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jasenka [17]
3 years ago
12

The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m

ean of 0.025 failures per hour. (a) What is the probability that the instrument does not fail in an 8-hour shift
Mathematics
1 answer:
photoshop1234 [79]3 years ago
7 0

Answer: 0.1353

Step-by-step explanation:

Given : The mean of failures =  0.025 per hour.

Then  for 8 hours , the mean of failures = \lambda=8\times0.25=2 per eight hours.

Let X be the number of failures.

The formula to calculate the Poisson distribution is given by :_

P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}

Now, the probability that the instrument does not fail in an 8-hour shift :-

P(X=0)=\dfrac{e^{-2}2^0}{0!}=0.1353352\approx0.1353

Hence, the the probability that the instrument does not fail in an 8-hour shift = 0.1353

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Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than that of the least favorable exchange rate.

<h3>What is the exchange rate?</h3>

It is the factor by which currency conversion of two countries is done.

The most Favorable day is Friday because the exchange rate on Friday is the highest.

So, Mary will receive on Friday= 311.75 x 92.7120 x 94/100

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The least Favorable day is Wednesday because the exchange rate on Wednesday is the least.

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To get more about the exchange rate visit:

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