1 2 3 + TANFIN12 8.1.018. Find conditions on the numbers a and b such that the table gives the probability distribution of the random variable x. -1 4 5 P(X = x) b 0.2 a 0.3 0.3 0.1 a + b =

Fill in the P (x=*) values to give a legitimate probability distribution for the discrete random variable X,whose possible values are -2, 1, 2, 4, and 5. Value x of X P(x=X) -2 _ 1 0.22 2 0.24 4 0.24 5 _

Suppose a random variable X is best described by a uniform probability distribution with range 0 to 6. Find the value of a that makes the following probability statements true. P( X > a ) = 0.13 P( 2.61 <= X <= a ) =0.03

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