for y> M/ the cumulative distribution (d) Find the probability P(Y < M/2). How can tlll the c.d.f. Fy? found (e) Does Y qualify either as a discrete or as a continuous random variable Hint. When you write down probabilities, be careful with and
for y> M/ the cumulative distribution (d) Find the probability P(Y < M/2). How can tlll the c.d.f. Fy? found (e) Does Y qualify either as a discrete or as a continuous random variable Hint. When you write down probabilities, be careful with and
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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Question
![for y> M/
the cumulative distribution
(d) Find the probability P(Y < M/2). How can tlll
the c.d.f. Fy?
found
(e) Does Y qualify either as a discrete or as a continuous random variable
Hint. When you write down probabilities, be careful with and <whea
matters. If you need inspiration, look at Example 3.20
Exercise 3.62. A little boy plays outside in the yard. On his own he would co
back inside at a random time uniformly distributed on the interval [0, 1]. (Let
take the units to be hours.) However, if the boy is not back inside in 45 minue
his mother brings him in. Let X be the time when the boy comes back inside](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb49665fa-d541-432e-948d-96141d7a5410%2F0c479b4d-1e88-41a4-b8b5-085e4488b1dc%2Flqwl5l.jpeg&w=3840&q=75)
Transcribed Image Text:for y> M/
the cumulative distribution
(d) Find the probability P(Y < M/2). How can tlll
the c.d.f. Fy?
found
(e) Does Y qualify either as a discrete or as a continuous random variable
Hint. When you write down probabilities, be careful with and <whea
matters. If you need inspiration, look at Example 3.20
Exercise 3.62. A little boy plays outside in the yard. On his own he would co
back inside at a random time uniformly distributed on the interval [0, 1]. (Let
take the units to be hours.) However, if the boy is not back inside in 45 minue
his mother brings him in. Let X be the time when the boy comes back inside

Transcribed Image Text:Exercises
a) Find the cumulative distribution function F of X.
(b) Find the mean E(X).
(c) Find the variance Var(X).
Hint. You should see something analogous in Exa
Exercise 3.63. A random variable X is symmetric if X
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