Only answer questions “D”, “E”, and “F” please :) A Bandom Variable is a rule that assigns a number to each outcome of a chance experiment.#2 A coin is tossed 4 times. Let the random variable X denote the # of tails that occura. List the outcomes of the experiment. (Note: n(S) = 2ª = 16)S = {HHHH, TTTTHHHT, HHTH, HTHH, THHHHHTT, HTTH, TTHH,HTTT, THTT, TTHT, TTTTHTHT, THTH,THHTb. Find the value assigned to each outcome by the random variable X.= 0,1,2,3,4C. Find the event consisting of the outcomes to which a value of 2 has beenassigned by X. X=2E = { HHTT, HTHT, HTTH, TTHHd. Create a probability distribution of X.14|P(X = x)NOTE: 0 < P(x;) < 1andP(x1) + P(x2) + P(x3) +..P(xn) = 1e. Finda. P(X = 1) =b. P(X > 2) =C. P(1 < X < 3) =d. P(X < 4) =e. Р(Х- -4) -f. In the space above right, draw a histogram of the probability distribution.What is true about each bar?

X denotes the number of tails that occur. There are total 16 possible outcomes. From the part(a).…

d. Create a probability distribution of X. 1 4 P(X = x) NOTE: 0 < P(x;) < 1 and P(x1) + P(x2) + P(x3) +..P(x„) = 1 e. Find a. P(X = 1) = b. P(X 2 2) = c. P(1 < X< 3) = %3D d. P(X < 4) = %3D e. P(X = -4) = %3D f. In the space above right, draw a histogram of the probability distribution. What is true about each bar? 3.

d. Create a probability distribution of X. 1 4 P(X = x) NOTE: 0 < P(x;) < 1 and P(x1) + P(x2) + P(x3) +..P(x„) = 1 e. Find a. P(X = 1) = b. P(X 2 2) = c. P(1 < X< 3) = %3D d. P(X < 4) = %3D e. P(X = -4) = %3D f. In the space above right, draw a histogram of the probability distribution. What is true about each bar? 3.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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