A particular fruit's weights are normally distributed, with a mean of 405 grams and a standard deviation of 19 grams. The heaviest 5% of fruits weigh more than how many grams? Give your answer to the nearest gram.

Find the percentage of area under a normal curve between the mean and the given number of standard deviations from the mean. This problem can be solved using technology or the table for the standard normal curve from your text.   −0.4 The percentage of area under the normal curve between the mean and −0.4 standard deviations from the mean is

Randy took a standardized test that is normally distributed. He scored a 105 on the test. The nationwide mean score on the test was 94 and the standard deviation was 6.2. What percent of the tested population scored higher than Randy on the test? Round to the nearest whole percent. O 2% 4% 96% O 94% 11%

Please be sure answers are correct.

Christopher is 6' (72") tall.  The population mean height for men in the United States is 5' 10" (70") and the population standard deviation is 3 ".  What proportion of men in the United States or equal to or taller than Christopher?

What percentage of the widget Weights lie between 55 and 79 ounces when the mean is 61 and the standard deviation is 6 ?

The Acme Company manufactures widgets. The distribution of widget weights is bell shaped. The widget have a mean of 40 ounces and a standard deviation of 10 ounces. What percentage of the widget weights lie between 20 and 70 ounces?

The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.  What is the minimum weight of the top 2% of players? Do Not Use Excel. Show the formula used and show your work.  Use Z table if neccessary.  Group of answer choices 151.75 pounds 251.25 pounds 148.75 pounds 158.25 pounds

You want to know the percentage of utility companies that earned revenue greater than 94 million dollars. If the mean revenue was 60 million dollars and the data has a standard deviation of 15 million, find the percentage. Assume that the distribution is normal. Round your answer to the nearest hundredth.

An engineer wishes to determine the width of a particular Electronic Component. If she knows that the standard deviation is 3.8 mm how many of these components should she consider to be 90% sure that mean will be 0.2 mm