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
Answer:
x=2
y=7
Step-by-step explanation:
Since we know that the object is a rectangle, we know that the opposite sides are equal to each other. Thus:
9 = y+2
and
2y = 7x
Using algebra we can solve the first equation:
9 = y+2
9-2 = y
7 = y
Now we can use substitution:
2y = 7x
2(7)=7x
14=7x
x=2
<span> At the beginning there are 3 dimes out of 10 coins:
P(first coin is a dime) = 3/10
After that there are 3 nickels out of 9 remaining coins:
P(second coin is a nickel) = 3/9 = 1/3
P(dime, then nickel) = P(first coin is a dime) x P(second coin is a nickel)
= 3/10 x 1/3
= 1/10
Answer:
1/10 . if im wrong im sorry </span>
<span />
Answer 5.4
Step-by-step explanation:
Answer:
Something happens...
Step-by-step explanation:
