Q11 of 52 Page 1

A die is thrown 6 times. If “getting an odd number” is considered success, what is the probability of (i) 5 successes? (ii) atmost 5 successes?

Or


The random variable X has a probability distribution P(X) of the following form, where ‘k’ is some number.



Determine the value of ‘k’.


This is a binomial distribution with n=6,


(i) We know,













(ii)

P(r≤ 5) = 1 - P(r=6)










OR


Given that


The sum of all probabilities of a random variable is equal to 1.


⇒ k+2k+3k+0=1

⇒ 6k = 1


Hence,

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.