The correct answer would be choice A: 1.
When 3 coins are flipped, there are 8 possible outcomes.
0 Tails = 1 ways
1 Tails = 3 ways
2 Tails = 3 ways
3 Tails = 1 ways
If you add up all the different tails, you could get 12 tails. Divide 12 by 8 and you have 1.5 which is the average number of tails you could expect to get by flipping 3 coins.
Answer:
Step-by-step explanation:
1 is d 2 is b 3 is a 4 is b 5 is c and 6 is b
Answer:
a. P(X ≤ 5) = 0.999
b. P(X > λ+λ) = P(X > 2) = 0.080
Step-by-step explanation:
We model this randome variable with a Poisson distribution, with parameter λ=1.
We have to calculate, using this distribution, P(X ≤ 5).
The probability of k pipeline failures can be calculated with the following equation:

Then, we can calculate P(X ≤ 5) as:

The standard deviation of the Poisson deistribution is equal to its parameter λ=1, so the probability that X exceeds its mean value by more than one standard deviation (X>1+1=2) can be calculated as:

Answer:
Option E) 61.6
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100 bushels per acre
Standard Deviation, σ = 30 bushels per acre
We assume that the distribution of yield is a bell shaped distribution that is a normal distribution.
Formula:

P(X>x) = 0.90
We have to find the value of x such that the probability is 0.90
P(X > x)
Calculation the value from standard normal table, we have,

Hence, the yield of 61.6 bushels per acre or more would save the seed.
0.25 inches represents 1 mile
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Find 1 inch:
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1 inch represents 1 ÷ 0.25 miles
1 inch represents 4 miles
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Find 3.75 inches:
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1 inch represents 4 miles
3.75 inches represent 4 x 3.75 miles
3.75 inches represent 15 miles
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Find 2.25 inches:
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1 inch represents 4 miles
2.25 inches represent 4 x 2.25 miles
2.25 inches represent 9 miles
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Find Area:
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Area = Length x Width
Area = 15 x 9
Area = 135 miles²
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Answer: 135 miles²
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