What is #P(x)# for #n= 6,x = 3, q=0.7#? Statistics Binomial and Geometric Distributions Calculating Binomial Probabilities 1 Answer Ratnaker Mehta Mar 4, 2017 #P(3)=0.18522#. Explanation: #P(x)=""_nC_xp^xq^(n-x), x=0,1,2,3,...,n; and, p+q=1.# We have, #n=6, x=3, and, q=0.7 rArr p=1-q=0.3# #:. P(3)=""_6C_3(0.3)^3(0.7)^(6-3)# #=(20)(0.3)^3(0.7)^3# #=20(0.21)^3# #:. P(3)=20(0.009261)=0.18522#. Answer link Related questions Why do we have to use "combinations of n things taken x at a time" when we calculate binomial... Question #3a8c6 What defines a binomial distribution? What is a binomial distribution? What is the difference between binomial distribution and Poisson distribution? What is the probability of getting 7 heads and 7 tails with 14 coin flips? What is the general formula for the variance and mean of a binomial distribution? What is the standard deviation of a binomial distribution with n=10 and p=0.70? What is the difference between a normal and binomial distribution? What is the variance of a binomial distribution for which n = 75 and p = 0.20? See all questions in Calculating Binomial Probabilities Impact of this question 2725 views around the world You can reuse this answer Creative Commons License