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Vilka [71]
3 years ago
5

Frazer is training for a cycle race. In the first week he cycles 195 miles

Mathematics
1 answer:
siniylev [52]3 years ago
6 0

Answer: Hope it helps...

Step-by-step explanation: mark as an brainliest... if so

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Mrs maxwell bought 3 3/4 pound roast at 3.75 per pound what was the cost of the roast.
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$14.06

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If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calcul
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Answer:

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

3 failures every twenty weeks

This means that for 1 week, \mu = \frac{3}{20} = 0.15

Calculate the probability that there will not be more than one failure during a particular week.

Probability of at most one failure, so:

P(X \leq 1) = P(X = 0) + P(X = 1)

Then

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.15}*0.15^{0}}{(0)!} = 0.8607

P(X = 1) = \frac{e^{-0.15}*0.15^{1}}{(1)!} = 0.1291

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.8607 + 0.1291 = 0.9898

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

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It is three.................

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