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)
1) IfX~B(10,0.7), find the probability for P(X=5)
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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.
A deck has only 51 cards left, because a spade has been removed. From this deck, cards will be drawn at random, in succession, without replacement. Let Xi be a random variable representing the number of spades in the future i th draw. Calculate the following, and present your answer with 5 digits after the decimal point: Prob(X1 + ... + X7 = 3) = [1]
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
A student will take an exam that lasts a maximum of one hour. The probability that the student finishes the exam before x hours is x / 2, 0 ≤x≤1. If it is known that the student is still taking the exam at the end of 0.75 hours, what is the probability that the student will use the entire hour?
Of 9 randomly selected male students, Xj used Apple computer, whereas of 12 randomly selected female student, X2 used Apple computer. Let: p1 and p2 denote the probabilities that a randomly selected male and female students, respectively, played tennis. what is unbiased estimator of P1 - P2 ? X2 Da. 7+ 12 X1 X2 Ob. 49 144 X2 12 X1 Od. 49 X2 144
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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)