The following table represents the joint probability distribution of the number of people waiting to cross intersection A and intersection B at any given time. B=0 B=1 B=2 B=3 PA (A= a) A = 0 0.062 0.12 0.04 0.13 A= 1 0.02 0.05 0.044 A= 2 0.07 0.06 0.11 0.01 A= 3 0.16 0.02 0.226 PB (B=b) 0.246 a. Determine the probability of three people waiting to cross intersection A and one person waiting to cross intersection B. Answer in fraction or in exact decimals b. What is the probability of a total of at most two people waiting to cross both intersections A and B? Answer in fraction or in exact decimals c. If there are at least two people waiting to cross intersection B, what is the probability of two people waiting to cross intersection A? Answer in exact fraction or rounded to at least 4 decimal places
The following table represents the joint probability distribution of the number of people waiting to cross intersection A and intersection B at any given time. B=0 B=1 B=2 B=3 PA (A= a) A = 0 0.062 0.12 0.04 0.13 A= 1 0.02 0.05 0.044 A= 2 0.07 0.06 0.11 0.01 A= 3 0.16 0.02 0.226 PB (B=b) 0.246 a. Determine the probability of three people waiting to cross intersection A and one person waiting to cross intersection B. Answer in fraction or in exact decimals b. What is the probability of a total of at most two people waiting to cross both intersections A and B? Answer in fraction or in exact decimals c. If there are at least two people waiting to cross intersection B, what is the probability of two people waiting to cross intersection A? Answer in exact fraction or rounded to at least 4 decimal places
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:The following table represents the joint probability distribution of the number of people waiting to cross intersection A and intersection B at any given
time.
B=0
B=1
B=2
В - 3
PA (A= a)
A = 0
0.062
0.12
0.04
0.13
A = 1
0.02
0.05
0.044
A = 2
0.07
0.06
0.11
0.01
A = 3
0.16
0.02
0.226
PB (B=b)
0.246
a. Determine the probability of three people waiting to cross intersection A and one person waiting to cross intersection B.
Answer in fraction or in exact decimals
b. What is the probability of a total of at most two people waiting to cross both intersections A and B?
Answer in fraction or in exact decimals
c. If there are at least two people waiting to cross intersection B, what is the probability of two people waiting to cross intersection A?
Answer in exact fraction or rounded to at least 4 decimal places
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