Solve the following using Binomial Distribution. See formula sheet.

1.A manufacturer of halogen bulbs knows that 3% of the production of their 100 W bulbs will be defective. What is the probability that exactly 5 bulbs in a carton of 144 bulbs will be defective?

2.A packet of vegetable seeds has a germination rate of 96%. What is the probability that exactly 10 of 12 seeds planted will sprout?

Find the z-score and the probability using the normal distribution. See the formula sheet.

1.The Welcher Adult Intelligence Test Scale is composed of several subtests. On one subtest, the raw scores have a mean of 35 and a standard deviation of 6. Assuming these raw scores form a normal distribution:

a.What number represents the 65th percentile (what number separates the lower 65% of the distribution)?

b.What number represents the 90th percentile?

c.What is the probability of getting a raw score between 28 and 38?

d.What is the probability of getting a raw score between 41 and 44?

2.Scores on the SAT form a normal distribution with m = 500 and s = 100.

a.What is the minimum score necessary to be in the top 15% of the SAT distribution?

b.Find the range of values that defines the middle 80% of the distribution of SAT scores (372 and 628).

Given an approximately normal distribution with a mean of 159 and a standard deviation of 70. a) What percent of values are within the interval (89, 299)? b) 1What percent of values are within the interval (19, 159)? c) What interval contains 99.7% of all values? d) What percent of values are above 229? \f