Exam 5: Probability

A therapist goes through her records and finds that 200 of her 400 patients showed significant improvement in mental health over the past year.Hence,the probability of her patients showing significant improvement in mental health is ______.

The probability of a student attending every college class is p = .26.The probability of a student attending every college class and earning an A is p = .22.Hence,the probability of a student earning an A,given that he or she attends every college class,is ______.

Probability distributions display the probability of each possible outcome for a given random variable.

The sample space is equal to the total number of random outcomes possible for a random variable.

A researcher records the number of job openings among small businesses.She finds that the probability that a small business has 0 job openings is p = .22; 1 job opening is p = .45; 2 job openings is p = .08; and 3 job openings is p = .25.What is the probability that a small business has at least 2 job openings?

Bayes's theorem is often applied to a variety of conditional probability situations,including those related to statistical inference.

The following probability distribution for outcomes 0,1,2,and 3,respectively,is possible: 18/30,3/30,4/30,and 5/30.

A news poll showed that voters had no preference for either of three candidates.In this example,the probability of a vote for,say,Candidate A equals ______.

The mean of a probability distribution is called the

Below is the probability distribution for random variable x.What is the standard deviation of this probability distribution?

Bayes's theorem is often applied to a variety of ______ probability situations,including those related to statistical inference.

The probability of a college student being employed is p = .35.The probability of a student being employed and dropping out of college is p = .20.Hence,the probability of a student dropping out of college,given that he or she is employed,is ______.

If the variance of a probability distribution is 121,then the standard deviation is ______.

A researcher determines that the probability of winning a new game is p = .32.Assuming winning and losing are mutually exclusive events,what is the probability of winning and losing the new game?

A professor records the grades for his class students.He finds that the probability that a student earns an A is p = .14; earns a B is p = .36; earns a C is p = .32; earns a D is p = .10; and earns an F is p = .08.What is the probability that a student earns a B or better in this class?

A researcher visits a population of 1,200 local residents to determine the proportion of local residents who support a new smoking ban.In this case,the sample space is

Below is the probability distribution for random variable x.Which of the following is most probable?

Bayes's theorem is a conditional probability formula.

Below is the probability distribution for the number of times students had to take the same exam before passing it.If a student must pass the exam in two tries or less to pass the class,then what is the probability of passing the class?

The probability of an outcome can be any positive value.