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?
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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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?
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