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deaishaajennings123
20.03.2020 •
Mathematics
A certain kind of sheet metal has, on average, 7 defects per 11 square feet. Assuming a Poisson distribution, find the probability that a 21 square foot metal sheet has at least 11 defects. Round your answer to four decimals.
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Ответ:
Step-by-step explanation:
If a variable x follows a poisson distribution, the probability that occurs x events in a region of size t is:
Where m is the mean per unit. So, replacing m by 7/11 because there are 7 defects per 11 square feet and t by 21 square feet, the probability that the metal sheet has x defects is:
Then, the probability that a 21 square foot metal sheet has at least 11 defects is calcualted as:
Where![p(x\leq 10)=p(0)+p(1)+p(2)+...+p(8)+p(9)+p(10)](/tpl/images/0556/1561/d1723.png)
Now, p(0) is equal to:
At the same way we can calculated the other probabilities, so:
Ответ:
If A and B are complementary angles, then they add up to 90 degrees.
So A + B = 90 => (x + 24) + (x + 16) = 90 => 2x + 40 = 90 => 2x = 50.
So x = 25, and thus, the measurement of B is (25 + 16) = 41.
The measurement of angle A is (25 + 24) = 49, and indeed they are complementary.