Complite with excel formulas: 1) 20% percent of business classes are filled to c

Question

Complite with excel formulas:

1) 20% percent of business classes are filled to capacity and closed two weeks before semester start. A random sample of 6 classes is selected at that time.

a. What is the probability that the sample contains more than 2 closed classes?

b. What is the probability that the sample contains fewer than 2 closed?

c. What is the probability that the sample contains exactly 1 open class?

d. What is the expected number of closed classes in the sample?

2). Household spending for New Year fireworks in Georgia has been increasing over the past few years. Last year the spending was normally distributed with a mean of $312and a standard deviation of $65. a. The top spending 10% of households spend at least how much for fireworks on New Years?

3. The times recorded to run the Pikes Peak International Hill Climb (12.42 miles, 156 turns, 14,000 ft elevation) – 1205cc Motorcycle Class are normally distributed, with a mean of 14.288 harrowing minutes, and a standard deviation of 0.9174 minutes.

a. What percentage of the bikes (that survived) completed the run in 13.371 or faster?

b. What were the odds of last year’s winning time of 9.68 minutes or faster?

Explanation / Answer

2) the equation to be used here = X = MEAN + Z*STANDARD DEVIATION

HERE MEAN = 312

STANDARD DEVIATION = 65

TOP 10% MEANS = 90% = 0.9

Z SCORE FOR 0.9 = 1.65

HENCE X = 312 + 0.9*65 = 370.5

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