Exam 11: Probability and Statistics

In a given experiment the probabilities of mutually exclusive events sum to:

A company markets educational software products, and is ready to place three new products on the market. Past experience has shown that for this particular software, the chance of "success" is 80%. Assume that the probability of success is independent for each product. -Find the probability that none of the 3 products is successful.

The Dean's Office keeps tracks of student complaints received each week. The probability distribution for complaints can be represented as a table as shown below. The random variable xi represents the number of complaints, and p(xi) is the probability of receiving xi complaints. -A fair die is rolled 8 times. What is the probability that an even number (2, 4, or 6) will occur between 2 and 4 times?

The ________ test is a statistical test to see if an observed data fit a particular probability distribution.

________ techniques assume that no uncertainty exists in model parameters.

Objective probabilities that can be stated prior to the occurrence of an event are

Employees of a local company are classified according to gender and job type. The following table summarizes the number of people in each job category. Administrative (AD) 110 10 Salaried staff (SS) 30 50 Hourly staff (HS) 60 40 If an employee is selected at random, what is the probability that the employee is female or works as a member of the administration?

For some positive value of Z, the probability that a standard normal variable is between 0 and Z is 0.3554. The value of Z is:

A ________ probability is the altered marginal probability of an event based on additional information.

The Dean's Office keeps tracks of student complaints received each week. The probability distribution for complaints can be represented as a table as shown below. The random variable xi represents the number of complaints, and p(xi) is the probability of receiving xi complaints. -What is the average number of complaints received per week?

There is just as great a chance of a normally distributed random variable being over one standard deviation above the mean as there is being one standard deviation below the mean.

A ________ organizes numerical data to describe the events of an experiment.

In a given experiment, the probabilities of all mutually exclusive events sum to one.

For some positive value of Z, the probability that a standard normal variable is between 0 and Z is 0.2910. The value of Z is:

A research scientist has observed the monkeys of the Nandi Hills outside of Bangalore for the last twenty years, carefully cataloging their preferences for a number of food items. An unsuspecting tourist leaves his can of soda unattended. Describe the type of probability the research scientist can assign to the likelihood that the soda will become the monkey's next meal. Then contrast this type of probability with the other of the two basic types.

The weight of a loaf of bread is normally distributed with a mean of 22 oz and a standard deviation of 0.5 oz. What is the probability that a loaf is between 20.75 and 23.25 oz?

If events A and B are independent, then P(A|B) = ________.

The ________ of a random variable is computed by multiplying each possible value of the variable by its probability and summing these products.

A succession of events that do not affect each other are ________.

Assume that it takes a college student an average of 5 minutes to find a parking spot in the main parking lot. Assume also that this time is normally distributed with a standard deviation of 2 minutes. What time is exceeded by approximately 75% of the college students when trying to find a parking spot in the main parking lot?