Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given as (a) Evaluate the marginal distribution of X. (b) Evaluate the marginal distribution of Y. (c) Find P (Y = 3 | X = 2).

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.
Chapter6: Applications Of The Derivative
Section6.5: Differentials: Linear Approximation
Problem 1YT: YOUR TURN Find dy if y=300x23,x=8, and dx=0.05.
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Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given as (a) Evaluate the marginal distribution of X. (b) Evaluate the marginal distribution of Y. (c) Find P (Y = 3 | X = 2).

f(x, y)
3
0.05
0.05
0.05
0.10
0.35
3
0.10
0.00
0.20
0.10
Transcribed Image Text:f(x, y) 3 0.05 0.05 0.05 0.10 0.35 3 0.10 0.00 0.20 0.10
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