The time required to complete a tutorial is approximately normally distributed with a mean of 12 minutes and a variance of 3.24 minutes. For complete a tutorial, calculate the probability that it will take,

a) less than 16 minutes.

b) at least 9 minutes.

c) more than 13 minutes.

d) between 10 minutes and 15 minutes.

General probability distribution: Mean or expected value u = E(X) = EX . P(X) Variance 0 = E ( X-/). P(X) Standard deviation o = Vo2 Binomial Distribution: Mean u = n. p Variance 62 = n .p. q Standard deviation = n. p. q X n-X Probability P(X) = "cr.p q for OSX Sn Poisson Distribution: var(x) = ProbabilityP (x) = - x ! for x = 0, 1, 2, 3 ... ... Normal Distribution Probability z =