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Answer:
Take a look at explanation below;
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Hello!
1)
Given the table of probabilities you have to calculate the conditional probability that the result was a homeroom given that Casey was batting.
Following the general model you can calculate this probability as:
Given two events A and B that are not independent, the probability of A given that B has occurred is equal to the division between the intersection between A and B by the probability of B.
In terms of this excersise:
Reading the table, the "P(Casey)" is found on the marginals of the table, is calculated as the summation of all battings done by Casey:
P(Casey)= 0.1125+0.05+0.3375+0.025= 0.525
P(Homeroom∩Casey)= 0.025
2)
You have to calculate the probability of the batting being made by Rob given that it was a hit.
The probability of the intersection is
P(Rob∩Hit)= 0.2875
P(Hit)= 0.2875+0.3375= 0.625
I hope this helps!
