Answer:
n = 144 bags
Step-by-step explanation:
Given:-
- English porcelain miniature figurines in total = 12
- 1 figurine is to be placed in a 100-bag box
Find:-
On the average, how many boxes of tea must be pur-chased by a customer to obtain a complete collection consisting of the 12 nautical figurines?
Solution:-
- We will denote a random variable (X) as the number of figurines in (n) number of bags purchased.
- The probability (p) of finding a figurine in a single bag is ( success ):
p = 1 / 12
- The random variable (X) can follow a binomial distribution with parameters n = number of bags purchased, and p = probability of selecting a bag with a figurine.
X ~ B ( n , 1/12 )
- The average number of bag "n" that need to be purchased to find all 12 figurines available:
E ( X ) = 12
n*p = 12
n = 12 / p
n = 12 / ( 1 / 12) = 12^2
n = 144 bags
- A total of average n = 144 bags need to be purchased to find all the 12 figurines.
