Maharashtra State BoardHSC Arts 12th Board Exam
Advertisement Remove all ads

Given X ~ B(n, P) if n = 10 and p = 0.4, find E(x) and Var(X). - Mathematics and Statistics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Sum

Given X ~ B(n, P) if n = 10 and p = 0.4, find E(x) and Var(X).

Advertisement Remove all ads

Solution

Given: n = 10 and  p = 0.4

∴ q = 1 - p = 1 - 0.4 = 0.6

∴ E(X) = np

= 10(0.4) = 4

∴ Var(X) = npq

= 10(0.4)(0.6) = 2.4

Hence, E(x) = 4, Var(X) = 2.4

Concept: Mean of Binomial Distribution (P.M.F.)
  Is there an error in this question or solution?

APPEARS IN

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×