Question

9
9. If a random variable X follows binomial distribution with parameters 10 and p and
P(X = 5) = 2P(X = 4), find P(X > 0|X< 2) and P(X = at most 1).
timer must be fire so that​

Answer 1

P(r) = c(n,r) p^r q^n-r
P(5) = 2 P ( 4)
C(10,5)p^5q^5 = C(n,4) p^4q^6
6| 4|
——- =. q/p
5| 5|
6/5 = 1-p/p
6p= 5-5p
11p = 5
p= 5/11
P(at most1) = 1-P(o)
= 1- (5/11)^ 10