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One aspect of the beauty of scenic landscape is its variability. The elevations

ID: 3227093 • Letter: O

Question

One aspect of the beauty of scenic landscape is its variability. The elevations (feet above sea level) of 12 randomly selected towns in the Finger Lakes Regions of Upstate New York are recorded here.

(b) Find the standard deviation. (Give your answer correct to the nearest whole number.)

The odds of the Patriots winning next year's Super Bowl are 5 to 17. (a) What is the probability that the Patriots will win next year's Super Bowl? (Give your answer as a fraction.

(b) What are the odds against the Patriots winning next year's Super Bowl

In a Calculus class there are 11 freshmen and 15 sophomores; 5 of the sophomores are females, and 8 of the freshmen are males. If a student is selected at random.

1360 685 1225 955 1495 1360 1036 901 1117 847 955 604

Explanation / Answer

fFirst calculate the mean of the number = sum of all numbers / total number

= 1045

Find the variance for population = sum ( x -mean)^2 / n = 69903

standrad deviation = sqrt (variance) = sqrt(69903) = 264.392

Find the variance for sample = sum ( x -mean)^2 / n-1 = 76257.82

standrad deviation = sqrt (variance) = sqrt( 76257.82) = 276.1482

2)

The odds of the Patriots winning next year's Super Bowl are 5 to 17.
(a)
P(will win) = 5/(5+17) = 5/22 = 0.227

b) P(will loose) = 1 - 0.227 = 0.773

odds against = P(will lose)/P(will win)

   = 0.773 / 0.227

   = 3.405

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