Given a sample with a mean of 151 and a standard deviation of 27, find the probability that a randomly selected value from the sample will be less than 131.7. Round your answer to 3 decimal places, e.g. 0.194. Pr(X < 131.7)

The IQ's in a certain population are normally distributed with a mean score of 104 and a standard deviation of 14. If we select a person at random from this population, find the probability that their IQ will be: 1. Find the 67th percentile of IQ's in this population. 2. Find the 20 The percentile of IQ's in this population 3. Find the IQR of IQ's in this population.

Consider a value to be significantly low if its z score less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2. A data set lists weights (grams) of a type of coin. Those weights have a mean of 5.30979 g and a standard deviation of 0.06539 g. Identify the weights that are significantly low or significantly high. .BBE What weights are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice. O A. Weights that are greater than (Round to five decimal places as needed.) O B. Weights that are between and (Round to five decimal places as needed. Use ascending order.) OCWeights that are less than (Round to five decimal places as needed.)

The amount of annual snowfall in a certain mountain range is normally distributed with a mean of 75 inches and a standard deviation of 15 inches. If X-bar represents the average amount of snowfall in 20 years, find k such that P(X-bar>k) = 0.70. Round your answer to 3 decimal places. Group of answer choices 39.822 82.866 110.178 73.241 76.759