Question

Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X. (a) f(x) = c(x²+8), for x = 0, 1, 2, 3 (b) f(x) = c$\binom{3}{x}$$\binom{2}{2-x}$, for x = 0, 1, 2 (a) c = $\frac{1}{46}$ (Simplify your answer.) (b) c = 18 (Simplify your answer.)

Name: determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable x a fx cx28 for x 0 1 2 3 b fx cbinom3xbinom22 x for x 0 01108
Uploaded: 2024-09-17T04:01:58-08:00
Duration: 2 min 24 s
Channel: Audrey Fong
Description: determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable x a fx cx28 for x 0 1 2 3 b fx cbinom3xbinom22 x for x 0 01108

          Determine the value c so that each of the following functions can serve as a probability distribution of the discrete
random variable X.
(a) f(x) = c(x²+8), for x = 0, 1, 2, 3
(b) f(x) = c$\binom{3}{x}$$\binom{2}{2-x}$, for x = 0, 1, 2
(a) c = $\frac{1}{46}$ (Simplify your answer.)
(b) c = 18 (Simplify your answer.)

determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable x a fx cx28 for x 0 1 2 3 b fx cbinom3xbinom22 x for x 0 01108

Added by David D.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Audrey Fong

09/17/2024

Step 1

In this case, x can be 0, 1, 2, or 3. So we have: $\sum_{x=0}^{3} f(x) = 1$ $\sum_{x=0}^{3} c(x^2 + 8) = 1$ $c(0^2 + 8) + c(1^2 + 8) + c(2^2 + 8) + c(3^2 + 8) = 1$ $c(8) + c(9) + c(12) + c(17) = 1$ $c(8 + 9 + 12 + 17) = 1$ $c(46) = 1$ $c = \frac{1}{46}$ Show more…

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Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X. (a) f(x) = c(x²+8), for x = 0, 1, 2, 3 (b) f(x) = c$\binom{3}{x}$$\binom{2}{2-x}$, for x = 0, 1, 2 (a) c = $\frac{1}{46}$ (Simplify your answer.) (b) c = 18 (Simplify your answer.)