(a) Calculate the probability that a lion selected at random will have a mass of 350 kg or more. (b) The probability that the mass of a lion lies between and is 0.90, where a b a and are symmetric about the mean. Find the value of and of Give your b a b. answers to the nearest kg. 9. The times taken for male runners to complete a marathon can be modelled by a normal 196 24 distribution with a mean minutes and a standard deviation minutes. (a) Find the probability that a runner selected at random will complete the marathon in 3 less than hours. It is found that 5% of the male runners complete the marathon in less than T1 minutes. Calculate T1, to the nearest minute.
(a) Calculate the probability that a lion selected at random will have a mass of 350 kg or more. (b) The probability that the mass of a lion lies between a and b is 0.90, where a and b are symmetric about the mean. Find the value of a and of b. Give your answers to the nearest kg. 9. The times taken for male runners to complete a marathon can be modelled by a normal distribution with a mean 196 minutes and a standard deviation 24 minutes. (a) Find the probability that a runner selected at random will complete the marathon in less than 3 hours. It is found that 5% of the male runners complete the marathon in less than T1 minutes. Calculate T1, to the nearest minute.
Probability-Distributions-Holiday-Assignment-2017.docx