The times taken for female runners to complete the marathon can be modelled by a normal 58% distribution with a mean 210 minutes. It is found that of female runners complete the 185 235 marathon between and minutes. Find the standard deviation of the times taken by female runners. 650 340 30% male runners and female runners took part in the marathon. of male runners wore 40% sunglasses and of female runners wore sunglasses. Find the probability that a runner selected at random wears sunglasses. One runner was selected at random for an interview and was found to wear sunglasses. (e) Find the probability that the selected runner was male.
The times taken for female runners to complete the marathon can be modelled by a normal distribution with a mean 210 minutes. It is found that 58% of female runners complete the marathon between 185 and 235 minutes. Find the standard deviation of the times taken by female runners. 650 male runners and 340 female runners took part in the marathon. 30% of male runners wore sunglasses and 40% of female runners wore sunglasses. Find the probability that a runner selected at random wears sunglasses. One runner was selected at random for an interview and was found to wear sunglasses. (e) Find the probability that the selected runner was male.
Probability-Distributions-Holiday-Assignment-2017.docx