The random variable X represents the number of test is a patient entering a hospital have along with the corresponding possibilities find the mean and standard deviation

Complete question :

The random variable x represents the number of tests that a patient entering a hospital will have along with the corresponding probabilities. Find the mean and standard deviation.

x 0 1 2 3 4

P(x) 3/17 5/17 6/17 2/17 1/17

1.59 ; 1.09

Step-by-step explanation:

The Mean :

E(X) = Σx*p(x)

(0*3/17) + (1 * 5/17) + (2*6/17) + (3*2/17) + (4*1/17)

= 1.58823

= 1.59

Standard deviation = sqrt(Var(x))

Var(X) = Σx²*p(x) - E(x)²

= {(0^2*3/17) + (1^2 * 5/17) + (2^2*6/17) + (3^2*2/17) + (4^2*1/17)} - 1.59^2

= 3.7058823 - 2.5281

= 1.1777823

Standard deviation = sqrt(1.1777823)

= 1.0852567

= 1.09

i used to know but i learned it a long time ago sorry

step-by-step explanation: