Let X the number of nonzero digits in a randomly selected z

Let X = the number of nonzero digits in a randomly selected zip code. What are the possible values of X? (Note: U.S. domestic zip codes have exactly five digits with at least two nonzero digits.) MULTIPLE CHOICE SELECT ONE ONE THE FOLLOWING 4 ANSWERS

2, 3, 4, 5

1, 2, 3, 4, ...    

0, 1, 2, 3, 4, 5

0, 1, 2, 3, ...

For the following possible outcomes, give their associated X values.

Solution

X = the number of nonzero digits in a randomly selected zip code

We know that U.S. domestic zip codes have exactly five digits with at least two nonzero digits, thus maximum number of zeros allowed in a zip code is 3.

Thus, number of non-zero digits could be greater than equal to 2 and less than equal to 5..

i.e. 2 <= X <= 5

Thus, X : 2, 3, 4, 5

Hence correct choice is first option.