Question

Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a Uniform Distribution from 1 – 53 (spread of 52 weeks).

Round all answers to two decimal places.

Find the probability that a person will be born between weeks 5 and 18 is P(5 < x < 18) = ?

Answer 1

solution :- smallest value (a) = 1 Largest value (6) = 53. Probability density function f(x) = { 16-9 : 92x6 ow f(x) = Where [1 exe53] < X < 5 3 1) ab-a 53-1 52 P(5<x<18) = 1 Fix) dx 20 1 [18-5 P/s<x</8)= 0.25