Mathematics, 14.02.2020 20:20 stef76
Suppose a batch of widgets has a 50% prior probability of coming from supplier 1; otherwise it comes from supplier 2. Suppose 3% of supplier 1’s widgets are defective and 2% of supplier 2’s widgets are defective (independently). Ten widgets from the batch are tested.
a. What is the probability the first widget is defective?
b. What is the probability the second widget is defective?
c. What is the probability the second widget is defective given the first is defective?
d. What is the probability that the first widget is defective given the 10th widget is defective?
e. What is the probability the first widget is defective if we know it came from supplier 1?
f. What is the probability the second widget is defective if the first is defective and we know the batch came from supplier 1?
g. What are the posterior odds the batch came from supplier 1 given two widgets are tested and found defective?
h. What is the posterior probability (write the expression) that the batch is from supplier 1 if all ten widgets aredefective?
Answers: 2
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If the tip varies directly with the number of guest which equation represents between the tip,t, and the number of guest,g?
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At the beginning of the year, adrian's savings account balance was \$28$28. each week, he deposits another \$15$15 into that account, and he doesn't spend any of his savings. is his savings account balance proportional to the number of weeks since the start of the year?
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