Suppose a player's true batting average is Normal, with mu = .269, and standard deviation, sigma = 0.02. What is the probability that this player will have a batting average LESS THAN 0.250 on the basis of luck alone?  (Round your answer to three decimal places, ex: 0.123.)

Assume that adults have IQ scores that are normally distributed with a mean of 95.3 and a standard deviation of 16.4. Find the probability that a randomly selected adult has an IQ greater than 125.0. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 125.0 is ☐ . (Round to four decimal places as needed.)

The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. b. Find the probability that this American man consumes between 9.3 and 9.9 grams of sodium per day. c. The middle 10% of American men consume between what two weights of sodium?Low: High:

The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.12.  There is 35 student in the class. Each student does his/her homework independently. What is the standard deviation of X, where X is the number of students who submit the homework on time?