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Random Variables : Continuous R.V., Exponenetial, R.V, Mean and Variance
Let X be a continuous random variable with probability density function f(s)= c(1 + s^2) for -2 <= s <= 2.a) Determine cb) Determine Pr {X <= 0}c) Determine the mean of Xd) Why is the previous answer fairly obvious?e) Determine the variance of Xf) Compute Pr {X = 2 | X = 0}g) Determine the cumulative distribution function
Let Y be an exponential random variable with parameter 1.5a) Compute Pr {Y=0}b) Compute Pr {Y > 2}c) Compute Pr {Y > 4 | Y > 2}d) Compute Pr {Y > 5 | Y > 3}e) Compute Pr {Y > 5.6 | Y > 3.6}f) Compute Pr {Y > x + 2 | Y > x } for x >= 0?g) What is E[Y]?h) What is the variance of Y
Suppose three fair coins are flipped. Find the probability for each of the following events. Exactly two coins are tails.
Assignment on Business mathematics and statistics, Fix a Straight Line Trend equation by the method of Least Square Principle method. Assuming that the same rate of change continues what would be the predicted earnings for the year 1990?
What percentage of Americans earn below $20,000? What percenage of Americans earn above $ 43,000?
Linear programming problem consisting of only two constraints with one objective function.
Uniform Distribution and a 20-Sided Die, In this problem there are two ways to solve one is the largest way counting every pair of the outcome and the other is the smallest, using CDF.
Probability : Demand for a Product The demand for a product is estimated to be normally distributed with u=200 and o=40. Let x be the number of units demanded
In a triangle ABC, if r 1 is the exradius of the excircle opposite to A, r 2 is the exradius of the excircle opposite to B and r 3 is the exradius of the excircle opposite to C
Calculate the probability, A random variable T is selected that is uniformly distributed over the interval
Important information about Probability : Random Selection, A man has been guessing colors of cards drawn from a standard deck of cards. During the first 50 draws he kept track of the number of cards of each color
Probability - independence of 2 events. Prove that if A and B are independent events in a probability space, then the events A^c and B^c are also independent.
Probability - poker fullhouse. A game of poker is played with an ordinary deck of 52 cards, and each player is dealt a hand of 5 cards chosen at random
Probability Distribution Function. Suppose that the number of pounds of grapes sold by the Smalltown Co-op grocery store in a day is equally likely to be anywhere between 0 and 100 pounds (fractional values are possible)
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