When Nabhitha goes bowling, her scores are normally distributed with a mean of 115 and a standard deviation of 11. What is the probability that the next game Nabhitha bowls, her score will be higher than 115, to the nearest thousandth?

1 answer

To find the probability that Nabhitha's score will be higher than 115, we need to calculate the probability of getting a score greater than 115 in a normal distribution with mean 115 and standard deviation 11.

To do this, we first need to calculate the z-score for a score of 115 in this distribution:

z = (x - mean) / standard deviation
z = (115 - 115) / 11
z = 0

Next, we need to find the area to the right of this z-score in the standard normal distribution table. Since the z-score is 0, the area to the right is 0.5000.

So, the probability that Nabhitha's score will be higher than 115 is 0.5.