A spinner marked off in four equal-sized regions, numbered 1, 2, 3, and 4, is spun twice. Let the random variable X be the nonnegative difference between the numbers of the regions where the pointer stops, and define a probability mass function g(x)=P(X=x).a) State the range of X.b) Write g as a set of ordered pairs.c) Draw a probability distribution as a histogram.d) Find g(2), and explain what this number represents.e) Find μ, and explain what this number represents.Ga) What is the range of X?O A. {0, 1, 2, 3, 4, 5}O B. {1, 2, 3)OC. {1, 2, 3, 4, 5)O D. {0, 1, 2, 3)b) Write g as a set of ordered pairs. Choose the correct answer below.O A.(0.76) · (¹. - 6)· (² · + 6 )· (³., 7/6)O B.(0.76) · (1¹. 76 ) · (² 76 )· (³ - 76 )OC. (¹) (2) (7)OD. (4)(¹. 6)· (2. 6)· (³. 4/6).16c) Which of the following is the correct histogram of the probability distribution?O A.O B.O D.Q✓fami0013O C. d) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.(Type an exact answer in simplified form. Use the answer from part b to find this answer.)O A. The value of g(2) isand represents the average value of the spins.OB. The value of g(2) isand represents the probability the difference of the two spins is 2.e) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.(Type an integer or decimal rounded to two decimal places as needed.)O A. The mean, μ, is, and represents the probability of landing on one of the regions.OB. The mean, μ, is and represents the average value of the spins.

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Answered: A spinner marked off in four…

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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Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The time required to upload a file to the Internet b. The last book a person in City A read c. The number of light bulbs that burn out in the next year in a room with 15 bulbs d. The number of home runs in a baseball game N e. The number of people with blood type B in a random sample of 26 people f. The time it takes to drive from City A to City B 3: F2 a. Is the time required to upload a file to the Internet a discrete random variable, continuous random variable, or not a random variable? OA. It is a continuous random variable. OB. It is a discrete random variable. OC. It is not a random variable. b. Is the last book a person in City A read a discrete random variable, continuous random variable, or not a random variable? OA. It is a discrete random variable. OB. It is a continuous random variable. OC. It is not a random variable. c. Is the number of light bulbs…
Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was u = 9.3 mg/L with 95% of the data ranging from 6.7 mg/L to 11.9 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. In USE SALT (a) Use the 95% data range to estimate the standard deviation for oxygen demand. (b) An oxygen demand below 8 indicates that some organisms in the wetland environment may be dying. What is the probability that the oxygen demand will fall below mg/L? (Round your answer to four decimal places.) (c) A high oxygen demand can also indicate trouble. An oxygen demand above 12 may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed…
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