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3 years ago

PLZ HELP if u know the amswer

Mathematics

2 answers:

laila [671]3 years ago

5 0

The answer is 1over15x(19x-81)

Hunter-Best [27]3 years ago

3 0

Answer:

The correct answer is the last option (d.)

Step-by-step explanation

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Assume that the number of messages input to a communication channel in an Exponential distribution with 7 messages arriving in a

NARA [144]

The probability that more than 3 messages will arrive during a 30-second interval is $P(X=n)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^n}{n!}$ .

According to the statement

we have given that the an Exponential distribution with 7 messages arriving in a 10 second period and we have to find the probability that more than 3 messages will arrive during a 30-second interval.

So, For this purpose, we know that the

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.

And the given information is that :

3 messages will arrive during a 30-second interval.

Then

Probability = P(X=1) + P(X=2) + P(X=3).Then

The probability become according to the exponential distribution:

$P(X=1)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^1}{1!}\\P(X=2)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^2}{2!}\\P(X=3)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^3}{3!}\\$

And then substitute the values in it then

$Probability = \dfrac{e^{-0.3 \times 20} (0.3 \times 20)^1}{1!}\ +\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^2}{2!}\ + \dfrac{e^{-0.3 \times 20} (0.3 \times 20)^3}{3!}\\$

This is the probability.

So, The probability that more than 3 messages will arrive during a 30-second interval is $P(X=n)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^n}{n!}$ .

Learn more about probability here

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7 0

1 year ago

There were some people no a boat 26 people got off the boat at the first dock 22 people got off the boat now there ate 74 people

kramer

Answer:

Step-by-step explanation:

Let the initial number of people on the boat be x:

x - 26 - 22 = 74

x -48 = 74

x = 74 + 48

x = 122

Answered by G a u t h m a t h

7 0

2 years ago

Five times the sum of a number and 7 is 8

denis-greek [22]

Answer:

(x + 7) 5 = 8

Step-by-step explanation:

A number = x

Sum = addition

(x + 7)

Five times would be

(x + 7) 5

And if equivalent to 8 then…

(x + 7) 5 = 8

7 0

2 years ago

Select all the correct answers.

Tanya [424]

Answer:

x=24

y=21

Step-by-step explanation:

ok budy mark me as brainlsit

8 0

2 years ago

Read 2 more answers