Question

A random variable x is normally distributed with mean 1002.8 and standard deviation 1.8. What are the probabilities that one value of the variable is:
(a) greater than 1005? (b) less than 1001?
(c) between 1001 and 1005?

Answer 1

@Hero

Answer 2

@lgbasallote

Answer 3

@karatechopper
@UnkleRhaukus

Answer 4

@mukushla

Answer 5

@Hero

Answer 6

@Hero

Answer 7

@Yahoo!

Answer 8

1001 is one standard deviation from the mean 1002.8

for any normal distribution
the probability of the value being more than
one standard deviation below the mean is

15.9%

Answer 9

similarly
the probability that the value being more than
one standard deviation above the mean; 1004.6
is also 15.9%

Answer 10

the probability that the value is Within one standard deviation of the mean is 68.2%
for any normal distribution