The following data set outlines the scores students had on a…

The following data set outlines the scores students had on an Algebra test. i) Fill in the frequency table below. Score Frequency 40-49  [a] 50-59  [b] 60-69  [c] 70-79  [d] 80-89  [e] 90-99  [f]   ii) Draw a histogram on your scratch paper by drawing a horizontal line segment the top of each histogram bar.Optional: Then draw vertical line segments for the sides. You will submit your scratch paper at the end of the test. 

The annual rainfall in a certain region is approximately nor…

The annual rainfall in a certain region is approximately normally distributed with mean 42.8 inches and standard deviation 6.1 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? [a] %b) What percentage of years will have an annual rainfall of more than 39 inches? [b] %c) What percentage of years will have an annual rainfall of between 38 inches and 43 inches? [c] %

You’re locked out of your house and the only open window is…

You’re locked out of your house and the only open window is on the second floor, 33 feet above the ground. You need to borrow a ladder from one of your neighbors. There’s a bush along the edge of the house, so you’ll have to place the ladder 15 feet from the house. What length of ladder do you need to reach the window? [a] Round your answer to three decimal places. 

Read and answer the following question. If a calculation is…

Read and answer the following question. If a calculation is not possible, type NA. The population of weights for men attending a local health club is normally distributed with a mean of 182 lbs and a standard deviation of 30 lbs. An elevator in the health club is limited to 34 occupants, but it will be overloaded if the total weight is in excess of 6698 lbs.Assume that there are 34 men in the elevator. What is the average weight per man that, beyond which, the elevator would be considered overloaded? average weight = [a] lbs What is the probability that one randomly selected male health club member will exceed this weight? P(one man exceeds) = [b] round to 2 decimal places If we assume that 34 male occupants in the elevator are the result of a random selection, find the probability that the elevator will be overloaded? P(elevator overloaded) = [c] round to 4 decimal places