Let x be the number of courses for which a randomly selected student at a certain university is registered. The probability distribution of x appears in the table shown below: X 1 2 .05 .04 p(x) (a) What is P(x = 4)? P(x = 4) = (b) What is P(x ≤ 4)? P(x ≤ 4) = 3 .07 4 .24 5 6 7 .36 .14 .10 (c) What is the probability that the selected student is taking at most five courses? P(at most 5 courses) = (d) What is the probability that the selected student is taking at least five courses? more than five courses? P(at least 5 courses) = P(more than 5 courses) = (e) Calculate P(3 ≤ x ≤ 6) and P(3 < x < 6). P(3 ≤ x ≤ 6) = P(3 < x < 6) =
Let x be the number of courses for which a randomly selected student at a certain university is registered. The probability distribution of x appears in the table shown below: X 1 2 .05 .04 p(x) (a) What is P(x = 4)? P(x = 4) = (b) What is P(x ≤ 4)? P(x ≤ 4) = 3 .07 4 .24 5 6 7 .36 .14 .10 (c) What is the probability that the selected student is taking at most five courses? P(at most 5 courses) = (d) What is the probability that the selected student is taking at least five courses? more than five courses? P(at least 5 courses) = P(more than 5 courses) = (e) Calculate P(3 ≤ x ≤ 6) and P(3 < x < 6). P(3 ≤ x ≤ 6) = P(3 < x < 6) =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Let x be the number of courses for which a randomly selected student at a certain university is registered. The probability distribution of x appears in the table
shown below:
X
1
.05
p(x)
(a) What is P(x = 4)?
P(x = 4) =
(b) What is P(x ≤ 4)?
P(x ≤ 4) =
-
2
.04
=
3
.07
4
.24
=
5
.36
(c) What is the probability that the selected student is taking at most five courses?
P(at most 5 courses)
6
.14
7
(d) What is the probability that the selected student is taking at least five courses? more than five courses?
P(at least 5 courses)
P(more than 5 courses)
(e) Calculate P(3 ≤ x ≤ 6) and P(3 < x < 6).
P(3 ≤ x ≤ 6) =
P(3 < x < 6) =
.10
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