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:
$1,161.18 (assuming if interest rate is 3%)
Step-by-step explanation:
Kindly check the attached picture for explanation
Answer:
i think its 24x-12? sorry if it is wrong
Answer:
Step-by-step explanation:
x = 1
Step 1: Simplify both sides of the equation.
20x−−2x−16=6
20x+2x+−16=6
(20x+2x)+(−16)=6(Combine Like Terms)
22x+−16=6
22x−16=6
Step 2: Add 16 to both sides.
22x−16+16=6+16
22x=22
Step 3: Divide both sides by 22.
22x
22
=
22
22
