Suppose that the weight of healthy Australian males is a normally distributed random variable with a mean of 95 kg and a standard deviation of 10 kg.

a) If the random variable X is the Weights of healthy Male, identify the distribution of X and state the values of its parameter/s?

b) Calculate (Using the appropriate statistical tables) the probability that a randomly selected man has a weight of less than 105kg.

c) Verify your answer to part b using the appropriate EXCEL function, by providing the function with correct argument and the answer.

d) Determine (Using the appropriate statistical tables ) the percentage of health male population that has a weight within 20kg of the mean.

e) Determine (Using the appropriate statistical tables) the weight that 90% of healthy males would exceed.

f) State the distribution and the parameters for the mean weight (X) of a random sample of 16 healthy males.

g) Use answer to part f. to determine the probability that a random sample of 16 healthy males that enter a lift exceed the maximum load lift , which is 1,600kg.