Question

Suppose you have a random variable that is uniformly distributed between 80 and 667. What is the probability of observing a random draw greater than or equal to 314? Answer to three decimal place if necessary.

Answer 1

P(x>=314) = 354/588 = 0.602

Explanation:

At first, we will find the sample space S

S = 667-80+1. i.e 80 and 667 are included

S= 588, so we have total of 588 numbers in the series

now comes the number greater or equal to 314

we will get total of 354 number greater than or equal to 314

x = 667-314+1 = 354

p( number >= 314) = (numbers >= 314)/total sample space

p= 354/588

p= 0.602