The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.594.
<h3>What is probability?</h3>
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes.
a = 0
b = 8
Let's suppose the x is the waiting time:
Density function f(x)= 1/(b-a) = 1/8
P(X > 3.25) = 1 - P(x < 3.25)
![\rm 1 - [\int\limits^8_0 {\dfrac{1}{8}} \, dx ]](https://tex.z-dn.net/?f=%5Crm%201%20-%20%5B%5Cint%5Climits%5E8_0%20%7B%5Cdfrac%7B1%7D%7B8%7D%7D%20%5C%2C%20dx%20%5D)
After solving and plugging the upper and lower limit:
= 1 - (3.25/8)
= 0.59375 ≈ 0.594
P(X > 3.25) = 0.594
Thus, the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.594.
Learn more about the probability here:
brainly.com/question/11234923
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Answer:
444/5
Step-by-step explanation:
Answer: c)She should have multiplied 15 by 3 instead of dividing.
Step-by-step explanation:
Number of quilts Ruby plan to make in one month= 3
which means if Ruby makes more than 3 quilts, the time will be more than 1 month.
To find the number of months to make 15 quilts, she need to divide 15 by 3
Thus, the number of months to make 15 quilts=5
Her answer was 1/5 which was absolutely wrong as if she is making 3 quilt in 1 month then in 1/5 month she would make fewer than 3 quilts.
She divides 3 by 15 instead of 15 by 3, thus but the unit is quilts not months.
Thus the only wrong option is c)She should have multiplied 15 by 3 instead of dividing.
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