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pogonyaev
3 years ago
12

The distance between major cracks in a highway follows an exponential distribution with a mean of four miles. (a) what is the st

andard deviation of the distance between two major cracks
Mathematics
1 answer:
Lesechka [4]3 years ago
7 0
For an exponential distribution, the standard deviation is equal to the mean.

(a) the standard deviation is 4 miles.
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The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. F
musickatia [10]

Answer:

P(X \geq 1)=1-P(X

P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801

And replacing we got:

P(X \geq 1) = 1-0.9801 = 0.0199

Step-by-step explanation:

Let X the random variable of interest "number of craked eggs", on this case we now that:

X \sim Binom(n=2, p=0.01)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(x \geq 1)=1-P(X

And we can find the probability:

P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801

And replacing we got:

P(X \geq 1) = 1-0.9801 = 0.0199

5 0
2 years ago
Geometry, please answer question ASAP
vladimir1956 [14]

Answer:

i think 60 degree is the answer

7 0
3 years ago
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Y=1/2x+2 which graph represents the function
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Answer:

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According to the equation the y-intercept is 2. The only graph with the y-intercept of (0,2) is the first graph. So, graph number 1 represents the function.

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I have mentioned time 7 sec from 3 to9

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