1.A baseball player has a batting average of 0.225. What is the probability that he has exactly 7 hits in his next 7 at bats?

The probability is

2.A distribution of values is normal with a mean of 229.8 and a standard deviation of 65.5.

FindP₅₄, which is the score separating the bottom 54% from the top 46%.

P₅₄=

Enter your answer as a number accurate to 4decimal places.

3.The annual rainfall in a certain region is approximately normally distributed with mean 42.2 inches and standard deviation 5.6 inches. Round answers to the nearest tenth of a percent.

a) What percentage of years will have an annual rainfall of less than 44 inches?%

b) What percentage of years will have an annual rainfall of more than 40 inches?%

c) What percentage of years will have an annual rainfall of between 39 inches and 43 inches?%

4.z = 1 is what percentile?