12 Explain the difference between σ and σ and between μ and μz.
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A: Solution Number of total cards = N = 52
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A: *Answer:
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Q: 4. If one ball each is drawn from 3 boxes, the first containing 3 red, 2 yellow, and 1 blue, the…
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A: given data
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A: From the given information we find the solution.
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A: Option D is the correct answer.
Q: .1 The probability of an event depends on the random variable X and can be expressed by the…
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Q: Let E[X] = 1. Evaluate 2. Evaluate [(a+k)f(a+b) r(a+b+k)r(a), a, b constants. E[X²] for k = 1. E[X]…
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Q: A card is selected from a deck. Find the probability that it is a number greater than or equal to 8…
A: Solution Number of total cards in a deck = N= 52
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Q: How many 4-digit pin codes can be made using the numbers 0 up to 9 if repetition is not allowed and…
A: Solution Total number of digits from 0 to 9 = 10
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Q: Given a fair die and a fair coin, what is the probability of rolling an even number and get- ting…
A: Given Total number of possible outcomes =12
Q: nas 0070 natics, ie P(X > 60). dents from the same cohort. What is the probability that at least 30…
A: *Answer:
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Q: The stock of a warehouse consists of boxes of high, medium and low quality lightbulbs in respective…
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Q: Question 14 In a class of 22 learners, 8 are females and 14 are males. Two learners are chosen from…
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- If a 95% CI for mu is (1.05, 3.95) when sigma is known a Ztest at alpha=0.05 with a Null hypothesis: mu=1 would reject the Alternative hypothesis True or Falsethey take samples of 4 fireworks for quality co from and examine them for defects. let X be the number of defective fireworks in the sample of 4.Let {Xi} from i to n be IID from Bernoulli(p). Find the MQ estimator of p.
- If X1, X2, ... , Xn constitute a random sample of size nfrom a geometric population, show that Y = X1 + X2 +···+ Xn is a sufficient estimator of the parameter θ.If X1, X2, and X3 constitute a random sample of sizen = 3 from a Bernoulli population, show that Y =X1 + 2X2 + X3 is not a sufficient estimator of θ. (Hint:Consider special values of X1, X2, and X3.)If the alleles A and B of the cystic fibrosis gene occur in a population with frequencies p and 1 - p (where pis between 0 and 1), then the frequency of heterozygous carriers (carriers with both alleles) is 2p(l - p). Which value of p gives the largest frequency of heterozygous carriers?
- If X1, X2, ... , Xn constitute a random sample of size n from an exponential population, show that X is a consis-tent estimator of the parameter θ.A test of H0H0:μ=1:μ=1 against HaHa:μ>1:μ>1 has test statistic zz = 1.74. Answer "Yes/Y" or "No/N" to the following questions. Is this test significant at the 2.5% level (αα = 0.025)? Is it significant at the 0.5% level (αα = 0.005)?in a city a,20% of a random sample of a 900 school boys had a slight certain physical defect. in another city b,18.5% of a random sample of 1600 school boys had the same defect.is the difference between the proportions is significant?
- Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 150 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. a) State the appropriate null and alternate hypotheses. b) Find the P-value. c) Should a change be made?Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 149 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. P-value?question 2 Give the rejection region. Group of answer choices z greater than 1.64 t greater than 1.64 z greater than 1.58 t greater than 1.58 question 3 Give the test statistic. Group of answer choices z = 1.64 t = 1.58 t = 1.64 z = 1.58 question 4 Give the conclusion. Group of answer choices Reject the null since the test statistic is not in the rejection region. Fail to reject the null since the test statistic is not in the rejection region.