This problem is an example of a binomial distribution. here n=6,p=0.73P[k of 6 like carrots]=(nk)pk(1−p)n−kThe probability that at least 5 like carrots is P[5]+P[6]=(65)(0.73)5(0.27)1+(66)(0.73)6(0.27)0=(6)(0.2073)(0.27)+(1)(0.1513)(1)=0.487126
This problem is an example of a binomial distribution. here n=6,p=0.73P[k of 6 like carrots]=(nk)pk(1−p)n−kThe probability that at least 5 like carrots is P[5]+P[6]=(65)(0.73)5(0.27)1+(66)(0.73)6(0.27)0=(6)(0.2073)(0.27)+(1)(0.1513)(1)=0.487126