After 1000 measurements of some quantity x, the mean value x and the standard de

Question

After 1000 measurements of some quantity x, the mean value x and the standard deviation ? are determined to be 30 and 4, respectively.

a)  What is the probability that measurement number 1001 is greater than 34?

b)  What is the probability that measurement number 1001 is greater than 25 but

less than 30?

After 1000 measurements of some quantity x, the mean value x and the standard deviation ? are determined to be 30 and 4, respectively. What is the probability that measurement number 1001 is greater than 34? What is the probability that measurement number 1001 is greater than 25 but less than 30?

Explanation / Answer

t=1

answer=0.5-0.3413=0.1587=15.87%

b)for 25: t=-1.25

for 30 : t=0

so probability=39.44%

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