Let X be the number of burglaries in a week. X follows Poisson distribution with mean of 1.9
We have to find the probability that in a randomly selected week the number of burglaries is at least three.
P(X ≥ 3 ) = P(X =3) + P(X=4) + P(X=5) + ........
= 1 - P(X < 3)
= 1 - [ P(X=2) + P(X=1) + P(X=0)]
The Poisson probability at X=k is given by
P(X=k) = 
Using this formula probability of X=2,1,0 with mean = 1.9 is
P(X=2) = 
P(X=2) = 
P(X=2) = 0.2698
P(X=1) = 
P(X=1) = 
P(X=1) = 0.2841
P(X=0) = 
P(X=0) = 
P(X=0) = 0.1495
The probability that at least three will become
P(X ≥ 3 ) = 1 - [ P(X=2) + P(X=1) + P(X=0)]
= 1 - [0.2698 + 0.2841 + 0.1495]
= 1 - 0.7034
P(X ≥ 3 ) = 0.2966
The probability that in a randomly selected week the number of burglaries is at least three is 0.2966
Answer and explanation:
A. What is the probability that more than half of the sample of 100 computers would need warranty service?
What is the probability that more than half of the sample of 100 computers would not need warranty service?
What is the probability that out of sample of 100 more than 20% would require warranty service?
B. If our sample of 100 computers of that brand and model reveals that 30 computers need warranty service, does this give a valid conclusion that all such computers in the population would require about 30% warranty service or less?
To get the Total amount upon investment for the compound interest, plug in the value of x into the given expression bellow
<em>A = 9,000.00(1 + x/100)^(4)</em>
Given data
Principal = $9000
Time = 4 years
Rate = x% per annum
<h3>Solution</h3>
First, convert R as a percent to r as a decimal
r = x/100
r = x/100
Then solve the equation for A
A = P(1 + x/100)^t
A = 9,000.00(1 + x/100)^(4)
A = 9,000.00(1 + x/100)^(4)
The total amount accrued, principal plus interest, with compound interest on a principal of $9,000.00 at a rate of x% per year.
Learn more about compound interest here:
brainly.com/question/24924853
Answer:
[see answer below]
Step-by-step explanation:
We would move the decimal 5 places to the left.
Hope this helps!
Answer:
$150
Step-by-step explanation:
convert the percent to decimal, 0.40, then multiply it by 250 to get 100, then subtract, 250-100=$150
