Question

PLEASE HELPPP!!!!

A computer is used to generate passwords made up of numbers 0 through 9 and uppercase letters. The computer generates 500 passwords one character at a time.

A uniform probability model is used to predict the first character in the password.

What is the prediction for the number of passwords in which the first character is a number?

Round your answer to the nearest whole number.

69 passwords

139 passwords

192 passwords

292 passwords

Answer 1

Since there are 10 possible characters (0 through 9) that can appear as the first character, and the probability of each character appearing is uniform, the probability of the first character being a number is 10/36 or 5/18.

Therefore, the expected number of passwords in which the first character is a number is:

500 * (5/18) = 139

So the prediction is that about 139 passwords will have a number as the first character. The answer is 139 passwords.