1. A committee consisting of 5 members will be formed from 6 males and 4 females. If Xis the number of females in the committee, find the probability distribution of X.

2. The lifespan of a calculator manufactured by a certain company has a normal distribution with a mean of 54 months and a standard deviation of 8 months.

a) If 20,000 calculators were manufactured this week, how many of these are calculators are expected to have a lifespan between 40 and 60 months?

3. If X is normally distributed and P (X < 20) = 0.5 and P (X >26) = 0.0228, find the mean and standard deviation of X.