Answer:
The probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.
Step-by-step explanation:
Let <em>X</em> = number of students arriving at the 10:30 AM time slot.
The average number of students arriving at the 10:30 AM time slot is, <em>λ</em> = 3.
A random variable representing the occurrence of events in a fixed interval of time is known as Poisson random variables. For example, the number of customers visiting the bank in an hour or the number of typographical error is a book every 10 pages.
The random variable <em>X</em> is also a Poisson random variable because it represents the fixed number of students arriving at the 10:30 AM time slot.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 3.
The probability mass function of <em>X</em> is given by:

Compute the probability of <em>X</em> = 2 as follows:

Thus, the probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.
Answer:
x = k - 3
Step-by-step explanation:
Given parameters:
Gradient of the line = 5;
Coordinates; M(x, 8)
N(k, 23)
Solution:
If we use the expression for finding the slope of the line, we can solve this problem;
Slope = 
where
x₁ = x y₁ = 8
x₂ = k y₂ = 23
Input the parameters:
5 = 
15 = 5(k - x)
3= k- x
k - x = 3
Express x in terms of k;
-x = 3 - k
Multiply through by -1;
x = -3 + k
x = k - 3
Answer:
Step-by-step explanation:
w + g = 52
w = 4g - 3
(4g - 3) + g = 52
5g - 3 = 52
5g = 52 + 3
5g = 55
g = 55/5
g = 11....there are 11 green marbles
w + g = 52
w + 11 = 52
w = 52 - 11
w = 41 <=== there are 41 white marbles
10 1/3.
EXPLANATION
41 1/3 tons divided by 4 trucks = 10 1/3 tons per truck.
HOPE THIS HELPED HAVE A GUD DAY!
1+3+6=10
40=10 units
diidde by 10
4=1unit
4 times 1=4
4 times 3=12
4 times 6=24
they paid $4, $12 and $24