Senior high school students are randomly selected to gather data on the hours spent per day playing mobile games. The table below shows the probability distribution of X-hours spent playing mobile games. Probability Distribution of X Length (in hours) 0 1 2 3 4 5 6 Probability 0.012 0.062 0.281 0.326 ? 0.112 0.083 A. Find the missing value for P(X=4) in the given probability distribution. [Select] B. Find the expected value of X, round to the nearest hundredth. [Select]
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![Senior high school students are randomly selected to gather data on the hours spent per day playing mobile
games. The table below shows the probability distribution of X=hours spent playing mobile games.
Probability Distribution of X
Length (in
hours)
0
1
2
3
4
5
6
Probability
0.012
0.062
0.281
0.326
?
0.112
0.083
A. Find the missing value for P(X=4) in the given probability distribution. [Select]
B. Find the expected value of X, round to the nearest hundredth. [Select ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d9e55b7-c531-4478-877a-a98a4a86313f%2F9916e6c3-73f6-4c0a-98fd-bf6930a45518%2Fvh7wyz9_processed.jpeg&w=3840&q=75)
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- Each unit of a product produced and sold earns a profit of $ 50 and un- $ 30. The probability distribution is given below : sold units result into a loss of Units Demanded : 1 2 3 0.3 Probability () Compute how many units should be sold to earn maximum profit, and (i) Calculate EPPI and EVPI. : 0.2 0.2 0.25A 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…College students are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they take one or more online courses. 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. Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x is categorical instead of numerical. D. No, the numerical values of the random variable x are not associated with probabilities. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. H= students (Round to one decimal place as needed.) O B.…
- 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. X 4 O 0 P(X=x) 0.0857 2 0.3208 3 0.2415 0.2447 0.1073 i ne mean number of children in a family with four girls iS b. Obtain the standard deviation of the random variable. 0= 1.1209 (Round to four decimal places as needed.) c. Construct a probability histogram for the random variable; locate the mean; and show one-, two-, and three-standard-deviation intervals. Choose the correct histogram below. B. O C. D. Number of Girls Number of Girls Number of Girls Number of Girls 0.5- 0.5- 0.4- 0.3- 0.4- 0.5- 0.4- 0.3- 0.2- 0.1- 0.3- 0.2- 0.2- n 0.1- 0.1- 0 0012 0 1 2 3 4 01234 01234 01234 The mean is 2.0400. (Type an integer or decimal rounded to four decimal places as needed.) The one-standard-deviation interval is.. the…Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.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. Does the table show a probability distribution? Select all that apply. OA. H= adult(s) (Round to one decimal place as needed.) OB. The table does not show a probability distribution. an example # 3 A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, not every probability is between 0 and 1 inclusive. D. No, the random variable x is categorical instead of numerical. E. No, the sum of all the probabilities is not equal to 1. Find the mean of the random variable x. Select the correct choice below…
- The joint probability distribution of the number X of cars and the number Y of buses per signal cycle at a proposed left-turn lane is displayed in the accompanying joint probability table below. y P(xy) 1 2. 0. .025 .015 .010 .050 .030 020 2. .125 .075 050 3. 150 090 060 4. 100 .060 040 050 .030 .020 Suppose the left-turn lane is to have a capacity of six cars, and that one bus is equivalent to three cars. What is the probability of an overflow duringa cycle? Select one: O 48 O 28 O38 0.18High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?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
- College students are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they take one or more online courses. 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. Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the numerical values of the random variable x are not associated with probabilities. C. No, the random variable x is categorical instead of numerical. D. No, the sum of all the probabilities is not equal to 1. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. μ= students (Round to one decimal place as needed.) OB.…Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows. x 1 2 3 4 5 Px 0.68 0.14 0.08 0.02 0.08 Send data to Excel Part 1 of 7 (a) Find P1 . P1 = .68 Part 2 of 7 (b) Find P (greater than or equal to 2 ). P (greater than or equal to 2 ) = .32 Part 3 of 7 (c) Find the probability that a car has only one occupant. The probability that a car has only one occupant is . Part 4 of 7 (d) Find the probability that a car has fewer than four occupants. The probability that a car has fewer than four occupants is . Part 5 of 7 (e) Compute the mean μx .…Rem. A concerned parents group determined the number of commercials shown in each of the five children's programs over a period of time. Num of Commercials P(X = x 1.824 0.078 2.081 0.05 2.338 0.101 2.595 0.134 2.852 0.07 3.109 0.567 Consider the probability distribution table above. Determine the following: (a) Determine the mean = (b) Determine the Standard Deviation
