The speed of nitrogen molecules in the atmosphere (at 20ºC) follows a normal distribution with a mean speed of 500 meters/second and a standard deviation of 50 meters/second. Which conclusion does this information best support?

a 84% of the molecules have speeds between 450 meters/second and 550 meters/second.

b 68% of the molecules have speeds between 450 meters/second and 550 meters/second.

c 50% of the molecules have speeds between 450 meters/second and 550 meters/second.

d 34% of the molecules have speeds greater than 550 meters/second. @amistre64

Question

The speed of nitrogen molecules in the atmosphere (at 20ºC) follows a normal distribution with a mean speed of 500 meters/second and a standard deviation of 50 meters/second. Which conclusion does this information best support?

a  84% of the molecules have speeds between 450 meters/second and 550 meters/second.

b   68% of the molecules have speeds between 450 meters/second and 550 meters/second.

c    50% of the molecules have speeds between 450 meters/second and 550 meters/second.

d    34% of the molecules have speeds greater than 550 meters/second. @amistre64

anonymous · Answer

@tyronne hello... how was your day ?

anonymous · Answer

It was good. how are you?

anonymous · Answer

Quite good especially when i met you.... can you say which option is your opinion .... so i can find out... easily the right one...

anonymous · Answer

I have no idea where to begin for this question. I think I should start with a formula but I don't know what formula.

amistre64 · Answer

its not so much a formula as a cumulative summation

amistre64 · Answer

recall the empirical rule which is an approximation of the probability of a normal distribution between multiples of the standard deviation.

anonymous · Answer

I'm thinking b for the 68 percent.

anonymous · Answer

@amistre64

amistre64 · Answer

according to empirical rule:

68% of that data is within +-1 sd from the mean

B states that well enough