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a. Confirm that this is a legitimate probability distribution by stating the conditions that must be satisfied and showing how they are satisfied
or
D. Based on this distribution, what is the probability that a tutor sees either three four students on a certain day?
1. Each probability value must be between 0 and 1
2. The sum of the probabilities must be 1
=
P(3) + P (4)
1. Make sure your P(x) values are between
0 and 1
1
x
2
0
4
5
3
0.14
0.16
0.05
0.11
0.18
P(x)
0.36
=
P(1)+P(2)+P(3)
+P(4)+P(5)
2. Input the P(x) values into your calculator and make sure the sum is = 1
E. Based on this distribution, what is the probability that a tutor sees exactly 10 students on a certain day?
at least
C. Based on this distribution, what is the probability that a tutor sees two students on a certain day?
x
0
1
4
5
3
2
You cannot determine the probability of 10 students because x represents the number of students that a statistics tutor may see on a given day. So in this problem, the maximum number of students the tutor may see is 5.
=
P(2)+ P(3)+P(4)+P(5)
Answer is 0.
This table is a probability distribution in which x represents the number of students that a statistics tutor may see on any given day and P(x) represents the probability that the tutor sees that number of students.
5
4
3
2
1
0
x
0.05
0.14
0.16
0.36
0.18
0.11
P(x)
b. Find the mean and the standard deviation of this distribution
= 2.19
=1.3243