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The results from a graphing calculator are in agreement.
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Answer:
3/11
Step-by-step explanation:
given that a cell phone company has three different production sites
Site name 1 2 3 Total
Production 60% 30% 10% 100%
Recalled 5% 7% 9%
Prob for recall 0.003 0.021 0.009 0.033
Total probability for recall = 0.033
Prob for recall and came from site 3 = 0.009
So required probability
= If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3
=
The expected value for each round, if there are two draws per round and the chips, are replaced after each draw is 0.4.
Given to us
Number of black chips = 2
Number of red chips = 3
Points are given for a black chip = +2
Points are given for a red chip = -1
<h3>What are the probabilities of the different cases?</h3>We know that for each round there will be 2 draws, therefore, there will be four cases,
Case1:
Probability, when both the chips drawn are black,
Case2:
Probability, when the first chip is black and the next chip is red,
Case 3:
Probability, when the first chip is red and the next chip is black,
Case 4,
Probability, when both the chips drawn are red,
The expected value of each round can be found,
E(x) = 0.4
Hence, the expected value for each round, if there are two draws per round and the chips, are replaced after each draw is 0.4.
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