Suppose you choose four people at random from a Statistics class in which you know 20% of the students have an A average. Let X be the number of students in your sample who have an A average. Obtain the probability distribution for X and plot the probability histogram. X Probability

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
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Suppose you choose four people at random from a Statistics class in which you know 20% of the students have an A average. Let X be
the number of students in your sample who have an A average. Obtain the probability distribution for X and plot the probability
histogram.
X Probability
0 i
N
3
A
0.45
0.4
0.35
0.3
i
Probability histogram:
0.25
i
MI
0.2
0.15-
0.1
0.05-
0
0
1
2
X
Figure 1.
3
0.45
0.4
0.35
0.3
0.25
m 10 el
02
0.15
0.1
0.05
0
0
2
X
Figure 2.
3
0.45
0.4
0.35-
0.3-
0.25
02-
0.15
0.1-
0.05
0
0
1
2
X
Figure 3.
3
Transcribed Image Text:Suppose you choose four people at random from a Statistics class in which you know 20% of the students have an A average. Let X be the number of students in your sample who have an A average. Obtain the probability distribution for X and plot the probability histogram. X Probability 0 i N 3 A 0.45 0.4 0.35 0.3 i Probability histogram: 0.25 i MI 0.2 0.15- 0.1 0.05- 0 0 1 2 X Figure 1. 3 0.45 0.4 0.35 0.3 0.25 m 10 el 02 0.15 0.1 0.05 0 0 2 X Figure 2. 3 0.45 0.4 0.35- 0.3- 0.25 02- 0.15 0.1- 0.05 0 0 1 2 X Figure 3. 3
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