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3 years ago

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? 1/3 3/11 4/15 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

HELP? I don't understand at all!!​

HELP? I don't understand at all!!