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 hth, then N (hth) = 1. Supposethat the random variable X is defined in terms of N as follows: X=2N² -4N-3. The values of X are given in the table below.Outcome hth hhh tht tth hht thh htt tttValue of X-5 -3 -3 -3 -5 -5 -3 3Calculate 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 inthe second row.Value X of XP(X=x)0 00 0 08X

Given that,N be the random variable counting the number of tails in each outcome.Outcomes for x…

Answered: An ordinary (fair) coin is tossed 3…

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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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 hht, then =Rhht2. Suppose that the random variable X is defined in terms of R as follows: =X−R2−3R1. The values of X are given in the table below. Outcome hht tth tht hhh thh hth ttt htt Value of X −3 −3 −3 −1 −3 −3 −1 −3 Calculate the values of the probability distribution function of X, i.e. the function pX. 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)
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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 hht, then = Nhht1. Suppose that the random variable X is defined in terms of N as follows: =X−2N2−4N3. The values of X are given in the table below. Outcome ttt hhh htt hht thh tht hth tth Value of X 3 −3 −3 −5 −5 −3 −5 −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)
just this multichoice question please
Q.28 F
Consider the following random experiment: we toss a two-sided coin (H on one side and T on the other side) n = 3616 times. In any given toss, the probability the coin comes up H is p = P(H) = 0.3. Each time the coin comes up H we give Tom 2 dollars and each time the coin comes up T we take from Tom 1 dollar (so Tom either gets 2 or gets -1, i.e., loses 1 dollar). How many dollars do we expect Tom will get on "average", i.e., per experiment?
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