You are shopping at a department store and all items currently are being sold at full price. You discover that next week the dep
2 answers:
Answer:
$10.45
Step-by-step explanation:
Original Price Sale Price
T-shirt $18.95 $8.99
Sandals $7.99 $7.50
You want to buy one T-shirt and one pair of sandals
Total cost of one T-shirt and one pair of sandals according to original price:
=
=
Total cost of one T-shirt and one pair of sandals according to sale price:
=
=
Now you will save by waiting until next week to purchase the items:
=Original price of one T-shirt and one pair of sandals- sale price of one T-shirt and one pair of sandals
=26.94-16.49
=10.45
Hence you will save $10.45 by waiting until next week to purchase the items
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Answer:
The probability that it came from A, given that is defective is 0.362.
Step-by-step explanation:
Define the events:
A: The element comes from A.
B: The element comes from B.
C: The element comes from C.
D: The elemens is defective.
We are given that P(A) = 0.25, P(B) = 0.35, P(C) = 0.4. Recall that since the element comes from only one of the machines, if an element is defective, it comes either from A, B or C. Using the probability axioms, we can calculate that
Recall that given events E,F the conditional probability of E given F is defined as
, from where we deduce that
.
We are given that given that the element is from A, the probability of being defective is 5%. That is P(D|A) =0.05. Using the previous analysis we get that
We are told to calculate P(A|D), then using the formulas we have