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Alexxx [7]
3 years ago
11

the population of a school is 400 students. Next year it is expected to be about 120% of what it is now. Choose next year's stud

ent population from the answers below. A.320 B.80 C.400 D.480
Mathematics
1 answer:
Gelneren [198K]3 years ago
5 0
Given:
this year's population: 400 students
next year's population: 120% of this year's population

this year's population x rate of next year's population = next year's population

400 students * 120% = 480 students  CHOICE D.

There will be 480 students next year.


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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
Can someone help me with this
horsena [70]
Number 5 would be D i think

7 0
3 years ago
Please please help me!!
wolverine [178]
What do u need help with??
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3 years ago
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