The Student Learning Center of Franklin University surveyed students to see how
ID: 3327808 • Letter: T
Question
The Student Learning Center of Franklin University surveyed students to see how many times per week each visited SLC in a trimester. The following table shows the number of visits to SLC, X, per week students had and their probabilities.
X = # of visits
P(x)
3
0.10
4
0.23
5
0.30
6
0.27
7
0.10
Answer the following questions using the information above.
What is the probability that a student visited SLC more than 4 times a week?
_________________________________________________________________
What is the probability that a student visited SLC at least 6 times a week?
_________________________________________________________________
What is the probability that a student visited SLC at most 4 times a week?
_________________________________________________________________
What is the expected value of X? Interpret it.
___________________________________________________________________
Give at least two reasons to explain why this is a valid probability distribution:
_____________________________________________________________________________
_____________________________________________________________________________
X = # of visits
P(x)
3
0.10
4
0.23
5
0.30
6
0.27
7
0.10
Explanation / Answer
a) P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) = 0.3 + 0.27 + 0.1 = 0.67
b) P(X >= 6) = P(X = 6) + P(X = 7) = 0.27 + 0.1 = 0.37
c) P(X <= 4) = P(X = 3) + P(X = 4) = 0.10 + 0.23 = 0.33
d) E[X] = X * P(X) = 3*0.1 + 4*0.23 + 5*0.3 + 6*0.27 + 7*0.1 = 5.04
e) P(X) = 1
All the probabilities are between 0 and 1 inclusive
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.