Exam 5: Discrete Probability Distributions

If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct. Each question has four possible choices.

A school is sending 17 children to a camp. If 20% of the children in the school are first graders, and the 17 children are selected at random from among all 6 grades at the school, find the mean and variance of the number of first graders chosen?

Find the mean for the values of n and p when the conditions for the binomial distribution are met. N = 700, p = 0.45

The probability of a success remains the same for each trial in a binomial experiment.

Find the mean of the distribution shown below.

If 1.5% of the bolts made by an automotive factory are defective, what is the probability that in a shipment of 200 bolts, there are 6 defective bolts?

A pet supplier has a stock of parakeets of which 20% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet?

The probability that a person will have 0, 1, or 2 dental checkups per year is 0.3, 0.6, and 0.1, respectively. If seven people are picked at random, what is the probability that two will have no checkups, four will have one checkup, and one will have two checkups in the next year?

The formula for the variance of a probability distribution is __________.

A binomial distribution is the probabilities of the possible outcomes of a binomial experiment.

A university has 10,000 students of which 45% are male and 55% are female. If a class of 30 students is chosen at random from the university population, find the mean and variance of the number of male students.

Find the probability : P(5, 6)

A student takes a 10-question, multiple-choice exam with three choices for each question and guesses on each question. Find the probability of guessing exactly 4 out of 10 correctly.

Use the multinomial formula and find the probability for the following data.

A survey of 11 people at a bookstore showed that five had purchased a hardcover book. If seven people are selected at random, what is the probability that four of them had purchased a hardcover book?

In a binomial experiment, the outcome of each trial will depend on the ones before it.

A school club consists of 30 male students and 13 female students. If 3 students are selected to represent the club in the student government, what is the probability 1 will be male and 2 will be female?

The sum of the probabilities of all the events in the sample space of a probability distribution must equal 1.

A student takes a 6 question multiple choice quiz with 4 choices for each question. If the student guesses at random on each question, what is the probability that the student gets exactly 4 questions correct?

A certain large manufacturing facility produces 20,000 parts each week. The manager of the facility estimates that about 1% of the parts they make are defective. What is the variance for the number of defective parts made each week?