Exam 5: Probability, Normal Distributions, and Z Scores

Below is the probability distribution for the number of times students had to take the same exam before passing it.What is the value at the second standard deviation above the mean for this probability distribution?

A gambler rolls a 3 with one roll of a single fair die.Given that the die was six-sided,what was the probability of rolling a 3 with one roll?

The total number of possible outcomes for a random variable is referred to as

The multiplicative rule is used to define mutually exclusive outcomes.

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

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

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?

The expected value of a random variable can be thought of as a "long-term" mean.

While the expected value of the mean estimates the average outcome,the standard deviation of a probability distribution estimates the distance that all other outcomes deviate from the mean.

Complementary outcomes are exhaustive of all possible outcomes.

The following are six random outcomes for a sample space: -1,-3,-3,-2,-5,and -6.What is the probability of selecting a -3 in this example?

Each of the following is an example of a binomial distribution,except

Two outcomes are said to be mutually exclusive when

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

Bayes' theorem is a conditional probability formula.

The proportion or fraction of times an outcome is likely to occur is referred to as

The probability of a team having a sellout crowd is p = .45.The probability of having a sellout crowd and the team winning is p = .32.Hence,the probability of a team winning,given that they have a sellout crowd,is

The relative frequency of an outcome is the probability of its occurrence.

A researcher has participants choose between three advertisements.She finds that 54 prefer Ad A,86 prefer Ad B,and 60 prefer Ad C.The probability or proportion of participants preferring Ad B is

When the sum of the probabilities of two outcomes is exhaustive of all possible outcomes,these outcomes are referred to as