Answer:
2nd one
Step-by-step explanation:
It is already rounded to the nearest hundreth. .5 is a tenth, .06 is a hundreth.
We should first calculate the average number of checks he wrote
per day. To do that, divide 169 by 365 (the number of days in a year) and you get (rounded) 0.463. This will be λ in our Poisson distribution. Our formula is

. We want to evaluate this formula for X≥1, so first we must evaluate our case at k=0.

To find P(X≥1), we find 1-P(X<1). Since the author cannot write a negative number of checks, this means we are finding 1-P(X=0). Therefore we have 1-0.3706=0.6294.
There is a 63% chance that the author will write a check on any given day in the year.<em />
When an exponent is a fraction, the denominator is written as a root, while the numerator is the power:
Since a is to the power of 5/7, the 7 becomes the 7th root, and the 5 becomes a^5. This is:
7th root of (a^5), or(B).