The owner of a local movie theater keeps track of the number of tickets sold in each purchase and makes a probability distribution based on these records. Let X represent the number of tickets bought in one purchase. The distribution for X is given in the table.   What is the expected value of the distribution? 2 2.1 2.5 3

The number of sodas a vendor sells daily has the probability distribution represented in the table. Number of Sodas, x 0 P(x) 5 10 15 20 25 0.01 0.15 0.25 0.3 0.25 0.04 If each soda sells for $2.50, what is the expected daily total dollar amount taken in by the vendor from the sale of sodas? $2.50 O $13.75 $14.50 $34.38 $39.42

On average, you receive 2.6 pieces of junk mail a day. Assume that the number of pieces of junk mail you receive each day follows the Poisson distribution. What is the probability that you receive exactly three pieces of junk mail today? A 0.2196 B 0.2167 C 0.1276 D 0.2176

The probability distribution given describes the number of thunderstorms that a certain town may experience during the month of August. Let X represent the number of thunderstorms in August. Calculate the expected value (EX). X=# of storms 0 1 2 3 p(x) 0.1 0.2 0.4 0.3   A.   1.9 B.   1.5 C.    1.8 D.    2

A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 0.7, 1.4, 2.1, or 2.8 hours. The different types of malfunctions occur at the same frequency. If required, round your answers to two decimal places. a. Develop a probability distribution for the duration of a service call. Duration of Call f(a) 0.7 1.4 2.1 2.8 b. Which of the following probablity distribution graphs accurately represents the data set? 2. fx) 0.304 0.304 0.20 0.20 0.10- 0.10 0 0.7 14 2.1 2.8 O 0.7 14 2.1 2.8 3. fx) 0.304 0.20 0.10 0.7 1.4 2.1 2.8 |- Select your answer - c. Consider the required conditions for a discrete probability function, shown below. f(x) 20 (5.1) Ef(e) = 1 (5.2) Does this probability distribution satisfy equation (5.1)? - Select your answer - Does this probability distribution satisfy equation (5.2)? - Select your answer- d. What is the probability a service call will take 2.1 hours? e. A service call has just…

You roll five fair six-sided dice. Let X denote the sum of the numbers shown. Compute the expectation and the variance of X.

A family has three children. If the genders of these children are listed in the order they are born, there are eight possible outcomes: BBB, BBG, BGB, BGG, GBB, GBG, GGB, and GGG. Assume these outcomes are equally likely. Let X represent the number of children that are girls. Find the probability distribution of X.

ols A census collected data on everyone that lived in a certain small town. The random variable X is the number of girls born to a randomly selected couple in that town who has four children. Its probability distribution is shown below. Complete parts a through c. 0 0 1 0.2447 2 0.3208 3 0.2415 4 0.1073 P(X=x) 0.0857 ... a. Find and interpret the mean of the random variable. =(Round to four decimal places as needed.) View an example Help me solve this Get more help. F5 A MacBook Air F6 F7 DII Clear all FB F9 I Check answer F10 F11

The accompanying table lists the outcomes and the probability distribution for a student renting videos during the week while on campus. Video Rentals per Week during Semester Outcome (number of O weekly video rentals) Probability distribution Outcome 0 (number of weekly video rentals) Probability distribution 1 0 69.81 2 Write the cumulative probability distribution in the table below. Use two decimal places. 3 1.81 4 0.05 0.55 0.25 0.05 0.07 0.02 0.01 Hint: Write your answers in two decimal places. 5 8 The probability of renting between two and four videos a week is 126.95 60 57.14 5 25 600 and the probability of renting less than three a week is

Relax! A recent survey asked  1682  people how many hours per day they were able to relax. The results are presented in the following table. Number of Hours Frequency 0 113 1 184 2 336 3 251 4 318 5 234 6 151 7 35 8 60 Total 1682 Send data to Excel Consider these 1682 people to be a population. Let  X  be the number of hours of relaxation for a person sampled at random from this population.   Part 1 of 5     (a) Construct the probability distribution of  X . Round the answer to three decimal places. x 0 1 2 3 4 5 6 7 8 P ( x )                         Part 2 of 5     (b) Find the probability that a person relaxes more than  4  hours per day. The probability that a person relaxes more than  4  hours per day is…