(STATISTICAL ANALYSIS) Solve the Continuous Probability Distributions: 1. Apples from a large shipment average 8.0 ounces in weight with a standard deviation of 1.6. What proportion of the fruit weighs between 6.6 and 9.4 ounces? Assume a normal distribution of weights. 2. Assume that the heights of men applying for military academy training are normally distributed with a mean of 68.2 inches and standard deviation of 1.5 inches. Past experience indicates that 20% will be classified as short, 55% as medium height, 20% as tall, and 5% as very tall. What is the tallest height in the medium class? 3. The reaction time of a driver to visual stimulus is normally distributed with a mean of 0.4 seconds and a standard deviation of 0.05 seconds. What is the reaction time that is exceeded 90% of the time? 4. The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.002 inch. Suppose that the specifications require the dot diameter to be between 0.0014 and 0.0026 inch. If the probability that a dot meets specifications is to be 0.9973, what standard deviation is needed? 5. The probability density function for the diameter of a drilled hole in a metal shop plant is 10e-for * > > mm. Although the target diameter is 5 millimeters, vibrations, tool wear, and other nuisances produce diameters larger than 5 millimeters. Determine the mean hole diameter. 6. The ideal weight of an instant noodle package is 80g. If the weight of the package is above 81.5 gor below 78.5 g. the package is scrapped. A production batch is scrapped if five out of eight samples chosen are scrapped. Eight noodle packages were chosen from a certain production batch. The production line from which the production batch was obtained has a mean package weight of 80.75 g with a standard deviation of 0.25 g and follows the normal distribution. What is the probability that the production batch will be rejected upon inspection of the eighth instant noodle package