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Answer:
(a) The probability that a text message user receives or sends three messages per hour is 0.2180.
(b) The probability that a text message user receives or sends more than three messages per hour is 0.2667.
Step-by-step explanation:
Let <em>X</em> = number of text messages receive or send in an hour.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em>.
It is provided that users receive or send 62.7 text messages in 24 hours.
Then the average number of text messages received or sent in an hour is: .
The probability of a random variable can be computed using the formula:
(a)
Compute the probability that a text message user receives or sends three messages per hour as follows:
Thus, the probability that a text message user receives or sends three messages per hour is 0.2180.
(b)
Compute the probability that a text message user receives or sends more than three messages per hour as follows:
P (X > 3) = 1 - P (X ≤ 3)
= 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3)
Thus, the probability that a text message user receives or sends more than three messages per hour is 0.2667.
The sum of ( x +
) + (
x -
) is
x +
Step-by-step explanation:
To add or subtract 2 fractions, they must have same denominators, if they not do that
- Find the Lowest common multiple of the two denominators (LCM)
- Replace each denominator by it
- Divide The LCM by each denominator and multiply the numerator of each fraction by its quotient
∵ ( x +
) + (
x -
)
- Let us start with adding the like terms
∴ ( x +
) + (
x -
) = (
∵ ( x +
x ) have same denominators, then we can add them
∴ ( x +
x ) =
x
∵ ( -
) do not have the same denominators, then we must find
LCM of 8 and 4
- The LCM of 8 and 4 is 8 because 8 is the first common multiple
of 8 and 4
∵ LCM of 8 and 4 is 8
- Divide 8 by the denominator 4
∵ 8 ÷ 4 = 2
- Multiply the numerator of the fraction by 2
∴
∴ ( -
) = (
-
) =
∴ ( x +
) + (
x -
) =
x +
The sum of ( x +
) + (
x -
) is
x +
Learn more:
You can learn more about the fractions in brainly.com/question/2456302
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