Let A, B, and C be three events of the sample space S such that n(S)=60, n(A)=30, n(B)=18, n(C)=36 and the union of A and B is C. Find P(A and B). 0.3 0.2 0.8 O 0.7
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A: From the provided information, P (E1) = 0.40 and P (E2) = 0.60 P (D|E1) = 0.35 and P (D|E2) = 0.65
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Q: QUESTION 24 Let A and B be the two events of a sample S such that P(AUB)= 0.90,P(ANB) = 0.35,P(BNA)…
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Q: Let A and B be the two events of a sample S such that P(AUB) = 0.90, P(ANB) = 0.35, P(ĒNA) = 0.30…
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- A с B AG BG CG DG D AB BB CB DB Blue AR BR CR DR Red A person spins both of the spinners below. (Assume they are equally sp 1. What is the sample space? AB AY BB BY CB CY DB DY 2. What is the size of the sample space? 3. What is the probability of spinning "Blue" or "C"? Yellow 4. What is the probability of spinning "Blue" and "C"? Blue Green decQ1. The table below shows voters choose at random between African American and African American democrats: Republican Democrats Total African-American 4 12 16 White/others 44 40 84 Total 48 52 100 Using the above table find the probability that the voter is either African American or DemocratIn the diagram below, all circles represent products and the shaded circles represent defective products. If three items are drawn at random from the lot, what is the probability that they are not defective? оооо ооо оо оо 0000 0 а. 0.5113 0 b. 0.4233 О с. 0.7234 Od. 0.8095 0 e. 0.0030
- What is the probability that the student was female and got a BThe accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. a. Find the probability of getting exactly 6 girls in 8 births. b. Find the probability of getting 6 or fewer girls in 8 births.Which of the following statements of random experiments and events is NOT true? The set A = {(H,H), (H,T), (T,H), (T,T)} is %3D an event in tossing a coin three times. The set D = {M, F} is an event in selecting a student from a class. The set B = {7 of hearts, 7 of spades, 7 of diamonds, 7 of clubs} is an event of drawing a card from a regular deck. The set C = {1, 3, 5} is an event in rolling a dice.
- Sample space S is partitioned into E₁, E₂, E3, and E4 such that P(E₁)=0.12, P(E₂)=0.09, and P(E3) = 0.49. a. Find P(E4). b. Find the odds in favor of and the odds against E4 occurring. a. P(E4)= (Simplify your answer.) b. The odds in favor of E4 occurring, in lowest terms, are (Type whole numbers.) The odds against E4, in lowest terms, are (Type whole numbers.)I don't understand #4Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks(Barron's}, February 18, 2008). Assume that for the population of all unemployed individuals, the populationmean length of unemployment is 17.5 weeks and that the population standard deviation is 4 weeks. Supposeyou would like to select a random sample of 50 unemployed individuals for a follow-up study.(a) What is the probability that a sample of 50 unemployed individuals will provide a samplemean more than 20 weeks?(b) What is the probability that a sample of 50 unemployed individuals will provide a samplemean within 1 week of the population mean?
- Please help meLet A and B be events in a sample space S such that P(A) = 21/100, P(B) = 2/5, and P(AB) = 13/100. Find P( B | Ac ). A) 0.3148 B) 0.5250 C) 0.5063 D) 0.1646 E) 0.6750K Suppose there is a 22.1% probability that a randomly selected person aged 30 years or older is a smoker. In addition, there is a 24.3% probability that a randomly selected person aged 30 years or older is male, given that he or she smokes. What is the probability that a randomly selected person aged 30 years or older is male and smokes? Would it be unusual to randomly select a person aged 30 years or older who is male and smokes? The probability that a randomly selected person aged 30 years or older is male and smokes is Would it be unusual? O Yes O No www (Round to three decimal places as needed.). wew