A number increased by 7 is 2 less than twice the number
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We first standardise 
:
P(1224 >)=P(
>
)
which reduces to finding P(Z > 1.2) = 0.115
P(1224 >
which reduces to finding P(Z > 1.2) = 0.115
There are 100 numbers in the range 100-199. Find the smallest and largest multiple of 13 in this range. We have
104 = 8•13
195 = 15•13
so there are 15 - 8 + 1 = 8 multiples of 13 between 100 and 199.
Then the sum we want is
or equivalently,
(100 + 101 + 102 + … + 199) - 13 (8 + 9 + … + 15)
To compute these sums, recall the following formula:
Then
and
which means the sum we want is 14,950 - 1,196 = 13,754.