Find k such that the function is a probability density function over the given interval. Then write the probability density function.f(x):k[10,30].....What is the value of k?k =(Type an exact answer.)What is the probability density function?f(x) =(Type an exact answer.)

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Answered: Find k such that the function is 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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Probability. Please assist me in questions i and ii. Thank you.
For the probability density function f defined on the random variable x, find (a) the mean of x, (b) the standard deviation of x, and (c) the probability that the random variable x is within one standard deviation of the mean. 1 f(x) = x, [2,4] ..... a) Find the mean. (Round to three decimal places as needed.) b) Find the standard deviation. O = (Round to three decimal places as needed.) c) Find the probability that the random variable x is within one standard deviation of the mean. The probability is (Round to three decimal places as needed.)
use a graphing utility to graph the function. Determine whether the function f represents a probability density function over the given interval. If f is not a probability density function, identity the conditions that is (are) not satisfied f(x)= 1/8 (0,8)
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The graph shows the uniform density function for a friend who is x minutes late. Find the probability that the friend is at least 15 minutes late.
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Find a constant ? such that ? is a probability density function on the given interval and compute the probability indicated. ?(?)=?(?+8)^3 on [0,∞) (Use symbolic notation and fractions where needed.)

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Find k such that the function is a probability density function over the given interval. Then write the probability density function. k [10,30] f(x) = ..... What is the value of k? k = (Type an exact answer.) What is the probability density function? f(x) = (Type an exact answer.)