Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Evaluate the cumulative distribution function of a binomial random variable with n equals 3 and p equals 1 divided by 6 at specified points. Give exact answers in form of fraction. Upper F left-parenthesis 0 right-parenthesis equals Upper F left-parenthesis 1 right-parenthesis equals Upper F left-parenthesis 2 right-parenthesis equals Upper F left-parenthesis 3 right-parenthesis equals

Sagot :

fichoh

Answer:

125/216

25/72

5 / 72

1 / 216

Step-by-step explanation:

n = 3

p = 1/6 = 0.1667

Using the relation :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

F(0) = 3C0 * (1/6)^0 * (1 - 1/6)^3

F(0) = 1 * 1 * (5/6)^3

F(0) = 1 * 125/216

F(0) = 125 / 216

F(1) = 3C1 * (1/6)^1 * (1 - 1/6)^2

F(1) = 3 * 1/6 * (5/6)^2

F(1) = 3 * 1 / 6 * 25/36

F(1) = 75 / 216

F(1) = 25 / 72

F(2) = 3C2 * (1/6)^2 * (1 - 1/6)^1

F(2) = 3 * 1 / 36 * (5/6)^1

F(2) = 3 * 1/36 * 5/6

F(2) = 15/216

F(2) = 5/72

F(3) = 3C3 * (1/6)^3 * (1 - 1/6)^0

F(3) = 1 * 1 /216 * (5/6)^0

F(3) = 1 * 1/216

F(3) = 1/216

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.