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)
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)
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.
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.
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
|
|
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