SOLUTION: One box contains 10 tokens with numbers on them. Five with the number 2, three with the number 4 and two with the number 8. Randomly we pick 100 tokens (with returning). Find th

Algebra ->  Probability-and-statistics -> SOLUTION: One box contains 10 tokens with numbers on them. Five with the number 2, three with the number 4 and two with the number 8. Randomly we pick 100 tokens (with returning). Find th      Log On


   



Question 1144176: One box contains 10 tokens with numbers on them. Five with the number 2,
three with the number 4 and two with the number 8. Randomly we pick 100 tokens (with returning).
Find the probability that the product (multiplication) of the picked tokens is between +2%5E160+ and +2%5E200+.
I think it is solved with the central limit theorem. I found the mean = 38 and the variance = 196 and I know that the numbers
can be in this format 2 = 2, 4 = +2%5E2+, 8 = +2%5E3+. To use the central limit theorem we need sum, not product (multiplication).
The multiplication of the numbers can be transformed of the Sum of the powers of 2, but I don't know how to transform the given n=100 from the multiplication (product) to the sum.

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

What the word  "between"  means in this formulation ?

Inclusive ?   Exclusive ?   Half-inclusive and half-exclusive ?