SOLUTION: Consider a normal distribution with mean 21 and standard deviation 6. What is the probability a value selected at random from this distribution is greater than 21? (Round your answ

Algebra ->  Probability-and-statistics -> SOLUTION: Consider a normal distribution with mean 21 and standard deviation 6. What is the probability a value selected at random from this distribution is greater than 21? (Round your answ      Log On


   



Question 927652: Consider a normal distribution with mean 21 and standard deviation 6. What is the probability a value selected at random from this distribution is greater than 21? (Round your answer to two decimal places.)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The mean is 21. The rule is that 50% of the distribution is ALWAYS greater than the mean. This is because the mean is smack dab in the very center of the distribution and because the distribution is perfectly symmetric.

So P(X > 21) = 0.50

We don't care about the standard deviation in this particular case because we didn't need to use it.
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