answer the following Consider the density function f(x) =(a) k =(b) Complete the definition of F(x).(a) Evaluate k.(b) Find F(x) and use it to evaluate P(0.5

There are two types of variables, they are discrete or continuous. Discrete variable are countable…

Answered: Consider the density function f(x)= (a)…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let x denote the amount of gravel sold (in tons) during a randomly selected week at a particular sales facility. Suppose that the density curve has height f(x) above the value x where F(x) = {6" |2(1 - x) 0s x< 1 otherwise. The density curve (the graph of f(x)) is shown in the following figure. Density Gravel (tons) Use the fact that the area of a triangle = (base)(height) to calculate each of the probabilities. (Hint: Drawing a picture and shading the appropriate area will help.) (a) The probability that gravel sold exceeds - ton. (b) The probability that gravel sold is at least ton.
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The probability density function of a distribution is given by x f(x) = exp(-7). Use differentiation to show that the probability density function has a maximum at x = 0. The moment generating function of a distribution is M(t) = (q + pet)", where p € [0, 1], q = 1 - p and n is a positive integer. Use the moment generating function to find the mean and variance of the distribution in terms of p, q and n.
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Consider the density function f(x)= (a) Evaluate k. (b) Find F(x) and use it to evaluate P(0.5< X<0.7). F(x)= (a) k= (Type an integer or a simplified fraction.) (b) Complete the definition of F(x). X< k√x, 0