determine the indicated probabilty for a binomial experiemen

determine the indicated probabilty for a binomial experiement with a given number trials and the given success probabilty. round to 4 decimal

n = 8, p = 0.7    P (7 or more) equals

Solution

P( 7 or more) = P( x >= 7)

P( x=7) = 8C7 * 0.7^7 * 0.3^8-7 = 0.1976

P(x=8) = 8C8 * 0.7^8 * 0.3^8-8 = 0.0576

P( 7 or more) = 0.1976 + 0.0576 = 0.2552