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raketka [301]
2 years ago
12

Can someone help with number 13 ? I will give a brainly !!

Mathematics
1 answer:
Lostsunrise [7]2 years ago
5 0
This picture should help, i graphed it for you! : )

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The number of requests for assistance received by a towing service is a Poisson process with rate θ = 4 per hour.a. Compute the
aliya0001 [1]

Answer:

a) 9.93% probability that exactly ten requests are received during a particular 2-hour period

b) 13.53% probability that they do not miss any calls for assistance

c) 2

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

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

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

Poisson process with rate θ = 4 per hour.

This means that \mu = 4n, in which n is the number of hours.

a. Compute the probability that exactly ten requests are received during a particular 2-hour period.

n = 2, so \mu = 4*2 = 8

This is P(X = 10). So

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

P(X = 10) = \frac{e^{-8}*8^{10}}{(10)!} = 0.0993

9.93% probability that exactly ten requests are received during a particular 2-hour period

b. If the operators of the towing service take a 30-min break for lunch, what is the probability that they do not miss any calls for assistance?

n = 0.5, so \mu = 4*0.5 = 2

This is P(X = 0). So

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

P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353

13.53% probability that they do not miss any calls for assistance

c. How many calls would you expect during their break?

n = 0.5, so \mu = 4*0.5 = 2

4 0
3 years ago
It takes Sara 1/2 day to make a birdhouse. How much of the birdhouse will be built after 2/5 day?
hram777 [196]

Answer:

80%

Step-by-step explanation:

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3 years ago
Which expression is not equivalent to –3x + 24? Select all that apply.
baherus [9]

Answer:

F

Step-by-step explanation:

6 0
2 years ago
How many times greater is<br> 3.8 X 10^5 than<br> 1.9 X 10^2<br> 2<br> 20<br> 200<br> 2000
storchak [24]

Answer:

2 * 10^3 = 2000.

Step-by-step explanation:

3.8/1.9 * 10^5/10^2

= 2 * 10^3

6 0
2 years ago
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5,510 divided by 56 equals
Bond [772]
5,510 divided by 56 equals 98.392
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3 years ago
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