Anormal distribution is observed from the number of points per game for a certain basketball player. if the mean is 16 points and the standard deviation is 2 points, what is the probability that in a randomly selected game, the player scored between 12 and 20 points? use the empirical rule provide the final answer as a percent.

The probability that in a randomly selected game, the player scored between 12 and 20 points is 95%.

Step-by-step explanation:

Given information: The population mean is 16 and standard deviation is 2.

We need to find the probability that in a randomly selected game, the player scored between 12 and 20 points.

So, we need to find the value of

According to the empirical rule:

Using the empirical rule, we get

Therefore the probability that in a randomly selected game, the player scored between 12 and 20 points is 95%.

equal to

step-by-step explanation: