Answer:
The correct option is D.
Step-by-step explanation:
From the given above it is clear that coordinate pairs of given function are
f = {(1,1.25), (2,2.50), (5,6.25), (15,18.75), (20,25.00)}
If a function is defined as
then the inverse of function is defined as
The coordinate pairs of inverse of given function are
f⁻¹ = {(1.25,1), (2.50,2), (6.25,5), (18.75,15), (25.00,20)}
These coordinate pairs represents by table in option D.
Therefore the correct option is D.
Answer:
See below ↓
Step-by-step explanation:
<u>Problem</u>
<u>Work</u>
<u>Solution</u>
Answer:
Probability that the wait time is greater than 37 minutes is 0.3474.
Step-by-step explanation:
We are given that the random variable X is known to be exponentially distributed and X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes.
<u><em>Let X = waiting time for a car to pass by on a country road</em></u>
The probability distribution function of exponential distribution is given by;
where,
= parameter of distribution.
Now, the mean of exponential distribution is = which is given to us as 35 minutes that means
.
So, X ~ Exp( )
Also, we know that Cumulative distribution function (CDF) of Exponential distribution is given as;
, x > 0
Now, Probability that the wait time is greater than 37 minutes is given by = P(X > 37 min) = 1 - P(X 37 min)
P(X 37 min) =
{Using CDF}
= 1 - 0.3474 = 0.6525
So, P(X > 37 min) = 1 - 0.6525 = 0.3474
Therefore, probability that the wait time is greater than 37 minutes is 0.3474.
Answer:
The total number of codes which can be assigned is, 55440 .
Step-by-step explanation:
According to the question, the home alarm system randomly assigns a five-character code for each customer.The code will not repeat a character and there are 11 distinct characters.
So, the total number of codes that can be randomly assigned is given by,
=
=
= 55440