Independent of the event
A pair of fair dice is rolled. Let E denote the event that the sum of the dice is equal to 7.
(a) Show that E is independent of the event that the first die lands on 4.
(b) Show that E is independent of the event that the second die lands on 3.
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If the lot currently under examination is 11% defective, what is the probability that this decision rule will lead the quality control inspector to the correct decision?
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On a multiple choice test with 11 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the standard deviation for the number of correct answers.
A pair of fair dice is rolled. Let E denote the event that the sum of the dice is equal to 7. Show that E is independent of the event that the first die lands on 4.
Determine(a) the total velocity of the collar, (b) the total acceleratin of the collar, (c) the relative acceleration of the collar with respect to the arm.
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In a study, 39% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people living close to a nuclear power plant. Among 13 adults randomly selected from this area, only 3 reported that their he
A manufacturer of car parts ships five exhaust gas temperature sensors, each of which is independently declared to be either conforming or not conforming. Assume that the probability that a sensor is conforming is 0.75. Let X be the number of sens
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