Question

Mr. Keller filled out a bracket for the NCAA National Tournament. Based on his knowledge of college basketball, he has a 0.5 probability of guessing any one game correctly.
What is the probability Mr. Keller will pick all 32 of the first round games correctly? Incorrect
What is the probability Mr. Keller will pick exactly 8 games correctly in the first round? Incorrect
What is the probability Mr. Keller will pick exactly 20 games incorrectly in the first round?

A high school baseball player has a 0.261 batting average. In one game, he gets 9 at bats. What is the probability he will get at least 7 hits in the game?

Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.2-in and a standard deviation of 0.9-in. Due to financial constraints, the helmets will be designed to fit all men except those with head breadths that are in the smallest 1.6% or largest 1.6%.
What is the minimum head breadth that will fit the clientele?
min =
What is the maximum head breadth that will fit the clientele?
max =
Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Answer 1