Question

The game operator wants to simulate what could happen for the next ten winners. So, for each winner, he generates a random whole number from 1 to 100

Answer 1

Step-by-step explanation

In part (a) we must describe how to use the 1 to 100 randomly generated numbers to decide the prize of a winner. There are 100 different whole numbers between 1 and 100 so we can assing a total of p numbers to a prize with a p% chance. For example, there's a 17% chance of getting cotton candy so we can assign the first 17 numbers to this prize. Then if you get a number between 1 and 17 you get cotton candy. For the shirt we can use the following 26 numbers so if you get a number between 18 and 17+26=43 you get a shirt. The final 57 numbers are assigned to the key chain so you get this prize if your number is between 44 and 100.

Now that we have the range of values for which a winner gets a key chain we can find the percentage asked in part (b). From the 10 different values displayed in the table we must find the ones falling into the interval [44,100]. There are 5 values that fall into this interval: 55, 73, 56, 96 and 46. Then the percentage of the 10 simulated winners who got a key chain is given by:

`(5)/(10)\cdot100=50`Answers

(a) 44 to 100

(b) 50%