1. Ted's Tuxes rents suits for formal dances. The store developed a grade 8 waist size probability table bas a sample of 200 customers, as shown. What is the expected number of rentals for waist sizes from 28 to inches in the next 100 grade & customers? Waist Size (in.) Probability 26-28 0.045 28-30 0.595 30-32 0.315 32-34 0.0452. Five kittens in a litter each has a mass of 104 g, 96 g. 99 g. 90 g, and 87 g. What is the mean mass of the kittens?(three marks)3. The probability distribution for an aircraft spot landing contest is shown. What does the shaded area represent? Normal Distribution 10 15 20 25 Landing Position (m)4. The owner of a restaurant collects data on the amount of chicken noodle soup sold each day. Suggest how he could do this using a discrete variable and a continuous variable.(two marks)5. A litter of five kittens has a mean mass of 95.2 g and a standard deviation of 6.8 g. Determine the z-score for a mass of 110 g.(three marks)6. A mark of at least 50 is required to pass a course. The marks this year run from a low of 45 to a high of 83, with a mean of 64 and a standard deviation of 5. The professor would like all students to pass, so he adjusts the marks to achieve a mean of 72 with a standard deviation of 5. Is this enough to ensure that all students will pass? (five marks)7. The high-IQ society Mensa admits those whose IQs are in the top 2% of the population. Since Mensa accepts results from different kinds of tests, including the SAT and the GRE, the usual practice is to calculate the z- score, multiply by 15, and add 100. What IQ would be assigned to a candidate who scored at the mean on the test? What IQ would qualify for admission to Mensa?(five marks)