2. The following Table presents the joint probability distribution for two random variables X and Y. Using this information answer the questions below. X=1 X=2 Y=1 1c 3c iii. Find P(1.5 < X < 2). iv. Find P(1.5 ≤ x ≤ 2). Y=2 4c 20 That is, P(X= 1, Y = 1) = p(1, 1) = 1c and so forth. (a) Find the value of constant, c. (b) [Marginal distributions] i. Determine the probability mass functions (pmf) of X, px(x). ii. Find the cumulative distribution of X.

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2. The following Table presents the joint probability distribution for two random
variables X and Y. Using this information answer the questions below.
X=1
X=2
Y=1
1c
3c
iii. Find P(1.5 < X < 2).
iv. Find P(1.5 ≤ x ≤ 2).
Y=2
4c
2c
That is, P(X= 1, Y = 1) = p(1, 1) = 1c and so forth.
(a) Find the value of constant, c.
(b) [Marginal distributions]
i. Determine the probability mass functions (pmf) of X, px (x).
ii. Find the cumulative distribution of X.
Transcribed Image Text:2. The following Table presents the joint probability distribution for two random variables X and Y. Using this information answer the questions below. X=1 X=2 Y=1 1c 3c iii. Find P(1.5 < X < 2). iv. Find P(1.5 ≤ x ≤ 2). Y=2 4c 2c That is, P(X= 1, Y = 1) = p(1, 1) = 1c and so forth. (a) Find the value of constant, c. (b) [Marginal distributions] i. Determine the probability mass functions (pmf) of X, px (x). ii. Find the cumulative distribution of X.
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