Q9. Two four-sided pair of dice are thrown with equally likely face values 1, 1, 2, 3. Let X denotes the valueon the first die and Y denotes the sum of values on both dice. Find the covariance of X and Y.6964B)7964896499DIGIE)NoneQ10. Find the conditional mean of X given Y = 5 using the informations given in Q9.A) B) C)3 D)E)None

Two-four sided pair of dice are thrown with equally likely face values: 1, 1, 2, 3. X denotes the…

Answered: Q9. Two four-sided pair of dice are…

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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What is the correlation between X and Y? a) 1.0 b) -1.0 c) 0.0 d) -0.5
27. Fishing tournament. A sporting goods manufacturer was asked to sponsor a local boy in two fishing tourna- ments. They claim the probability that he will win the first tournament is 0.4. If he wins the first tournament, they estimate the probability that he will also win the second is 0.2. They guess that if he loses the first tournament, the probability that he will win the second is 0.3. a) According to their estimates, are the two tournaments independent? Explain your answer. b) What's the probability that he loses both tournaments? c) What's the probability he wins both tournaments? d) Let random variable X be the number of tournaments he wins. Find the probability model for X. e) What are the expected value and standard deviation of X?
I need the answer quickly
The zebra plays a game in which in every turn she randomly chooses a letter from the set {A,B,C}, independently of other turns, and registers the outcome in a list. 1. Assume that the zebra plays exactly 4 turns, and let X denote the number of distinct outcomes she registers. 2. The first moment of X is 3. The probability that both A and B are registered at some point during the 4 turns she plays is 4. The second moment of X is 2. Now assume that the zebra plays until she registers every possible outcome at least once, that is, once she has registered at least one of each of the outcomes she stops. The expected number of turns she plays is
Suppose E= "sum is 5" and F= "exactly one of the dice is even". Are E and F independent? Explain why or why not.
The correlation between midterm and final grades for 300 students is 0.620. If 5 points are added to each midterm grade, the new r will be: a. 0.124 b. 0.57 c. 0.62 d. 0.744
OSM HTAM MATH 1420 11. A roulette wheel has 38 slots around the rim. The first 36 slots are numbered from 1 to 36. Half of these 36 slots are red, and the other half are black. The remaining 2 slots are numbered 0 and 00 and are green. As the roulette wheel is spun in one direction, a small ivory ball is rolled along the rim in the opposite direction. The ball has an equally likely chance of falling into any one of the 38 slots. Find each of the following: a. The probability that the ball lands in a black slot. b. The probability that the ball lands on 0 or 00. C. The probability that the ball does not land on a number from 1 through 12 d. The probability that the ball lands on an odd number or on a green slot
Plz calculate covariance and Coefficient of correlation.
8.) Scholarship Award. The odds in favor of Wendy White winning a scholarship are 7:4 Determine the probability that a.) Wendy wins b.) Wendy does not win
1. If two balls are drawn from the box with replacement, compute (a, b, c, and d). 2. If two balls are drawn from the box without replacement for the 1 ball, compute (a, b, c, and d). 3. If two balls are drawn together from the box, compute (a, b, c, and d). a. Probability that the two balls are red? b. Probability that the two balls are white? c. Probability that the 1" ball is red, and the 2nd is white? d. Probability that the 1" ball is white, and the 2nd is red? Red 5 White
Suppose that we roll two fair six-sided dice and record the numbers showing as an ordered pair. Let Y denote the absolute value of the difference of the two numbers. Find E(Y). Select one: О а.35/18 O b. 35/6 O c. 0 d. 5/6 e. None of the other choices
Cami plays softball. The table to the right shows the frequency of the number of hits she has per game. a) For a randomly selected game, what is the probability that she gets exactly 2 hits? b) What is the probability that she gets at most two hits c) What is the probability that she gets at least one hit? a) How is the probability that she gets exactly 2 hits found? O A. Subtract the probability of two hits from 1. ⒸB. Find the sum of the probabilities of no hits, one hit, and two hits. O C. Find the sum of the probabilities of three hits and four hits. O D. Divide the frequency of two hits by the total. The probability that she gets exactly two hits is (Simplify your answer.) b) What formula should be used to find the probability that she gets at most two hits? O A. P(at most two hits) = 1 - (P(three hits) + P(four hits)) O B. P(at most two hits) = P(no hits) + P(one hit) O C. P(at most two hits) = 1 - P(two hits) O D. P(at most two hits) = P(three hits) + P(four hits) The…

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