Probability questions | Probability homework help


3. Downhill Ski Frequentation in Colorado has accumulated advice from archives of the spent 30 evenings respecting the measurable snowfall. This advice is as follows:

Snowfall (in.) Frequency 

0–19  2 

20–29 7 

30–39 8 

40–49 8 

50+ 5 


a. Detail the presumption of each result in this abundance dispensation.

b. Are all the results in this dispensation mutually scientific? Explain.

33. The SAT beaks of all freshmen current at State University are normally orderly, delay a medium of 1,050 and a gauge sinuosity of 120. The Propaganda of Business at State University has current 620 of these freshmen into the propaganda. All students in the propaganda who beak aggravate 1,200 are preferable for desert scholarships. How abundant students can the propaganda legislation foresee to be preferable for desert scholarships?

15. A channel shop proprietor is attempting to flow whether to acquisition a new instruct harass, a lathe, or a grinder. The give-back from each succeed be secure by whether the aggregation succeeds in getting a legislation soldierly curtail. The advantage or damage from each acquisition and the probabilities associated delay each curtail remainder are shown in the subjoined payoff table:

Purchase Curtail .04 No Curtail .06

Drill harass $40,000 $−8,000 

Lathe  20,000 4,000

Grinder 12,000 10,000

Compute the foreseeed prize for each acquisition and chosen the best one

19. The financial good-fortune of the Downhill Ski Frequentation in the Blue Ridge Mountains is resting on the totality of snowfall during the evening months. If the snowfall averages further than 40 inches, the frequentation succeed be good-fortuneful; if the snowfall is between 20 and 40 inches, the frequentation succeed accept a calm financial give-back; and if snowfall averages near than 20 inches, the frequentation succeed experience a financial damage. The financial give-back and presumption, dedicated each plane of snowfall, follow:

Snowfall Plane (in.)  Financial Return

> 40, .4  $120,000

20−40, .2   40,000 

< 20, .4  − 40,000

A wide public-house manacle has offered to lease the frequentation for the evening for $40,000. Compute the foreseeed prize to detail whether the frequentation should have-effect or lease. Explain your acceptance.

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