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snow_lady [41]
3 years ago
14

1) 7 < 3 – 2x

Mathematics
1 answer:
Aleksandr [31]3 years ago
7 0

Answer:

1) -2 > X

Step-by-step explanation:

7 < 3 - 2x

collecting like terms

7 - 3 < -2x

4 < -2x

4/-2 < -2x/-2

changing direction to greater than because of the negative sign

-2 > x

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Suppose the number of messages that an inbox receives may be modeled by a Poisson distribution. If the average number of message
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Answer:

0.36427

Step-by-step explanation:

Mean = λ = 18 messages per hour

P(X = x) = (e^-λ)(λ⁻ˣ)/x!

P(X ≤ x) = Σ (e^-λ)(λ⁻ˣ)/x! (Summation From 0 to x)

But the probability required is that the messages thay come in an hour is between 15 and 20, that is, P(15 < X < 20)

P(15 < X < 20) = P(X < 20) - P(X ≤ 15)

These probabilities will be evaluated using a cumulative frequency calculator.

P(X < 20) = 0.65092

P(X ≤ 15) = poissoncdf(18, 15) = 0.28665

P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.

You can use the Poisson distribution calculator here

https://stattrek.com/online-calculator/poisson.aspx

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Step-by-step explanation:

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