Answer:
a) P(t>3)=0.30
b) P(t>10|t>9)=0.67
Step-by-step explanation:
We have a repair time modeled as an exponentially random variable, with mean 1/0.4=2.5 hours.
The parameter λ of the exponential distribution is the inverse of the mean, so its λ=0.4 h^-1.
The probabity that a repair time exceeds k hours can be written as:
(a) the probability that a repair time exceeds 3 hours?
(b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours?
The exponential distribution has a memoryless property, in which the probabilities of future events are not dependant of past events.
In this case, the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours is equal to the probability that a repair takes at least (10-9)=1 hour.
Answer:
<h2>0.1</h2><h2>
Step-by-step explanation:</h2>
please see attached the annotated solution
Given data
p=20%= 0.2
n=15 companies
let x = 5 the number of companies that outsource to overseas consultants
The binomial probability distribution is given as
P(x=λ)=nCx*P^x*q^n-x
we also know that q=1-p
Your answer is 9 is in the hundred thousands place because it is 9 hundred and sixty eight thousand and six hundred and foutry six.
Your answer would be:
Formula: I = P * r * t
P = Principle $5000
R = Rate 2.5% per year, or in decimal form, 2.5/100 =0.025
T = Time involved 7 years time period
I = Interest
Part A:
P = 5000
R = 2.5%, or .025
Part B: Riley To find the simple interest, we multiply
I = 5000 * 0.025 * 7
T = 7
The Interest is = $875.00
Part C: Investment Balance = Investment + Interest
Usually the interest is added onto the principal t figure out the new amount after 7 years.
= $5000.00 + $875
= $5875.00
Ex. if you borrowed $5000, you would now owed $5875.00
Hope that helps!!!
