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Elodia [21]
3 years ago
14

A particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls invol

ve fax messages, and consider a samp what is the probability that exactly 6 of the calls involve a fax message?
Mathematics
1 answer:
Phoenix [80]3 years ago
4 0

Answer:

0.1091 or 10.91%

Step-by-step explanation:    

We have been given that a particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls involve fax messages and consider a sample of 20 calls. We are asked to find the probability that exactly 6 of the calls involve a fax message.  

We will use Bernoulli's trials to solve our given problem.

P(X=x)=^nC_x\cdot P^x(1-P)^{n-x}

P(X=6)=^{20}C_6\cdot (0.20)^6(1-0.20)^{20-6}

P(X=6)=\frac{20!}{6!(20-6)!}\cdot (0.20)^6(0.80)^{14}

P(X=6)=\frac{20!}{6!(14)!}\cdot (0.000064)(0.04398046511104)

P(X=6)=38760\cdot (0.000064)(0.04398046511104)

P(X=6)=0.1090997009730

P(X=6)\approx 0.1091\\

Therefore, the probability that exactly 6 of the calls involve a fax message would be approximately 0.1091 or 10.91%.

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The lifespan, in years, of a certain computer is exponentially distributed. The probability that its lifespan exceeds four years
kompoz [17]

Answer:

The correct answer is "0.300993e^{-0.300993x}".

Step-by-step explanation:

According to the question,

⇒ P(x>4)=0.3

We know that,

⇒ P(X > x) = e^{(-\lambda\times x)}

⇒     e^{(-\lambda\times 4)} = 0.3

∵ \lambda = 0.300993

Now,

⇒ f(x) = \lambda e^{-\lambda x}

By putting the value, we get

           =0.300993e^{-0.300993x}

3 0
2 years ago
What is the answer to this question?
Lena [83]

Answer:

3x =6

x=2

Step-by-step explanation:

5x -2 = 4+2x

Subtract 2x from each side

5x-2x -2 = 4+2x-2x

3x-2 =4

Add 2 to each side

3x-2+2 = 4+2

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Divide each side by 3

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4 0
3 years ago
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6 0
3 years ago
Ms. Lang lives in​ Lansing, Michigan. Last​ year, she made 4 round trips to​ Chicago, Illinois​ (a distance of 218 miles each​ w
Anit [1.1K]

Answer:

1312 miles

Step-by-step explanation:

To solve this, we simply need to subtract the distance she traveled in her trips to Chicago from the distance she traveled in her trips to Louisville.

She made 4 round trips to​ Chicago, Illinois​. Each of the trips is a distance of 218 miles. This means that the total distance she traveled is:

4 * 218 = 872 miles

She made 6 round trips to​ Louisville, Kentucky​/ Each of the trips is a distance of 364 miles. This means that the total distance she traveled is:

6 * 364 = 2184 miles

Therefore, the difference between the distances she traveled is:

2184 - 872 = 1312 miles

She traveled 1312 miles more in her trips to Louisville than in her trips to Chicago.

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Answer:

Step-by-step explanation:

i don't know just want points

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