The discrete random variable \( X \) is the number of passengers waiting at a bus stop. The table below shows the probability distribution for \( X \). What is the expected value \( E(X) \) for this distribution?| \( X \) | 0 | 1 | 2 | 3 | Total ||---------|----|----|----|----|-------|| \( P(X) \) | 0.40 | 0.30 | 0.20 | 0.10 | 1.00 |**Multiple Choice:**- ○ 11- ○ 1.3- ○ 1.7- ○ 1.9Explanation: The table represents a probability distribution where:- \( X \) represents the number of passengers.- \( P(X) \) represents the probability of each number of passengers occurring.To find the expected value \( E(X) \), calculate the sum of the products of each value of \( X \) and its corresponding probability \( P(X) \).

The given data is: x P(x) 0 0.4 1 0.3 2 0.2 3 0.1 Total 1 To calculate E(x):…

Answered: The discrete random variable X is the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.
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High 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 random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts a through c. 2 5 6 7 8 D 4 0.045 0.306 P(X=x) 0.025 0.187 0.431 0.006 ... a. Find and interpret the mean of the random variable. μ= 5.947 (Round to three decimal places as needed.) Interpret the mean. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) A. The average number of persons in a shuttle crew is 5.947 person(s). OB. The most common number of persons in a shuttle crew is person(s). b. Obtain the standard deviation of the random variable. O (Round to three decimal places as needed.) Check answer Help me solve this View an example Get more help. 30 20 F10 F4 MacBook Air F6 DII FB Clear all DD F9
Determine the required value of the missing probability to make the distribution a discrete probability distribution. Р(x) 3 0.24 4 ? 0.22 0.26 P(4) = (Type an integer or a decimal.)
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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
3. 01:26:35 The following two-way table shows the distribution of daily traffic and weather issues in a certain large city. Suppose a day from this city is selected at random. Let event A = heavy traffic and event B = bad weather. Are events A and B independent? Daily Traffic No, P(A) = P(B|A). Нeavy Traffic Light Traffic Total O No, P(A) + P(A|B). O Yes, P(A) = P(A|B). O Yes, P(A) + P(B|A). Bad Weather 25 30 Good Weather 55 15 75 Total 80 20 100 Weather Conditions
How do I find the mean?
Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(x) 0.18 0.41 6 0.16 P(4) = (Type an integer or a decimal.) Enter your answer in the answer box. M Chp esc

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The discrete random variable X is the number of passengers waiting at a bus stop. The table below shows the probability distribution for X. What is the expected value EX) for this distribution? 2 Total P(X) .40 .30 . 20 .10 1.00 Multiple Choice 1.3 1.7 1.9