22) Suppose a platform tries to recommend the best movie to Ann and Ben. Movie l's quality is uniformly distributed from 0 to 1. Movie 2's quality is uniformly distributed from 0.5 to 1. Now suppose the platform recommends movie 2 to Ann. Note that movie 2's quality is always higher than the expected quality of movie 1, which is 0.5. Therefore, the platform also recommends movie 2 to Ben. What is the expected quality of movie 2 to Ben? a.0.7125 b.0.75 c.0.78125 d.0.8125

A factory uses three production lines to manufacture cans of a certain type.  The accompanying table gives percentages of nonconforming cans, categorized by type of non-conformance for each of the three lines during a particular time period.  During this time period, line 1 produced 100 non-conforming cans, line 2 produced 100 such cans, and line 3 was responsible for 300 non-conforming cans.  A Quality Control person picks up a non-conforming can produced by one of the three lines.  What is the probability that the can was produced by Line 1?  (State your answer as a decimal accurate to three decimal places).    Line 1   Line 2  Line 3  Blemish   15%   12%   20% Crack   50%   44%   40% Pull-Tab Problem    21%   28%   24% Surface Defect   10%    8%    15% Other     4%    8%    1%

The U.S. Census Bureau estimates that American workers spend and average time of 27 minutes travel time to work. The travel time to work for American workers is known to be approximately normally distributed. A random sample of 20 American workers in the Chicago metropolitan area was taken and their travel times to work were recorded. If we have a data set where the shortest travel time is 6.6 minutes and the longest travel time is 62.2 minutes, what is an acceptable estimate for the value of the sample standard deviation of the travel times in the sample? Assume answers are rounding the nearest tenth of a minute.

The owner of Cruz Wedding Photography believes that the average number of wedding bookings per year can be estimated by a triangular distribution with a minimum of 10, maximum of 22, and most likely value of 15. One of the key variables in developing his business plan is the life he can expect from a single digital single-lens reflex (DSLR) camera before it needs to be replaced. Due to heavy usage, the shutter life expectancy is estimated by a normal distribution with a mean of 147,500 clicks with a standard deviation of 9,000. For each booking, the average number of photographs taken is assumed to be normally distributed with a mean of 1,950 and a standard deviation of 300. Develop a simulation model using 50 trials to determine summary statistics and the distribution of the camera life (in years). Click the icon to view a sample of 50 simulation trial results. Say the values of the shutter life (in clicks), the weddings per year, the photos per wedding, the average weddings per…

Matias is a student of standard 10 in St. Xavier Int. School. He has to study 7 subjects. In the annual exam, the performance of a student in each subject is graded as “G” (good), “M” (moderate) or “B” (bad). If a student gets at least one B or more than 2 M’s or both, s/he can’t get a scholarship next year. If all three grades are equally likely for Matias, what is the probability that he gets a scholarship next year?

Suppose you found out that two job applicants (namely Saif and Sofia) scored 130 and 75 respectively on the IQ Test. Investigate how well each of these applicants compared to the others (with the assumption that the IQ scores are normally distributed with mean equal to 100 and standard deviation equal to 15).

A dietician is researching two new weight gain supplements that have just hit the market: Ripped and Gainz. She wants to determine if there is any difference between the two supplements in the mean amount of weight gained (in kg) by the people who take them. The dietician tracks the total weight gain (in kg) over a year of a random sample of 14 people taking Ripped and a random sample of 12 people taking Gainz. (These samples are chosen independently.) For the people taking Ripped, their sample mean is 10.59 with a sample variance of 6.29. For the people taking Gainz, their sample mean is 9.44 with a sample variance of 1.06. Assume that the two populations of weight gains are approximately normally distributed. Can the dietician conclude, at the 0.10 level of significance, that there is a difference between the population mean of the weights gained by people taking Ripped and the population mean of the weights gained by people taking Gainz? Perform a two-tailed test. Then complete the…

A dietician is researching two new weight gain supplements that have just hit the market: Ripped and Gainz. She wants to determine if there is any difference between the two supplements in the mean amount of weight gained (in kg) by the people who take them. The dietician tracks the total weight gain (in kg) over a year of a random sample of 14 people taking Ripped and a random sample of 12 people taking Gainz. (These samples are chosen independently.) For the people taking Ripped, their sample mean is 10.59 with a sample variance of 6.29. For the people taking Gainz, their sample mean is 9.44 with a sample variance of 1.06. Assume that the two populations of weight gains are approximately normally distributed. Can the dietician conclude, at the 0.10 level of significance, that there is a difference between the population mean of the weights gained by people taking Ripped and the population mean of the weights gained by people taking Gainz? Perform a two-tailed test. Then complete the…

Solve quick please

What might be a set of numbers we expect to be normally distributed?