Statistical interference Q.1.Construct the probability distribution based on the following frequency distribution:OUTCOMES:102105108111114117FREQUENCIES: 102045152015(a) Draw the Histogram graph of the probability distribution.(b) Compute the expected value of the outcomes.(c) Compute the Variance and Standard Deviation of the probability distribution.Q.2.A coin is biased such that a HEAD is three times as likely to occurs as a TAIL. Find the expected TAILSwhen this coin is tossed thrice.Q.3.Let X be the random Variable with the following probability distribution:X:-3P(X):1/61/21/3(d) Compute E[1/2(5X - 7)](e) Compute E(5X - 13)²(f) Compute E(X + 1)³(a) Compute E(X).(b) Compute E(X²)(c) Compute E(1//x)Q.4.Let X be the random variable and has the following probability distribution:X:1Р(X) : АBWhere A, B, C are any constants. It is also known that P(X < 4) = P(X > 4) and P(X s 5) = 2P(X > 5).Find the values of A, B and C.Q.5.Find the value of K such that the following are the probability distributions:(а) Р(X) 3D К/X3 where X %3D 1, 2, 3, 4(b) P(X) = KX? where X = 0.5, 0.25, 0.75Also Compute the Mean and Variance of the above distributions.

(since it is not mention which question so we shall only answer the first question as per our…

Construct the probability distribution based on the following frequency distribution: OUTCOMES: 102 105 108 111 114 117 FREQUENCIES: 10 20 45 15 20 15 (a) Draw the Histogram graph of the probability distribution. (b) Compute the expected value of the outcomes. (c) Compute the Variance and Standard Deviation of the probability distribution.

Construct the probability distribution based on the following frequency distribution: OUTCOMES: 102 105 108 111 114 117 FREQUENCIES: 10 20 45 15 20 15 (a) Draw the Histogram graph of the probability distribution. (b) Compute the expected value of the outcomes. (c) Compute the Variance and Standard Deviation of the probability distribution.

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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