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 />
E - English homework, M - Math homework;
M + E ≤ 2 hours
M = 2 E
2 E + E ≤ 2 hours
3 E ≤ 2 hours = 120 minutes
E ≤ 120 : 3
E ≤ 40 minutes
Answer:
The student will be able to finish his English homework in less or equal to 40 minutes.
The answer is 12
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