5. A random variable X is uniformly distributed over the interval (48,96). Find the followingprobabilities. You can do this either with a calculator or use R. If you use R just be sure to copyand paste the code and the answer from R into your paper.a) P(50 < X < 70)b) P(X <75)c) P(X > 90)d) P(X < 60 or X > 80)

Note : As per the Bartleby guildlines we have to solve first three subparts and rest can be…

Answered: 5. A random variable X is uniformly…

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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Match the probabilities with the commands. In the answers, the first command stated is for EXCEL and the second is for the Tl calculator. 1. P(X = a) 2. P(X ≤ a) 3. P(X a) 5. P(X> a) 1. 2. 3. 4. [Choose ] [Choose ] =BINOM.DIST(r,n,p,TRUE) or binomcdf(n,p,r) =BINOM.DIST(r-1,n,p,TRUE) or binomcdf(n,p,r-1) -1- BINOM.DIST(r.n.p,TRUE) or 1 -binomcdf(n.p.r) 1- BINOM.DIST(r-1.n.p.TRUE) or 1 -binomcdf(n.p.r-1) -BINOM.DIST(r.n.p.FALSE) or binompdf(n.p.r)
3. Let X be the random variable that takes on the integers {0, 1, 2, ..., 15} with equal probabilities. Define a new random variable Y = X + A, where A is a random variable that takes on the values {-1, 0, 1} with equal probabilities. If the RVs X and A are independent, find the mutual information between X and Y.
There are 2 players in a game. Each player independently picks a real number on the interval [0, 1] uniformly. If the (absolute) difference between the two numbers is less than a (0 < a < 1) and the sum of the two numbers is less than 1, then both players win, otherwise both players lose. What is the probability of winning? 2.
Please I want a handwritten solution, not printed
9. By rewriting the formula for the Multiplication Rule, you can write a formula for finding P(A and B) conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(B| A) = P(A) the information below to find the probability that a flight arrives on time given that it departed on time. The probability that an airplane flight departs on time is 0.92. The probability that a flight arrives on time is 0.86. The probability that a flight departs and arrives on time is 0.83. The probability that a flight arrives on time given that it departed on time is (Round to the nearest thousandth as needed.) . Use
Calculate the following probabilities. a) If X,X-NID(-0,0¹), what is approximate value of Pr(-Sa')? e) If X₁ X₂X₁-Noa), K.,.,- N(0,0)), and Xs and Ys are independent, what T (L.) is Pr X₁-X ox

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5. A random variable X is uniformly distributed over the interval (48,96). Find the following probabilities. You can do this either with a calculator or use R. If you use R just be sure to copy and paste the code and the answer from R into your paper. a) P(50 < X<70) b) P(X<75) c) P(X> 90)