Jessica‘s mom is 30. Jessica‘s daughter is zero years old. Jessica‘s mom had Jessica at 15 years old. Jessica is 15 years old. J
1 answer:
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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:
The initial amount Sam charges is [$4 greater than] the initial amount Sully charges. Sam’s hourly rate is [$2 less than] Sully’s hourly rate.
A graph is attached for reference.
Step-by-step explanation:
Given is the graph that represents the amount in dollars that Sam charges in terms of the number of hours he works.
Where two points are (0,40) and (1,60).
Finding the slope,
Let us find the equation now,
Substituting (0,40) as (x1,y1) and slope m = 20
Here the 'y' intercept represents the initial charge of Sam.
On comparing the equations of Sam and Sully we observe that Sam initial charge is dollars.
And Sully's initial charge is dollars.
Thus Sam's initial charge is $4 greater than Sully's.
Similarly,
Slope represents their per hour charge.
The coefficient of 'x' represents their slope,
Slope in case of Sam,
is
And
Slope in case of Sully,
is
Thus on observing the slope 20 and 22, we say that the per hour charge of Sam is $2 less than that of Sully's.
