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

Choose the correct option from the given alternatives: The mean and the variance of a binomial distribution are 4 and 2 respectively. Then the probablity of 2 successes is - Mathematics and Statistics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
MCQ

Choose the correct option from the given alternatives:

The mean and the variance of a binomial distribution are 4 and 2 respectively. Then the probability of 2 successes is

Options

  • `128/256`

  • `219/256`

  • `37/256`

  • `28/256`

Advertisement Remove all ads

Solution

`28/256`

Explanation:

np = 4, npq = 2

∴ q = `1/2` and p = `1/2`

∴ `"n"(1/2) = 4`

∴ n = 8

∴ P(X = 2) = `"^8C_2 (1/2)^8 = (8 xx 7)/(1 xx 2) xx 1/256 = 28/256`

Concept: Binomial Distribution
  Is there an error in this question or solution?

APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 8 Binomial Distribution
Miscellaneous exercise 8 | Q 2 | Page 253
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×