Question 3 10 pts Q3. Elite runners are known to run the Boston Marathon (26 miles) in an average of 130 minutes with a standard deviation of 12 minutes. Consider 25 of marathons that are similar to the Boston Marathon. Let X represent the average of the 25 races. Unless specified, round all numbers to 2 decimal places. (HINT: You have to find the Standard error based on sample size in this problem). a. X- N( b. The probability (in % terms) that the runner will average between 127 and 132 minutes in these 25 marathons is %. c. The 70th percentile for the average of these 25 marathons is d. The first quartile of the average running times for these 25 marathons is

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Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.