Answer:
0.0244 (2.44%)
Step-by-step explanation:
defining the event T= the chips passes the tests , then
P(T)= probability that the chip is not defective * probability that it passes the test given that is not defective + probability that the chip is defective * probability that it passes the test given that is defective = 0.80 * 1 + 0.20 * 0.10 = 0.82
for conditional probability we can use the theorem of Bayes. If we define the event D=the chip was defective , then
P(D/T)=P(D∩T)/P(T) = 0.20 * 0.10/0.82= 0.0244 (2.44%)
where
P(D∩T)=probability that the chip is defective and passes the test
P(D/T)=probability that the chip is defective given that it passes the test
Answer: y=12.287
Step-by-step explanation:
Answer:
10 servings
Step-by-step explanation:
Divide the total juice available, 2 quarts, by the serving size, (1/5) quart per serving:
2 quarts 2 5
--------------------------- = ---- · ------ servings = 10 servings
(1/5) quart/serving 1 1
Answer:
The father is 50 and his son is 15.
Step-by-step explanation:
Double the tens digit of the father's age = 10
Plus 5 = 15 (the age of the son)
50 + 15 = 65 (the sum of their ages)
The reverse of the digits of the son's age is 51.
Subtract 1 = 50 (the age of the father)