Let X denote the number of computers sold (X = 0, 1, 2, 3). Theprobability mass function is p(0) = .1, p(1) = .2, p(2) = .3, and p(3) = .4.Each computer is bought at $500 and will be sold for $1000. Unsoldcomputer will be returned and get $200 back. Let h(X) denote the profitand compute E(h(X)).

Given that the price of each computer is $500 and the selling price is $1000. Then, the profit on…

Answered: Let X denote the number of computers…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A manager accepts the work submitted by his typist only when there is no mistake in the work. The typist has to type on an average 20 letters per day of about 200 words each. Find the chance of her making a mistake: (i) if less than 1% of the letters submitted by her are rejected, (ii) if on 90% days all the letters submitted by her are accepted. [As the probability of making a mistake is small, you may use Poisson Distribution. Take e = 2-72.]? %3D
Let f, g be probability densities such supp(f) c supp(g). show yes X1, ... , Xn X1,..., X, iid. L(g) then f(X;) W; = g(X;) is hopeful 1. Argue why the weights need to be re-normalized even when the normalization constants of the densities f and g are known.
Let X = daily number of bag of rice a farmer harvest. The farmer modeled X and got the following probability mass function. X 0 1 2 3 4 P(X=x) 0.1 0.4 0.25 0.15 0.10 a. The probability that the farmer will harvest 5 bags of rice today is? b. The probability that the farmer will harvest at least 2 bags of rice today? c. The amount of bags of rice the farmer harvest for a day on the average is? d. If the farmer gets $300 per bag, what is the farmer's average daily earnings? e. What is the variance of X?
For a wide sense stationary process: Select one: O a. the covariance is constant O b. all of these O c. the expected value is constant
Suppose X and Y have the following joint distribution: (please refer to image attached) Find the distributions of X and Y. Find Cov (X, Y), i.e. the covariance of X and Y. Find p(X, Y), i.e. the correlation of X and Y.
2.Suppose that the return R (in dollars per share) of a stock has the uniform distribution on the interval [-3,7]. Suppose also, that each share of the stock costs $1.50. Let Y be the net return (total return minus cost) on an investment of 10 shares of the stocks. Compute E(Y).
Find c to get a probability mass function.
A density curve consists of the line segment connecting the points (0,1) and (0.5,1) and the segment connecting(0.5, 1) to the x-axis.a. Determine the coordinate point where the second segment crosses the x-axis.b. Determine the slope of that segmentc. Determine the equation of the line containing this segment (y = mx + b)d. Calculate the probability P(X > 1)

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