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Let T be an exponential random variable with parameter λ.let X be a discrete random variable defined as X=k if k<=T<k+1, k=0,1.... Find the frequency function of X.
Examples of Probability and Statistics in Real Life, Can you think of situations in the business world or other real life situations where you would need to calculate or estimate probabilities?
If Jane has a part-time teacher for her economics course, what is the probability that she is taking a night class?
Adrian's CD player can hold six disks at a time and shuffles all of the albums and their songs. If he has thirteen CD's, how many different combinations of six CD's can he put in the player?
Find the center of mass of the lamina bounded by y = x^2 and y=2x and the density is ?(x,y) = xy.
Compute the Wronskian of the given set of functions, then determine whether the function is linearly dependent or linearly independent: x^2 - x, x^2 + x, x^2, all x
a parabolic satellite dish is formed by rotating the curve y=ax^2 about the y-axis. if the dish has a 10 foot diameter and a maximum depth of 2 feet, find a and then find the surface area of the dish.
Find the slope-intercept form of a line that is the perpendicular bisector of a line segment connecting (-7,3) and (1,17)
Probability amd Mutually Exclusive Events, A fair dice is rolled. What is the probability of rolling an odd number OR a number less than 3?
Calculate a confidence interval for the average cost
Let R be a commutative ring with 1. Prove that if (a,b)=1 and a divides bc, then a divides c. More generally, show that if a divides bc with nonzero a,b then a/(a,b) divides c.
a mass of 35g stretches a spring 8.4cm. if the distance that a spring is stretched is directly proportionally to the attached mass, how many centimeters will the spring be stretched by a mass of 50g.
Without graphing, can you use the slope to determine whether there is a solution for a system of two linear equations in two unknowns? How?
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