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:
m(WXY) = 224°
Step-by-step explanation:
Measure of inscribed angle = ½ the measure of intercepted arc
Therefore:
m<C = ½*m(WXY)
112° = ½*m(WXY) (substitution)
Multiply both sides by 2
2*112° = m(WXY)
224° = m(WXY)
m(WXY) = 224°
Positive I think that would be it
Answer:
A. c = 0.31b
Step-by-step explanation:
$7.44 = 24 juice bottles
[Divide by 24 on both sides]
$0.31 = 1 juice bottle
The cost is equal to the amount per juice bottle times the number of juice bottles, so:
c = 0.31b
(A trick to use when you don't know the answer: If there are multiple answers with the same numbers but the decimal places are in different places, it is probably one of those answers.)
A = allowance
(1/2)a = what have left after Monday
(1/2(1/2)a = what you have after Tuesday
(1/2)(1/2)(1/2)a = what you have after Wednesday.
Doing the multiplication.
(1/8)a = what you have left.
You have 1/8 of what you had at the start.
