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Aleks [24]
3 years ago
5

HELP? I don't understand at all!!​

Mathematics
1 answer:
ivanzaharov [21]3 years ago
8 0
I do not know at all I am sorry
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The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m
Mazyrski [523]

Answer:

The probability that the instrument does not fail in an 8-hour shift is P(X=0) \approx 0.8659

The probability of at least 1 failure in a 24-hour day is P(X\geq 1 )\approx 0.3508

Step-by-step explanation:

The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:

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

Let X be the number of failures of a testing instrument.

We know that the mean \mu = 0.018 failures per hour.

(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:

For an 8-hour shift, the mean is \mu=8\cdot 0.018=0.144

P(X=0)=\frac{e^{-0.144}0.144^0}{0!}\\\\P(X=0) \approx 0.8659

(b) To find the probability of at least 1 failure in a 24-hour day, you need to:

For a 24-hour day, the mean is \mu=24\cdot 0.018=0.432

P(X\geq 1 )=1-P(X=0)\\\\P(X\geq 1 )=1-\frac{e^{-0.432}0.432^0}{0!}\\\\P(X\geq 1 )\approx 0.3508

3 0
3 years ago
Rob was driving his car slowly and then increased its speed by 40.5 miles per hour to reach a top speed of 60 miles per hour. Wh
Lemur [1.5K]

Answer:

19.5

Step-by-step explanation:

60 - 40.5 = 19.5.

4 0
2 years ago
What digit is in the hundred millions place 812,906,435,000
Mice21 [21]
9 Is in the hundred million place 

Hope I helped! ( Smiles )
8 0
2 years ago
Read 2 more answers
Circle the fraction greater than 3/10? <br><br>1/3<br><br>3/11<br><br>4/15<br><br>Or 29/100​
mihalych1998 [28]

Answer:

1/3 is the only fraction here that is greater than 3/10.

Step-by-step explanation:

Convert these to decimals first, which can make it easier.

1/3 as a decimal is 0.33333333333333333333333333... which is greater than 0.3, which is 3/10.

3/11 as a decimal is 0.27272727272727.... which is LESS than 0.3, which is 3/10.

4/15 as a decimal is 0.26666666666666666666666666666666, which is less than 0.3, which is 3/10.

29/100 as a decimal is 0.29, which is less than 0.3, which is 3/10.

So the answer is 1/3.

3 0
2 years ago
I giveeeeeeeeeeeeeeeee brainlilstttttt
Lyrx [107]

Answer:

I think the answer is b or c

6 0
3 years ago
Read 2 more answers
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