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Exam 3: Probability

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Question 71

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If an employee is selected at random what is the probability that the employee is a member of the faculty?

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Question 72

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What proportion of the males are majoring in zoology?

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Question 73

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At a large school,70 percent of the students are women and 50 percent of the students receive a grade of C.25 percent of the students are neither female nor C students.Use the following contingency table. $\begin{array} { l c c c } & \mathrm { C } & \overline { \mathrm { C } } & \\\text { Women } & .45 & .25 & .70 \\\text { Men } & .05 & .25 & .30 \\& .50 & .50 & 1.00\end{array}$ -What is the probability that a student is female and a C student?

Suppose P(A)= .45,P(B)= .20,P(C)= .35,P(E | A)= .10,P(E | B)= .05,and P(E | C)= 0.What is P (C | E)?

Probabilities must be assigned to experimental outcomes so that the probabilities of all the experimental outcomes must add up to ___.

If the student is male,what is the probability he is a C student?

Are the events "owning a fax machine" and "owning a personal computer" independent? Why or why not?

If an employee is selected at random what is the probability that the employee is female or works as an hourly staff member?

You just purchased a dinner and found that there is no napkin in your bag,what is the probability that Jan has prepared your order.

Events that have no sample space outcomes in common,and therefore,cannot occur simultaneously are _____.

If a product is made using five individual components,and the product meets specifications with probability.98,what is the probability of an individual component meeting specifications? You may assume that all five components have the same probability of meeting specifications independently of each other.

A(n) ____________ is the probability that one event will occur given that we know that another event already has occurred.

The alternatives 1 and 2 in the following payoff table represent the two possible manufacturing strategies that the EKA manufacturing company can adopt.The level of demand affects the success of both strategies.The states of nature (S_i)represent the levels of demand for the company products.S₁,S₂ and S₃ characterize high,medium,and low demand,respectively.The payoff values are in thousands of dollars. $\begin{array} { l c c c } & { \text { States of nature } } \\& \mathrm { s } _ { 1 } & \mathrm {~s} _ { 2 } & \mathrm {~s} _ { 3 } \\\text { Alternative (strategy) 1 } & 10 & 80 & 70 \\\text { Alternative (strategy) 2 } & 60 & 120 & 50\end{array}$ The management believes that the weather conditions significantly affect the level of demand.48 monthly sales reports are randomly selected.These monthly sales reports showed 15 months with high demand,28 months with medium demand,and 5 months with low demand.12 of the 15 months with high demand had favorable weather conditions.14 of the 28 months with medium demand had favorable weather conditions.Only 1 of the 5 months with low demand had favorable weather conditions. -What is the probability that weather conditions are poor,given that the demand is high? What is the probability that weather conditions are poor,given that the demand is medium? What is the probability that weather conditions are poor,given that the demand is low?

If you roll a fair die,what is the probability that an even number of dots appear?

When the probability of one event is not influenced by whether or not another event occurs,the events are said to be _____.

Are the events "female/not female" and "belongs to a Greek organization" independent?

A survey is made in a neighborhood of 80 voters.65 were Liberal and 15 were Conservative (none claimed to support another political party).Of the Liberals,35 are women,while 5 of the Conservatives are women.One subject from the group is randomly selected. -What is the probability that the individual is either a woman or a Liberal?

In a large organization,55% of all employees are female,25% of the employees have a business degree,and 40% of all males have a business degree.What is the probability that one randomly selected employee will be either a female or have a business degree?

Container 1 has 8 items,3 of which are defective.Container 2 has 5 items,2 of which are defective.One item is selected at random from each container.What is the probability that exactly one of the two items is defective?

The set of all possible experimental outcomes is called a(n) _____.