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Nastasia [14]
3 years ago
15

The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the proba

bility of an occurrence is the same in any two-time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. Refer to Exhibit 5-8. The probability that there are 8 occurrences in ten minutes is
Mathematics
1 answer:
mart [117]3 years ago
5 0

Answer:

The probablility that there are 8 occurrences in ten minutes is 0.00518 or 0.5%.

Step-by-step explanation:

The distribution that represents the ocurrence of this events is the Poisson distribution.

The probability of having k events in a ten-minute-period can be expressed as:

P(x=k)=\frac{ \lambda^ke^{-k}}{k!}

being λ the mean number of occurrences in ten minutes.

The probablility that there are 8 occurrences in ten minutes can be calculated as:

P(x=k)=\frac{ \lambda^ke^{-k}}{k!}\\\\P(x=8)=\frac{5.3^8e^{-8}}{8!}=\frac{(622596*0.000335463)}{40320}=0.00518

The probablility that there are 8 occurrences in ten minutes is 0.00518 or 0.5%.

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FIND THE EXACT AREA OF THE SHADED <br> PLEASE HELP ILL GIVE BRAINLIESTTTTTT
astra-53 [7]
1)
area of half of the circle: 628.32
are of parallelogram: 4000
Exact area of shaded: 3,371.68 cm squared.
The answer to the equation under the shape is: A = 4000 - 628.32 π in²

2)
area of both circles added together: 173.18
full area of rectangle: 220.5
Exact area of shaded: 47.32
The answer to the equation under the shape is: A = 220.5 - 173.18 π in²

Hope this helps!
Please give Brainliest!
8 0
2 years ago
Theresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bit
posledela

Answer:

Not enough information provided

Step-by-step explanation:

To find the difference between one terabyte and the storage available to the other mediums, we would need to know the storage available to those mediums.  They can all have potentially different amounts of storage space, so we have no way to answer that part of the question.

We can however find out how many bits her computer has.  There are two lines of thought  to follow though.  kilo, mega, giga etc each generally note a multiple of 1000 in common terms.  In computer tech though, the number 1024, or 2¹⁰, is often used instead.

Starting with the layman's powers of 10, a terabyte is a thousand gigabytes, which in turn is a thousand megabytes, which is a thousand kilobytes, which is a thousand bytes.

That means that a terabyte stores 1 × 10¹² bytes.  A byte however is eight bits, giving us 8 × 10¹² bits.

Using the nerdier powers of 2 then, a byte is eight bits, so we'll call that 2³.  We then go up by multiples of 2¹⁰.  With the same logic above, a terabyte is 2¹⁰ gigabytes, which is 2¹⁰ megabytes, which is 2¹⁰ kilobytes, which is 2¹⁰ bytes.  Adding the exponents up, then a terabyte would be 2⁴³ bits

So depending on whether you use the powers of ten or powers of 2 conventions, then a terabyte is either 8 × 10¹² bits, or 2⁴³ bits.

If you want to express the latter as a power of ten for proper scientific notation, then it would be 8.796093022208 × 10¹² - a rather useless way of expressing it, but just to cover all bases.

3 0
3 years ago
4232 divided by 18 also estimate
igomit [66]
4232 divided by 18 equals 235.1
6 0
3 years ago
2+1/6y=3x+4 solve for y
sertanlavr [38]
<span>2+1/6y=3x+4 solve for y
</span>
Answer y=18x+12
6 0
3 years ago
Read 2 more answers
Fill in the blank with a fraction to make a true statement: 1/3 + _____ = 1/2
HACTEHA [7]

Answer:

1/6

Step-by-step explanation:

1/3 + /1/6= 1/2

Because 1.5 is half of 3

5 0
2 years ago
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