The Gilbert Machinery Company has gotten a major request to create electric engines for an assembling organization. To fit in its bearing, the drive shaft of the engine should have a breadth of 5.1 0.05 (inches). The organization's buying specialist understands that there is a huge supply of steel poles in stock with a mean distance across of 5.07'' and a standard deviation of 0.07''. (a) What is the likelihood of a steel bar from stock fitting the bearing? (b) What is the likelihood of a steel pole from stock not fitting the bearing?

C. Fox, showcasing chief for Metro-Goldmine Motion Pictures, accepts that the studio's impending delivery has a 60 percent possibility of being a hit, a 25 percent possibility of being a moderate achievement, and a 15 percent possibility of being a lemon. To test the precision of his assessment, T. C. has planned two test screenings. After each screening, the crowd rates the film on a size of 1 to 10, 10 being ideal. From his long involvement with the business, T. C. realizes that 60% of the time, a hit picture will get a rating of 7 or higher; 30% of the time, it will get a rating of 4, 5, or 6; and 10 percent of the time, it will get a rating of 3 or lower. For a modestly effective picture, the particular probabilities are 0.30, 0.45, and 0.25; for a lemon, the separate probabilities are 0.15, 0.35, and 0.50.

In the event that the main test screening produces a score of 6, what is the likelihood that the film will be a hit?

``7``

Glenn Howell, VP of work force for the Standard Insurance Company, has built up another preparation program that is completely independent. New representatives work different stages at their own speed; culmination happens when the material is learned. Howell's program has been particularly successful in accelerating the preparation interaction, as a representative's compensation during preparing is just 67% of that endless supply of the program. Over the most recent quite a while, normal finishing season of the program was 44 days, and the standard deviation was 12 days.

(a) Find the likelihood a representative will complete the program in 33 to 42 days.

(b) What is the likelihood of completing the program in less than 30 days?

C. Fox, promoting chief for Metro-Goldmine Motion Pictures, accepts that the studio's impending delivery has a 60 percent possibility of being a hit, a 25 percent possibility of being a moderate achievement, and a 15 percent possibility of being a failure. To test the exactness of his assessment, T. C. has planned two test screenings. After each screening, the crowd rates the film on a size of 1 to 10, 10 being ideal. From his long involvement with the business, T. C. realizes that 60% of the time, a hit picture will get a rating of 7 or higher; 30% of the time, it will get a rating of 4, 5, or 6; and 10 percent of the time, it will get a rating of 3 or lower. For a reasonably fruitful picture, the separate probabilities are 0.30, 0.45, and 0.25; for a failure, the particular probabilities are 0.15, 0.35, and 0.50.

On the off chance that the main test screening produces a score of 6 and the subsequent screening yields a score of 2, what is the likelihood that the film will be a lemon (expecting that the screening results are free of one another)?