Answer: a) P(x=0) = 0.0907, b) P(x≥10) = 0.7986
Step-by-step explanation: the probability mass function of a possion probability distribution is given as
P(x=r) = (e^-λ)×(λ^r) /r!
Where λ = fixed rate at which the event is occurring and each event is independent of each other = 2.4
a) P(x= at least one) = P(x≥1)
P(x≥1) = 1 - P(x<1)
But P(x<1) = P(x=0) { we can not continue to negative values because our values of x can only take positive values of integer}
Hence, P(x≥1) = 1 - P(x=0)
P(x=0) = e^-2.4 * 2.4^0/(0!)
P(x=0) = 0.0907×1/1
P(x=0) = 0.0907
b) if the average number of hits in 1 minutes is 2.4 then for 5 minutes we have 2.4×5 = 12.
Hence λ = 12.
P(x= at least 10) =P(x≥10) = 1 - P(x≤9)
P(x≤9) will be gotten using a cumulative possion probability distribution table whose area is to the left of the distribution.
From the table P(x≤9) = 0.2014.
P(x≥10) = 1 - 0.20140
P(x≥10) = 0.7986
Answer: x = -3
Step-by-step explanation:
i simply divided by -7, in order to get x by itself.
-7/-7x = 21/-7
that cancels out the -7 on the left side, and leaves us with -3 on the right side!
x = -3
Answer:
or 38
Step-by-step explanation:
If Q is the midpoint of Line PR, then lines PQ and QR add up to equal Line PR. We then get

If you want to know the exact number that PR is, we can do additional steps where PQ = QR.

Answer:
5
x^2 + 2y^2 + 12x + 5y
Step-by-step explanation:
6x + 2y +y^2 + 6x + 2y + y^2 + 4x^2 + x^2 + y
12x +y^2 + 4y + y^2 + 4x^2 + x^2 + y
12x + 2y^2 + 4x^2 + x^2 + 5y
2y^2 + 5x^2 + 12x + 5y
5
x^2 + 2y^2 + 12x + 5y
Answer:
33 if evaluate means solve