Question

average dollars laundered per minute by our emperor is $225 money laundering is normally distributed with standard deviation 10 the probability that at any chosen random minute or emperor launder less than $200 is

Answer 1

The probability of laundering less than $200 is approximately 0.0062, or 0.62%.

Step-by-step explanation:

To find the probability that the emperor will launder less than $200 in a random minute, we need to use the information given and find the z-score.

The z-score measures the number of standard deviations an observation is from the mean. In this case, the mean is $225 and the standard deviation is 10.

First, we need to calculate the z-score using the formula z = (x - mu) / sigma, where x is the value we are interested in, mu is the mean, and sigma is the standard deviation. Then, we can use a standard normal distribution table or calculator to find the probability associated with the z-score.

Using the given data, the z-score is z = (200 - 225) / 10 = -2.5.

Looking up the z-score in a standard normal distribution table, we find that the probability of laundering less than $200 is approximately 0.0062, or 0.62%.