ONLY NEED 2.99 ANSWERED. THANK YOU! Police plan to enforce speed limits by using
ID: 3299342 • Letter: O
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ONLY NEED 2.99 ANSWERED. THANK YOU!
Police plan to enforce speed limits by using radar traps at four different locations within the city limits. The radar traps at each of the locations L_1, L_2, L_3, and L_4 will be operated 40%, 30%, 20%, and 30% of the time. If a person who is speeding on her way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations, what is the probability that she will receive a speeding ticket? Referring to Exercise 2.95, what is the probability that a person diagnosed as having cancer actually has the disease? If the person in Exercise 2.96 received a speeding ticket on her way to work, what is the probability that she passed through the radar trap located at L_2? Suppose that the four inspectors at a film factory are supposed to stamp the expiration date on each package of film at the end of the assembly line. John, who stamps 20% of the packages, fails to stamp the expiration date once in every 200 packages: Tom, who stamps 60% of the packages, fails to stamp the expiration date once in every 100 packages: Jeff, who stamps 15% of the packages, fails to stamp the expiration date once in every 90 packages: and Pat, who stamps 5% of the packages, fails to stamp the expiration date once in every 200 packages. If a customer complains that her package of film does not show the expiration date, what is the probability that it was inspected by John? one-year period, the number of malfunctions reported by each station and the causes are shown below. Suppose that a malfunction was reported and it was found to be caused by other human errors. What is the probability that it came from station C? A paint-store chain produces and sells latex and semigloss paint. Based on long-range sales, the probability that a customer will purchase latex paint is 0.75. Of those that purchase latex paint, 60% also purchase rollers. But only 30% of semigloss paint buyers purchase rollers. A randomly selected buyer purchases a roller and a can of paint. What is the probability that the paint is latex?Explanation / Answer
Solution:- The probability that given packet which does not shows the expiration date = 0.1121
Probability that John fails packed and failed to stamp expiry date = (0.20 × 1)/200 = 0.001
Probability that Tom fails packed and failed to stamp expiry date = (0.60 × 1)/100 = 0.006
Probability that Jeff fails packed and failed to stamp expiry date = (0.15 × 1)/90 = 0.001667
Probability that Pet fails packed and failed to stamp expiry date = (0.05 × 1)/200 = 0.00025
Probability that given packet does not shows expiry date = 0.001 + 0.006 + 0.001667 + 0.00025 = 0.00892
The probability that given packet which does not shows the expiration date = 0.001/0.00892 = 0.1121
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