Question

12. The probability distribution for the discrete random variable X = {1, 2, 3, 4} is given by P(X =x) = m(x + 1)^2 a. Find the value of m b. Find P(X > 2) c. Find P(X <= 2) 13. X is a discrete random variable with probability distribution as shown below: x 1 2 3 5 P(X = x) k 2k 0.35 0.20 a. Find the value of k. b. P(X >= 2) c. P(|X - 1| <= 2)

          12. The probability distribution for the discrete random variable X = {1, 2, 3, 4} is given by
P(X =x) = m(x + 1)^2

a. Find the value of m
b. Find P(X > 2)
c. Find P(X <= 2)

13. X is a discrete random variable with probability distribution as shown below:

x 1 2 3 5
P(X = x) k 2k 0.35 0.20

a. Find the value of k.
b. P(X >= 2)
c. P(|X - 1| <= 2)

12. The probability distribution for the discrete random variable X = 1, 2, 3, 4 is given by
P(X =x) = m(x + 1)^2

a. Find the value of m
b. Find P(X > 2)
c. Find P(X <= 2)

13. X is a discrete random variable with probability distribution as shown below:

x 1 2 3 5
P(X = x) k 2k 0.35 0.20

a. Find the value of k.
b. P(X >= 2)
c. P(|X - 1| <= 2)

Added by Denise B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert David Nguyen

02/05/2022

Step 1

Since the sum of probabilities for all possible values of X must equal 1, we set up the equation: \[ \sum_{x=1}^4 P(X = x) = 1 \] \[ m(1+1)^2 + m(2+1)^2 + m(3+1)^2 + m(4+1)^2 = 1 \] \[ m(2^2) + m(3^2) + m(4^2) + m(5^2) = 1 \] \[ m(4 + 9 + 16 + 25) = 1 \] \[ m(54) Show more…

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The probability distribution for the discrete random variable X = {1, 2, 3, 4} is given by P(X =x) = m(x + 1)^2 a. Find the value of m b. Find P(X > 2) c. Find P(X <= 2) X is a discrete random variable with probability distribution as shown below: x 1 2 3 5 P(X = x) k 2k 0.35 0.20 a. Find the value of k. b. P(X >= 2) c. P(|X - 1| <= 2)