random variables, X1 and X2, are independent and have the same pdf, ?4x3 : 0≤x≤1, fX1 (x) = fX2 (x) = 0 : otherwise. Define the two variables U and V as follows. U = X ?X , V = X ?X . 21 1. Find the joint pdf of U and V. 2. Find and plo
probability and statistics
probability and statistics
STAT
Statistics question
Probability question
Travelocity would like to test if the average roundtrip airfare between New York and London is less than $1,400. A random sample of 30 flights between New York and London was selected and the airfare was recorded. Assume that the standard deviation for th
Entertainment Software Association would like to test if the average age of "gamers" (those that routinely play video games) is more than 30 years old. A random sample of 33 gamers was selected and their ages were recorded. Assume that the standard deviat
A golfer claims that his average golf score at the course he plays regularly is less than 90. A random sample of 35 rounds of golf was selected and the scores were recorded. Assume that the standard deviation for the population of scores for this golfer i
Weather Probability
On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 120 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual.
Let A, B and C be events in a sample space S such that A ∩ C = 0 and A ∪ B ∪ C = S. If it is known that P(A) = .20, P(B) = .61, P(A ∪ B) = .75 and P(B ∩ C) = .10, find: (a) P(A ∩ B); (b) P(C ∩ B′ ). (c) Are A and B independent? Are A and C independent?
Twelve people (four from each of three families) partic- ipate in a rae drawing at a fair. Three of the twelve are randomly chosen (no person is allowed to be chosen more than once) as winners.
In the workforce of a large factory, 70% of the employees are high-school graduates, 8% are supervisors, and 5% are both supervisors and high-school graduates. If the employee is not a high-school graduate, what is the probability he is a supervisor?
Tumor counts: A cancer laboratory is estimating the rate of tumorigenesis in two strains of mice, A and B. They have tumor count data for 10 mice in strain A and 13 mice in strain B. Type A mice have been well studied, and information from other laborator
Tumor counts: A caTumor counts: A cancer laboratory is estimating the rate of tumorigenesis in two strains of mice, A and B. They have tumor count data for 10 mice in strain A and 13 mice in strain B. Type A mice have been well studied, and information fr
Probability
Productive Opportunities and Risk Bearing Optimum
A random sample of size n = 85 is taken from a finite population of size N = 479 with mean μ = 253 and variance σ2 = 436. [You may find it useful to reference the z table.] a-1. Is it necessary to apply the finite population correction factor? Yes No
Probability Question
Probability & Statistics Question
Engineers must consider the diameters of heads when designing helmets.
probability
You plan to conduct a marketing experiment in which students are to taste one of two different brands of soft drink. Their task is to correctly identify the brand tasted. You select a random sample of 200 students and assume that the students have no abil
Class Widthe
the annual per capita consumption of ice cream (in pounds) in the united states can be approximated by the normal distribution, as shown in the figure to the right.
suppose a fair die is rolled 15 times. let x be the number of faces that never show up in these 15 rolls.
Suppose a fair die is rolled 15 times. Let x be the number of faces that never show up in these 15 rolls.
trigonometry probability
Bruskin Associates Market Research found that 40% of Americans do not think that having a college education is important to succeed in the business world
Bruskin Associates Market Research found that 40% of Americans do not think that having a college education is important to succeed in the business world
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