#2 A coin is tossed 4 times. Let the random variable X denote the # of tails that occur.a. List the outcomes of the experiment. (Note: n(S) = 2ª = 16)S = {b. Find the value assigned to each outcome by the random variable X.X =c. Find the event consisting of the outcomes to which a value of 2 has beenassigned by X.E = {d. Create a probability distribution of X.1234|P(X = x)NOTE: 0 < P(x,)< 1andP(x1) + P(x2) + P(x3) +...P(xn) = 1e. Findа. Р(X - 1) -b. P(X > 2) =c. P(1 < X < 3) =d. P(X < 4) =е. Р(X - -4)f. In the space above right, draw a histogram of the probability distribution.What is true about each bar? #5Let X denote the random variable that gives the sum of the faces that fall uppermostwhen two fair die are rolled.Create a probability distribution of X.P(X = x)In the space above right, draw a histogram of the probability distribution.Find:а. Р(Х- 6) -b. P(X = 6 or 12) =с. Р(Х < 6) -Types of sets of X :1. discrete, finiteie.2. discrete infinite3. continuousie.Determine the probability distribution of the following: After the private screening of a new tv pilot# 28audience members were asked to rate the show on a scale of 1 - 10. From a group of 140 people thefollowing responses were obtained:rating x123478910frequency n(x)14| 112128 2916P(X = x)

Name: #2 A coin is tossed 4 times. Let the random variable X denote the # o
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Description: #2 A coin is tossed 4 times. Let the random variable X denote the # of tails that occur.a. List the outcomes of the experiment. (Note: n(S) = 2ª = 16)S = {b. Find the value assigned to each outcome by the random variable X.X =c. Find the event consi

A coin is tossed 4 time X: event of occurring of tail. a) list of all outcomes of the experiment…

Math

Probability

: A coin is tossed 4 times. Let the random variable X denote the # of tails that occur. a. List the outcomes of the experiment. (Note: n(S) = 2ª = 16) S= { b. Find the value assigned to each outcome by the random variable X. X = c. Find the event consisting of the outcomes to which a value of 2 has been assigned by X. E = {