Question #70e01

1 Answer
Jan 20, 2018

#0.375#

Explanation:

for the binomial distribution

#X~B(n,p)#

#P(X=r)=color(white)(A)^nC_rp^r(1-p)^(n-r)#

in this case we have

#X~B(4,0.5)#

we want #P(X=2)#

#P(X=2)=color(white)(A)^4C_2(0.5)^2(0.5)^(4-2)#

#P(X=2)=6xx0.25xx0.25#

#=0.375#