There are two male rats and two female rats living in a cage. We se-lect randomly two rats from this cage. The selection is done withoutreplacement, i.e. the first selected rat is not returned to the cage afterit was selected. Let X be the number of males among the two selectedrats. Let F(x) be the cumulative distribution function of X and f(x)be the probability mass function of X. Which one of the followingstatements is incorrect?A) F(x) > 0 when x = 0C) F(x)=0 when x 3E) f(x) = F(x) when x < 0B) f(x) > 0 when x = 0D) f(x) = 0 when x = 3=

Answered: Image /qna-images/answer/58710dfa-be0f-473c-b8b3-7fb20514a709.jpg

Answered: There are two male rats and two female…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose X and Y have the joint probability distribution given by the table shown below. Compute Cov(X,Y). -0.750 O-0.125 -0.625 -0.250 -2 y o 2 0 18 1 BIT 8 x 1 1 4 1 2 0
An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let N be the random variable counting the number of heads in each outcome. For example, if the outcome is thh, then N (thh)=2. Suppose that the random variable X is defined in terms of N as follows: X=2N²-6N-4. The values of X are given in the table below. ttt hhh hth hht tht htt thh tth Value of X -4 -4 -8-8-8-8-8-8 Outcome Calculate the probabilities P (X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value x of X P(X=x) 7 00 X S
need ans asap pls: A box contains six bags of Haribo Starmix and two bags of Haribo Goldbear. Justin chooses five bags at random without replacement. Let S be a discrete random variable counting the number of Starmix bags he ends up with and G a discrete random variable counting the number of Goldbear bags he ends up with. a) Find the probability mass function of G. Work out at least one of the probability values as a simplified fraction. b) Without doing any more calculations, write down the probability mass function of S and briefly explain.
A randomly selected car owner in New York might be having a Japanese made car, where the probability of this event is 0.4. The same person might be having an American made car, where the probability of this event is 0.2. The probability that the same person is having cars of both origins is 0.1. Find the probability that the diver is New York has the car of Japensese origin, but not the American origin.
An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let N be the random variable counting the number of tails in each outcome. For example, if the outcome is tth, then N (tth)=2. Suppose that the random variable X is defined in terms of N as follows: X=N²-2N-2. The values of X are given in the table below. Outcome ttt htt hhh tht tth hth hht thh Value of X 1 -2 -2 -2 -2 -3 -3 -3 Calculate the probabilities P (X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value X of X P(X=x) 0 0 0 0 0 00 X Ś
2. We have two fair dice, one red and one blue. When we roll them together, the outcome can be shown as an order pair, (R, B) where R and B are numbers from the red and the blue die, respectively. Let X be a random variable defined by X(R, B) = R - B where R and B are numbers from red and blue dice, respectively. (a) What is the probability mass function for the random variable? Show that as a table.
What does the memoryless property refer to? An event cannot occur if it has already occured within a recent specified time period. The distribution of the time until an event does not depend on how much time has already passed. The occurrence of an event is independent of the number of times that event has already occurred. None of the above.
Is P(S = s) = fs(s) = 1+11+1 ; s = 0,1,2,... 0; е. w. a discrete probability function? Why or why not?
A purchaser of electric relays buys from two suppliers, A and B. Supplier A supplies two of every three relays used by the company. If 90 relays are selected at random from those in use by the company, find the probability that at most 59 of these relays come from supplier A. Assume that the company uses a large number of relays. (Use the normal approximation. Round your answer to four decimal places.)
In a certain insurance has 20 holders. The ages of these policy holders are as follows: One is 16 years old, four are 18, nine are 19, three are 20, two are 21, and one is 30. Let X= age of any policy holder (randomly selected). Find the probability mass function of age.
(b) Test two independent circuits one after the other. On each test, the possible outcome is either overvoltage (0) or undervoltage (U). Assume that all circuits are overvoltage with probability 0.4. Let X be the number of overvoltage circuit in the first test and Y be the number of overvoltage circuit before you observed undervoltage. If both circuit is overvoltage or undervoltage, Y = 2. Find the joint PMF of X and Y.
An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of heads in each outcome. For example, if the outcome is ttt, then R(ttt) = 0. Suppose that the random variable X is defined in terms of R as follows: X= 2R- 4R-4. The values of X are given in the table below. Outcome ttt tth hht thh tht hhh htthth Value of X -4 -6 -4 -4 -6 -4 Calculate the values of the probability distribution function of X, i.e. the function py. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value x of X Px (x) olo

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