Question

PLS HELP!!! TT

Consider 3 trials, each having the same probability of success. Let X denote the

total number of successes in these trials. If E(X) = 1.8, the smallest possible value of Pr{X = 3}?

Construct a probability scenario that results in Pr{X = 3} having the stated value.

(Hint: For part (b), you might start by letting U be a uniform random variable on (0,1) and then defining the trials in terms of the value of U.)


Solve using hint

Answer 1

The smallest possible value of Pr{X = 3} is U = 0

Explanation:

The number of trial is n = 3

The mean is E(X) = 1.8

Gnerally given that every probability value lies between 0 and 1 ,

let U be the smallest possible value of Pr{X = 3}

it then mean that U= 0 because in the range which probability values can take , the smallest value is zero

So

The smallest possible value of Pr{X = 3} is U = 0