(a)
Now X is less than 30 or greater than 40 if and only if,
where, = 35 and
. So
the probability that X <= 30 or X >= 40 is,
So X will be between 30 and 40 with probability = 1 - (9/25) = 16/25 = 64% (not 0.64% as written in the answer box)
(b)
Now X is less than 25 or greater than 45 if and only if,
where, = 35 and
.
So the probability that X <= 25 or X >= 45 is,
So X will be between 30 and 40 with probability = 1 - (9/100) = 91/100 = 91% (not 0.91% as written in the answer box)
** If this answer does not match please comment
A probability distribution has a mean of 35 and a standard deviation of 3. Use Chebychev's...
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