Answer:
(a) 3.75
(b) 2.00083
(c) 0.4898
Step-by-step explanation:
It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].
(a)
Compute the mean of X as follows:
(b)
Compute the variance of X as follows:
(c)
Compute the value of P(X < 3.7) as follows:
Thus, the value of P(X < 3.7) is 0.4898.
According to the question statement, the total sum of students is 221, which includes the students that ride on bus and the students that ride in a van.
The students that ride in a van are five, the students that ride on bus are 6 times s which is the product of the number of buses and the number of students that are on each bus.
Write all this information into an equation, this way:
Now, solve the equation for s to find the number of students that are on each bus.
There are 36 students on each bus.