Question

The graph to the right is the uniform density function for a friend who is x minutes late. Find the probability that the friend is at least 11 minutes late. 1/30- Density 0- 0 30 X 10 20 Time (min) The probability that the friend is at least 11 minutes late is (Type an integer or a decimal. Round to three decimal places as needed.)

Answer 1

Uniform distribtion between a = 0 and b = 30

P(at least 11 minutes late) = P(x $\geq$ 11)

= (30 - 11) / (30 - 0)

= 19/30

= 0.633