Question

Assume the number of customers who order a dessert with their meal on a given night at a local restaurant has the probability distribution given below. The variance for the random variable x is _____. a. .77

Answer 1

Complete question :

X: 3, 4, 5, 6

f(x): .25, .55, .15, .05

Answer:

0.60

Explanation:

Given the data:

Variance (s) :

Σx²*f(x) - E(x)²:

E(x) = (3*0.25) + (4*0.55)+(5*0.15)+(6*0.05) = 4

Σx²*f(x) - E(x)²: [(3^2 * 0.25)+(4^2 * 0.55)+(5^2 * 0.15)+(6^2 * 0.05)] - 4²

16.6 - 16 = 0.6