Exam 11: Probability and Statistics

The metropolitan airport commission is considering the establishment of limitations on noise pollution around a local airport. At the present time, the noise level per jet takeoff in one neighborhood near the airport is approximately normally distributed with a mean of 100 decibels and a standard deviation of 3 decibels. What is the probability that a randomly selected jet will generate a noise level of more than 105 decibels?

The area under the normal curve represents probability.

The ________ and variance are derived from a subset of the population data and are used to make inferences about the population.

One of the properties of the ________ distribution is that the probability of success remains constant over time.

A ________ probability is the probability that an event will occur given that another event has already occurred.

________ is a measure of the dispersion of random variable values about the expected value or mean.

If X has the following probability distribution X 1 2 3 4 P(X) .1 .5 .2 .2 Compute the expected value of X.

Two psychology majors, in two different sections of Clinical Psychology, were comparing test scores. The following gives the students' scores, class mean, and standard deviation for each section: Section 1 Section 2 Student score 84 75 Mean 75 60 Standard deviation 7 8 -What is the z-score of the student from section 1 and what is the probability that a student in section 1 will score higher than 84?

An experiment is an activity that results in one of several possible outcomes.

The term for including all possible events that can occur in an experiment is ________.

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. Find the probability that a randomly selected college student will take between 2 and 6 minutes to find a parking spot in the main parking lot.

________ can enable one to improve marginal probabilities of the occurrence of an event by gathering additional information.

For a standard normal distribution, what is the probability that z is greater than 1.75?

The owner of a seafood market determined that the average weight for a crab is 1.6 pounds with a standard deviation of 0.4 pound. What weight is exceeded by 2% of all of the crabs? (Assume the weights are normally distributed.)

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 larger than 21 oz?

Jim is considering pursuing an MS in Information Systems degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 20% for University X and 45% for University Y. -What is the probability that Jim will be accepted at both universities?

A continuous random variable can take on a(n) ________ number of values within a given interval.

A normally distributed random variable has a mean of zero and a standard deviation of one.

A ________ probability is the probability of a single event occurring.

The owner of a seafood market determined that the average weight for a crab is 1.6 pounds with a standard deviation of 0.4 pound. Assuming the weights of crabs are normally distributed, what is the probability that a randomly selected crab will weigh between 1 and 2 pounds?