Answer:
Part a: P (14/30<x<21/30) = 0.1304
Partb: Expected value= Variance= 0.866
Step-by-step explanation:
The poisson distribution is given by
P(x)= μˣ . e^ -u/ x!
In this question
x= 1
n= 30
μ= 1/30
P(x)= μˣ . e^ -u/ x!
= 0.333. e⁻¹/³⁰/1!
= 0.33*0.967/1
= 0.32208
For 2 weeks
x= 14
n= 30
μ= 14/30
P(x)= μˣ . e^ -u/ x!
= 0.467. e⁻¹⁴/³⁰/14!
= 0.467*0.627/14!
= 0.29285/14!
=3.359*e⁻¹²
= 0.0139
For 3 weeks
x= 21
n= 30
μ= 21/30
P(x)= μˣ . e^ -u/ x!
= 0.7* e⁻²¹/³⁰/21!
= 0.7*0.4965/21!
= 0.3476/21!
=6.8037*e⁻²¹
= 0.11648
Part a:
P (14/30<x<21/30) = P (x= 14/30) + P (x=21/30)
(0.0139 +0.11648) =0.1304
Part b:
Probability of Not receiving the call for two weeks = 1- P (x= 14/30)=0.9861
<u><em>The mean and the variance of the Poisson distribution are equal to μ </em></u>
For x= 14
Expected value not getting wrongly dialed phone call in 2 week = μ= 1-14/30 = 1-0.467= 0.533
Variance of not getting wrongly dialed phone call in 2 week= μ=1- 14/30= 1-0.467= 0.533
Expected value of the additional time until the next wrongly dialed phone call
Expected value not getting wrongly dialed phone call in 2 weeks + Expected value of next wrongly dialed phone call in a month
= 0.533+0.33=0.866
Variance of the additional time until the next wrongly dialed phone call
= Expected value of the additional time until the next wrongly dialed phone call =0.866
Let l = length
Let w = width
l + w = 24
143 = lw
We have two equations and two unknowns.
Can you proceed?
Answer:
18*2/3+12
Step-by-step explanation:
So, out of 18, she only uses 2/3, so it will be 18*2/3, plus the additional 12 she downloaded.
Answer:
is the measure of an angle that is the supplement of angle K=180-150=30
A.is your answer
Answer:
Step-by-step explanation:
In order to obtain the total amount that Monica was charged you should follow some steps.
How much was the net price? You can obtain this value either by clearing the x:
X * 5% = $1.50
X = $1.50 / 5%
Or by using simple rule of three:
If 5% is $1.50
Then 100% is X
So you obtain = $30
Now you just need to sum The net prices and the taxes
Net + tax = Total Charge
$30 + $1.5 = $31.5
