3.33 Suppose a certain type of small data processingfirm is so specialized that some have difficulty makinga profit in their first year of operation. The probabil-ity density function that characterizes the proportionY that make a profit is given by3Sky³ (1-y)² 0≤ y ≤ 1,f(y) = 0,elsewhere.(a) What is the value of k that renders the above avalid density function?(b) Find the probability that at most 50% of the firmsmake a profit in the first year.(c) Find the probability that at least 80% of the firmsmake a profit in the first year.

The probability density function that characterizes the proportion Y that makes a profit is given…

Answered: 3.33 Suppose a certain type of small…

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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The dealer's profit, in units of $1000, on a new automobile is a random variable X having the density function given by ={2(1-x), 0
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An important factor in solid missile fuel is the particle size distribution. Significant problems occur if the particle sizes are too large. From production data in the past, it has been determined that the particle size (in micrometers) distribution is characterized by the following function. 7x8, x>1 f(x) = elsewhere (a) Verify that this is a valid density function. (b) Evaluate F(x). (c) What is the probability that a random particle from the manufactured fuel exceeds 3 micrometers?
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#1 please
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