a) A warehouse employs 24 workers on first shift and 17 workers on second shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing- all first-shift workers.- six first-shift workers.- four second-shift workers. b) Twelve people compete in a downhill ski race. Assuming that there are no ties, in how many different ways to select the first three finishers out of twelve skiers? c) A restaurant offers a dinner special that lets you choose from 8 entrees, 7 side dishes, and 5 desserts. You can choose one entrée, one side dish, and two desserts. How many different meals arepossible. d) A jury consists of ten men and five women. Five jury members are selected at random for aninterview. Find the probability of choosing three men and two women. e) A test consists of 10 multiple choice questions, each with five possible answers, one of which is correct. To pass the test a student must get 60% or better on the test. If a student randomly guesses, what is the probability that the student will pass the test? f) A test consists of 10 multiple choice questions, each with five possible answers, one of which is correct. If a student randomly guesses, what is the probability that the student will get at most 8 answers correctly?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
a) A warehouse employs 24 workers on first shift and 17 workers on second shift. Eight workers are chosen at random to be interviewed about the work environment. Find the
- all first-shift workers.
- six first-shift workers.
- four second-shift workers.
b) Twelve people compete in a downhill ski race. Assuming that there are no ties, in how many different ways to select the first three finishers out of twelve skiers?
c) A restaurant offers a dinner special that lets you choose from 8 entrees, 7 side dishes, and 5 desserts. You can choose one entrée, one side dish, and two desserts. How many different meals are
possible.
d) A jury consists of ten men and five women. Five jury members are selected at random for an
interview. Find the probability of choosing three men and two women.
e) A test consists of 10 multiple choice questions, each with five possible answers, one of which is correct. To pass the test a student must get 60% or better on the test. If a student randomly guesses, what is the probability that the student will pass the test?
f) A test consists of 10 multiple choice questions, each with five possible answers, one of which is correct. If a student randomly guesses, what is the probability that the student will get at most 8 answers correctly?
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