The probability that an Oxnard University student is carryin

The probability that an Oxnard University student is carrying a backpack is .70. If 8 students are observed at random, what is the probability that more than 4 will be carrying backpacks?

Solution

Given X~Binomial(n=10, p=0.7) P(X=x)=xC10*(0.7^x)*(0.3^(10-x)) So the probability is P(X<=7)=P(X=0)+...+P(X=7)= 0.6172172