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1 answer:
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Answer:
108
Step-by-step explanation:
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Whenever you have a limit and the answer to that limit is one of the indeterminant form, you can use the L'Hopital's Rule to solve for the limit.
<u>Indeterminant forms:</u>
<u>L'Hopitals Rule:</u>
L'Hopitals rule is just taking the derivative of the numerator, and the derivative of the denominator separately.
After doing the L'Hopital's rule, take the limit again. If the result is an actual number then you got your answer.
If the result is another indeterminant form then use L'Hopitals rule again and check the limit again after that. Repeat the process until you get your answer.
Answer:
Step-by-step explanation:
The outcomes table is shown in the attached diagram. From the table, the total number of outcomes is 36.
i) the number of outcomes whose sum is 7 are 6 (1,6 2,5 3,4 4,3 5,2 6,1)
The probability that the sum of the two numbers that show up is 7 is
6/36 = 1/6
ii) the number of outcomes whose sum is even are 18
The probability that the sum of the two numbers that show up is even is
18/36 = 1/2
ii) the number of outcomes whose sum is greater than 9 is 6(4,6 5,5 6,4 5,6 6,5 6,6)
The probability that the sum of the two numbers that show up is greater than 9 is
6/36 = 1/6
3) this is a poisson distribution. We want to determine the mean.
Mean = np
p = 5/200 = 0.025
n = 600
Therefore,
Mean = 0.025 × 600 = 15 eggs
15 eggs are expected to be broken from a crate containing 600 eggs
