# Question: Suppose a random variable is equally likely to fall anywhere

Suppose a random variable is equally likely to fall anywhere in the interval [a, b]. Then the PDF is of the form

Find and sketch the corresponding CDF.

Find and sketch the corresponding CDF.

## Answer to relevant Questions

Find and plot the CDFs corresponding to each of the following PDFs: (a) (b) The voltage of communication signal is measured. However, the measurement procedure is corrupted by noise resulting in a random measurement with the PDF shown in the accompanying diagram. Find the probability that for any ...A Gaussian random variable has a PDF of the form Write each of the following probabilities in terms of Q- functions (with positive arguments) and also give numerical evaluations: (a) (X > 17), (b) (X > 4), (c) (X > 15), (d) ...Repeat Exercise 3.2 for the case where the random variable has the CDF Find the following quantities: (a) Pr(X < 2) (b) Pr(X > 4) (c) Pr (1< X< 3) (d) Pr(X > 2|X < 4) In this problem, we extend the results of Exercise 3.36 to the case when there are more than two possible messages sent. Suppose now that the communication system sends one of four possible messages, M = 1, M = 2, M = 3 and, ...Post your question