A random number generator generates uniformly distributed numbers between 0 and

Question

A random number generator generates uniformly distributed numbers between 0 and 1. What is the probability that a number generated by the generator is less than 0.80? Given that a number is less than 0.60, what is the probability that it is greater than 0.20? A random number generator generates uniformly distributed numbers between 0 and 1. What is the probability that a number generated by the generator is less than 0.80? Given that a number is less than 0.60, what is the probability that it is greater than 0.20?

Explanation / Answer

Given that the random number generator follows uniform distribution

i.e. probability of selecting each number when 0 to 1 is divided into 100 equal parts is equal

i.e

probability of selecting number from 0 to 0.1 = 0.1, 0.1 to 0.2 = 0.1, 0.2 to 0.3 = 0.1......

a) What is the probability that a number generated by the generator is less than 0.80

is 0.8 itself

b) Given that a number is less than 0.60, what is the probability that it is greater than 0.20?

probablity of number lies less tha 0.6 is 0.2

probability that number is greater than 0.2 is 0.8

probablity of number grater than 0.2 given less than 0.6 is

= lies between 0.2 and 0.6

= 0.4

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