F(x) = 1+ In 04 [This type of cumulative density function is suggested in the article "Variability in Measured Bedload-Transport Rates" (Water Resources Bull., 1985: 39-48) as a model for a certain hydrologic variable.] What is a) P(X <1)? b) P(1

F(x) = 1+ In 04 [This type of cumulative density function is suggested in the article "Variability in Measured Bedload-Transport Rates" (Water Resources Bull., 1985: 39-48) as a model for a certain hydrologic variable.] What is a) P(X <1)? b) P(1

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

10. Let X be a continuous random variable with cumulative density function
F(x) =
1+ In
0<x<4
1
x>4
[This type of cumulative density function is suggested in the article "Variability in
Measured Bedload-Transport Rates" (Water Resources Bull., 1985: 39–48) as a
model for a certain hydrologic variable.] What is
a) P(X <1)?
b) P(1<X<3)?
c) The probability density function of X?

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please teach this I do not no notations
The data for the joint probability mass function of X and Y (two different measurement systems) aregiven in the table below.a) Calculate the marginal distributions of X and Y and plot them.b) Select one of the Y values from the table and find the conditional probability mass function of X for thatY value you have selected and plot it.c) Show whether X and Y are independent or not.d) Calculate the covariance of (X,Y) i.e. Cov(X,Y).
(c) At a bus stop, there are two buses available (bus numbers 1 and 2). For i = 1,2, the waiting time until bus i arrives is denoted by T;, with T independent of T2, and T; has density function fr. (t) = X, exp(-1;t), t>0.
Correction: 1b) What is E?
Section: Probabilty Density Functions
The total number of hours, measured in units of 100 hours, that a family uses a vacuum cleaner in a period of one year is a continuous random variable X that has the following density function:X que tiene la siguiente función de densidad: 0
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Section: Probabilty Density Functions
e?