Determine whether the table gives the probability distribution of the random var

Question

Determine whether the table gives the probability distribution of the random variable X. Explain your answer. -21 -1 0 P(x x)0.2 0.1 0.3 0.2 0.1 O Yes, because all the probabilities are between 0 and 1, inclusive. O Yes, because the sum of the probabilities is not equal to 1 O No, because the probabilities are not all equal. O No, because the sum of the probabilities is less than 1. O There is not enough information to tell. Need Help? Tak to a Tuter 6. O -1 points TanFin11 8.1.016 My Notes Ask Determine whether the table gives the probability distribution of the random variable X. Explain your answer. P(X = x) 0.1 0.4 0.2 0.2 0.1 O Yes, because the probabilities are all between O and 1, inclusive, and the values are all unique. O Yes, because the sum of the probabilities is equal to 1 and the values are all unique. O Yes, because the probabilities are all between O and 1, inclusive, and their sum is equal to 1. No, because the sum of the probabilities is not less than 1. There is not enough information to tell. Need Help? Talk to Tutor

Explanation / Answer

Q1)

we find sum of all probabilities

P(X=-2)+P(X=-1)+P(X=0)+P(X=1)+P(X=2)

= 0.2 + 0.1 + 0.3 + 0.2 + 0.1

= 0.9

Given is not the distribution of r.v. X

because

Sum of probabilities is less than 1

Q2)

we find sum of all probabilities

P(X=-1)+P(X=0)+P(X=1)+P(X=2)+P(X=3)

= 0.1 + 0.4 + 0.2 + 0.2 + 0.1

= 1

Correct Answer is

Yes, it is probability distribution of r.v. X

beause the probabilities are all between 0 and 1 , inclusive, and their sum is equal to 1

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