Use the CDF to compute for the following probabilities: 18. P(Y ≤ -1.6) 19. P(Y ≥ 0.75) 20. P(Y > 2.3)

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.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 43CR
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Use the CDF to compute for the following
probabilities:
18. P(Y ≤ -1.6)
19. P(Y ≥ 0.75)
20. P(Y > 2.3)
21. P(-0.5 ≤Y < 14)
22. P(1.5 <Y ≤ 15.2)
Transcribed Image Text:Use the CDF to compute for the following probabilities: 18. P(Y ≤ -1.6) 19. P(Y ≥ 0.75) 20. P(Y > 2.3) 21. P(-0.5 ≤Y < 14) 22. P(1.5 <Y ≤ 15.2)
The cumulative distribution function (CDF) of
a continuous random variable Y is as follows:
y < 2
2 ≤ y < 5
F(y) =
0
(y-2)²
18
1 -
1
(8-y)²
18
5 ≤ y ≤ 8
y ≥ 8
Use the CDF to compute for the following
probabilities:
Transcribed Image Text:The cumulative distribution function (CDF) of a continuous random variable Y is as follows: y < 2 2 ≤ y < 5 F(y) = 0 (y-2)² 18 1 - 1 (8-y)² 18 5 ≤ y ≤ 8 y ≥ 8 Use the CDF to compute for the following probabilities:
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