8. It is usually written using a capital letter, is a variable that assigns a numerical value to each outcome of a random event. a. Discrete Random Variable Probability b. Continuous Random Variable c. Random Variable 19. A measure of spread for a distribution of a random variable that determines the degree to which the values of a random variable differ from the expected value. a. Standard Deviation b. Variance c. Mean d. Probability 20. If the standard deviation of a discrete probability distribution is 8.4, what is the value of the variance? a. 76.83 b. 70.56 c. 67.28 d. 52.90 21. The sum of all the individual probabilities in the distribution is equal to _____. a. 0 b. 3 c. 1 d. 2 22. The square root of the variance is equal to the _________________________. a. Probability b. Standard Deviation c. Mean d. Variance 23. It assumes an infinite number of possible values including the decimal between two counting numbers. a. Probability b. Discrete Random Variable c. Random Variable d. Continuous Random Variabl

8. It is usually written using a capital letter, is a variable that assigns a numerical value to each outcome of a random event. a. Discrete Random Variable Probability b. Continuous Random Variable c. Random Variable 19. A measure of spread for a distribution of a random variable that determines the degree to which the values of a random variable differ from the expected value. a. Standard Deviation b. Variance c. Mean d. Probability 20. If the standard deviation of a discrete probability distribution is 8.4, what is the value of the variance? a. 76.83 b. 70.56 c. 67.28 d. 52.90 21. The sum of all the individual probabilities in the distribution is equal to _. a. 0 b. 3 c. 1 d. 2 22. The square root of the variance is equal to the _____________________. a. Probability b. Standard Deviation c. Mean d. Variance 23. It assumes an infinite number of possible values including the decimal between two counting numbers. a. Probability b. Discrete Random Variable c. Random Variable d. Continuous Random Variabl

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A random variable follows the normal probability distribution with a mean of 128 and a standard deviation of 25. Complete parts (a) through (d) below. Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard normal probability table. a) What is the probability that a randomly selected value from this population is between 108 and 142? (Round to four decimal places as needed.)
1. The number of defective parts of a machine with its corresponding probabilities is shown below. Compute for the mean and variance. Number of defective parts (X) Probability P(x) 2 10 3 10 10 10 2. The number of computers sold per day at a local computer store, along with its corresponding probabilities, is shown in the table. Find the mean and the variance of the probability distribution. Number of Items Sold (X) Probability P(X) 0.1 0.2 0.3 0.2 4 0.2
Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X - N( 79 5 or or b. If one car is randomly chosen, find the probability that it is traveling more than 78 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 86 mph. Round to 4 decimal places.
Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 10 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X - N( b. If one car is randomly chosen, find the probability that it is traveling more than 79 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 83 and 86 mph. Round to 4 decimal places.
The probability is 0.4 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) b. The probability that between two and four…
23. Cholesterol Content The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard deviation is 15 milligrams. Assunme the vari- able is normally distributed. a. If a single egg is selected, find the probability that the cholesterol content will be greater than 220 milligrams. b. If a sample of 25 eggs is selected, find the probabil- ity that the mean of the sample will be larger than 220 milligrams.
4. A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken. a. What is the distribution for the weights of one 25-pound lifting weight? What is the mean and standard deviation? b. What is the distribution for the mean weight of 100 25-pound lifting weights? c. Find the probability that the mean actual weight for the 100 weights is less than 24.9. 1 I
6. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.11 oz. a. Find the probability that a single can of Coke has at least 12.19 oz. b. Find the probability that a pack of 36 cans of Coke have a mean of at least 12.19 oz. c. Suppose you measured the cans of a random 36-pack and got a sample mean of 12.19 oz. Is it reasonable to assume that the actual population mean is 12.00 oz? Why or why not?
A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied, P(x) O 0.086 0.326 0.414 0.174 Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. O B. No, the sum of all the probabilities is not equal to 1. O C. No, the random variable x's number values are not associated with probabilities. O D. No, the random variable x is categorical instead of numerical. O E. No, not every probability is between 0 and 1 inclusive.
8. Describes the probability of a particular outcome in a series of experiment where the outcome has two distinct possibilities, success or failure. A. Exponential distribution B. Normal distribution C. Probability distribution D. Binomial distribution
III. SAMPLING AND SAMPLING DISTRIBUTIONS Assume that the systolic blood pressure of 30-year-old males is normally distributed, with an average of 122 mmHg and a standard deviation of 10 mmHg. а. b. Calculate the probability that the blood pressure of an individual male from this population will be between 118 and 124 mmHg.