Problema Solution

A drawing pin was dropped 100 times and the results recorded in a table. If the point up frequency is 72 and point down frequency is 28.

a) What is the relative frequency for landing point up?

b) If the drawing pin was dropped 500 times, calculate the expected number of times it lands point up?

Answer provided by our tutors

a) 72/100 = 18/25 = 0.72 is the relative frequency for landing point up


b)let x be the expected number of times it lands point up


100 : 72 = 500 : x


x = (72/100)*500


x = 0.72*500


x = 360


another way to calculate x is to multiply 500 with the relative frequency for landing point up: 500*0.72 = 360


the expected number of times it lands point up is 360.