Exam 5: Discrete Probability Distributions

If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20. The cost to play the game is $5. What is the expectation of this game?

A multiple choice quiz consists of 50 questions, each with 4 possible answers. Find the mean for the number of correct answers, if a student guesses on each question.

The failure rate for taking the bar exam in Philadelphia is 41%. If 375 people take the bar exam, what is the mean for the number of failures?

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

If there are 20 typographical errors randomly distributed in a 250-page document, find the probability that a given page contains exactly two errors.

In the instructor's answer book for a mathematics text, 10% of the answers are incorrect. Use the Poisson approximation to express the probability that there are exactly 2 incorrect answers for a homework set with 50 problems.

Find the mean of the distribution shown.

For the following data, construct a graph showing the probability distribution.

In a survey, 55% of the voters support a particular referendum. If 30 voters are chosen at random, find the mean and variance for the number of voters who support the referendum.

Find the variance for the values of n and p when the conditions for the binomial distribution are met. N = 500, p = 0.75

Compute the probability of X successes. N = 4, X = 2, p = 0.55

Find the mean of the distribution shown below.

Which of the following variables are discrete? i. the depth of a submarine ii. the number of torpedoes on a submarine iii. the speed of the submarine

What is the standard deviation of the following probability distribution?

The figure below represents the probability distribution for selecting a number of objects out of a container. Construct a probability distribution from this graph.

In a survey, 60% of the voters support a particular referendum. If 40 voters are chosen at random, find the standard deviation of the number of voters who support the referendum.

The number of song requests a radio station receives per day is indicated in the table below. Construct a graph for this data.

A(n) __________ probability distribution consists of the finite number of values a random variable can assume and the corresponding probabilities of the values.

Which of the following variables are continuous? i. an automobile's gas mileage ii. the air pressure in an automobile's spare tire iii. an automobile's sticker price

A certain type of battery has a 0.5% failure rate. Find the probability that a shipment of 1,000 batteries has more than two defective batteries.