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
m= 2.5x is the equation you want to use, hope this helped! <3
It would be 9/8, 6/5, 1 1/4, 14/1
<span>To find f(2), plug in 2 for x. f(2) = 11
To find g(2), plug in 2 for x. g(2) = 2
To find (f o g) (2), plug in 2 for the composite function = 11.
To find (g o f) (2) plug in 2 for the composite function = 29.
g(f(x)) is when you plug in f(x) into g: 3(5x+1) - 4 = 15x - 1.
f(g(x)) is when you plug in g(x) into f: 5(3x-4) + 1 = 15x -19.</span>
Answer:
cost of bracelet = 25*.05 +4*.45
cost of bracelets = 2(25*.05 +4*.45)
Step-by-step explanation:
One bracelet
Supplies needed:
25 beads and 4 charms
Each bead costs .05 and each charm costs .45
Cost of bracelet = number of beads * cost per bead + number of charms * cost per charm
cost of bracelet = 25*.05 +4*.45
cost of bracelet = 1.2 +1.8
=3.00
To make 2 bracelets
Cost of bracelets =2*( number of beads * cost per bead + number of charms * cost per charm)
cost of bracelets =2*( 25*.05 +4*.45)
cost of bracelets=2( 1.2 +1.8)
cost of bracelets = 2*3
cost of bracelets = 6
