statistics distrbutions

STATISTICS-DISTRIBUTIONS HW

GRADED 5%

Binomial Distribution

1. A statistician working for major league baseball determined the probability that the hitter will be out on ground balls to be 0.80. In a game where there are 15 ground balls, find the probability that all of these were outs.

Poisson Distribution

2. Flaws in a material tend to occur randomly and independently at a rate of one every 250 square feet. What is the probability that a carpet that is 8 x 10 feet contains no flaws?

Normal Distribution

3. The lifetimes of light bulbs that are advertised to last for 4000 hours are normally distributed with a mean of 4200 hours and a standard deviation of 175 hours. What is the probability that a bulb lasts longer than the advertised figure?

Student t-test

4. Use the t-table (p.288) to find the following values of t.

a.