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In: Statistics and Probability

1) Suppose the scores of students on a Statistics course are Normally distributed with a mean...

1) Suppose the scores of students on a Statistics course are Normally distributed with a mean of 542 and a standard deviation of 98. What percentage of the students scored between 542 and 738 on the exam? (Give your answer to 3 significant figures.)

2) A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation of 6 miles. Find the probability of the following events:

A. The car travels more than 69 miles per gallon.

Probability =

B. The car travels less than 59 miles per gallon.

Probability =

C. The car travels between 59 and 68 miles per gallon.

Probability =

3)

(1 point) Suppose that X is normally distributed with mean 85 and standard deviation 20.

A. What is the probability that X is greater than 118?
Probability =

B. What value of XX does only the top 18% exceed?
X =

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Expert Solution

orchestra answered 1 year ago
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