Mean (E(x)) = np St. dev=Given the number of trials and the probability of success, find the mean, standard deviation1.n =12, p = 0.22. n = 20, p = 0.5In addition, find the indicated probabilities3. n =11, p = 0.05, find P(3 failures)4. n = 6, p = 0. 35, find P(at least 3 successes)5. A basketball player has a 60% chance of making each free throw. What is the probability that the player makes exactly three out of six free throws?6. The manufacturing sector contributes 17% of Canadas gross domestic product. A customer orders 50 components from a factory that has a 99% quality production rate (99% of the products are defect-free). Find the probability that:a) none of the components in the order are defectiveb) there is at least one defective product in the order.c) There are at least two defective products in the order.d) Expected number of defective parts.7. Approximately 3% of the eggs in a store are cracked. If you buy two dozen eggs, what is the probability thata) none of your eggs are crackedb) at least one of your eggs is crackedc) exactly two of your eggs are crackedd) Expected number of cracked eggse) Expected number of uncracked eggs8. 30% of Elm trees have a certain disease. If you sample 80 elm trees, what is the probability thata) less than 20 trees will have the disease?b) more than 35 trees will have the disease?c) what is the probability that between 20 and 35 (20 and 35 included) of the trees will have the disease?

The time needed for college students to complete a certain paper and pencil maze follows a Normal distribution, with a mean of 80 seconds and a standard deviation of  6 seconds. You wish to see if the mean time  is changed by meditation, so you have a group of 8 college students meditate for 30 minutes and then complete the maze. It takes them an average of  = 74 seconds to complete the maze. Use this information to test the hypotheses H 0:  = 80, H a:   80 at significance level  = 0.02. You conclude that:   a. H0 should not be rejected.   b. Ha should be accepted.   c. H0 should be rejected.   d. this is a borderline case and no decision should be made.   The scores on the Wechsler Adult Intelligence Scale are approximately Normal, with  = 100 and  = 11. The proportion of adults with scores above 110 is closest to:   a. 0.14.   b. 0.25.   c. 0.33.   d. 0.18.

Arsenic is a compound that occurs naturally in very low concentrations. Arsenic blood concentrations in healthy adults are Normally distributed, with mean ?=3.2 micrograms per deciliter (?g/dl) and standard deviation ?=1.5 μg/dl . What is the range of arsenic blood concentrations corresponding to the middle 90% of healthy adults? Use Table B or technology to find the proper values

IQ is normally distributed with a mean of 100 and a standard deviation of 16. A local school is considering what its minimum IQ score should be for admission. What should the minimum IQ score be so that 90% of all students in the area can qualify for admission? How can I calculate this using Excel or by hand