Concept explainers
In Exercises 11–16, fill in the blanks using the named events.
[HinT: See Example 2 and the FAQ at the end of the section.]
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Finite Mathematics and Applied Calculus (MindTap Course List)
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- 3.arrow_forwardIn 42 of the 64 years from 1950 through 2014,the S& P 500 finished higher after the first five days of trading (in 2011 there was virtually no change). In 37 out of 42 years, the S&P 500 finished higher for the year. Is a good first week a good omen for the upcoming year? The following table gives the first-week and annual performance over this 64-year period. S&P 500's Annual Performance First week Higher Lower Total Higher 37 5 42 Lower 11 11 22 Total 48 16 64 a) If a year is selected at random,what is the probability that the S&P 500 finished lower for the year? b) Given that the S&P fiished lowerr after the first five days of trading, what is the proability that it finished lower for the year? c) Are the two events "first week performance" and "annual performance" independent?arrow_forwardDecide whether the following pairs of events are dependent or independent C is the event that it rains more than 10 days in Chicago next June, and D is the event that it rains more than 15 days.arrow_forward
- Is it true that 3 E {1, 3, 4, 6, 8, 9, 10}?arrow_forwardThe table below shows the lists of observed events and the frequency of occurrence of each observed events. Suppose the observed event is the number of personnel, x present in a certain company, and the frequency, the number of company with x number of personnel. The table is given below. Choices: a. 104.75b. 84.76 c. 94.76d. 74.76arrow_forward5. The probability that at least one of the events A and B will occur is P(A ∪ B) = P(A) + P(B) −P(A ∩ B). Find the probability that exactly one of the events A and B will occur.arrow_forward
- Q20. If a number x is chosen at random from the numbers -2,-1,0,1,2. Then, the probability that x²<2 is (a) (b) 5 (d) 315arrow_forwardA smoke detector system uses two devices, A and B. Suppose the probability that it will be detected by device A is 0.95, the probability that it will be detected by device B is 0.90, and the probability that it will be detected by both devices is 0.89. 1. Are A and B independent events? 2. What is the probability of the event that the smoke will not be detected? Express the question in notation and compute.arrow_forwardCan you answer the last subsection D for question 1? Then answer question #2- Section A-B?arrow_forward
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