Let the random variable X be thenumber of rooms in a randomly chosen owner-occupied housing unit in a certain city. Thedistribution for the units is given below.5 6P(X)0.06 0.290.39 0.15 0.04 0.03 0.02 ?8 9 10347(a) Is X a discrete or continuous random variable?(Type: DISCRETE or CONTINUOUS)ANSWER:(b) What must be the probability of choosing a unitwith 10 rooms? P(X = 10) =%D(c) What is the probability that a unit chosen atrandom has between four and six rooms?P(4 < X < 6) =(d) What is the probability that a unit chosen atrandom has three rooms? P(X = 3) =(e) What is the probability that a unit chosen atrandom is not a 10-room unit? P(X+ 10) =

Answered: Image /qna-images/answer/7e162b17-f164-4af7-8e55-125c540d9127.jpg

Answered: Let the random variable X be the number…

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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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…
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