A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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- Q1) Below find the records of 12 randomly selected used pickup trucks (none used commercially) and 11 randomly selected used passenger cars, the time (in years) that they were kept by the original owner before being sold: Used pickup trucks | 3 | 2.5 2.9 5 4.2 3.1 3.3 4 5.3 3.8 4.5 Used passenger cars | 2.2 3 2.8 4.3 4 3.3 2.9 2.1 2 3.1 3 It is known that the standard deviation of used pickup trucks is 2 years and of used passenger cars is 1 year. (a) Investigate, at the 5% significant level, whether the mean time (in years) that used pickup trucks were kept by the original owner before sold is larger than used passenger cars. (b) What assumption is needed to perform the test in (a). (c) Construct the 96% confidence interval for the mean difference of time (in years) were kept by the original owner before sold between used passenger cars and used pickup trucks. Use this confidence interval to tell whether there is difference in the mean time (in years) between these 2 tynes of…arrow_forwardConsider the sample space given below. A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray. S = {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66} Let E be the event that the sum of the numbers showing face up is 8. Write E as a set. (Enter your answer in set-roster notation. Enter EMPTY or Ø for the empty set.) E = What is the probability of E? Enter a fraction, integer, or exact decimal. Do not approximate.arrow_forward1 1 1 3 2. Wood paneling can be ordered in thickness of÷÷÷,or- inch. The random variable X is the total thickness of paneling in two orders. List the elements in the sample 16 space.arrow_forward
- If the sample space is C = C1UC2 and if P(C1) = 0.62 and P(C2) = 0.55, find Q.2. P(C1NC2).arrow_forwardneed helparrow_forwardSuppose D and C are independent events in the same sample space. If we know that Pr [D] = ½ and Pr[C] = ½, Pr[DUC] determine Pr DUC A. 8 35 26 B. 35 9 C. 35 6 D. E. 27 35arrow_forward
- A random sample of 7 oak trees from two forests was gathered. The results are shown below. Height of Trees (feet) Forest A Forest B 70 92 78 82 84 66 83 76 78 72 88 79 77 85 Based on the samples, which statement best compares the height of the oak trees in each forest? O The oak trees in Forest A are generally taller and have less variabillity than the oak trees in Forest B. The oak trees in Forest A are generally shorter and have less variabillity than the oak trees in Forest B. O The oak trees in Forest A are generally taller and have more variabillity than the oak trees in Forest B. The oak trees in Forest A are generally shorter and have more variabillity than the oak trees in Forest B.arrow_forwardA quarterback threw 1 interception in his first game, 2 interceptions in his second game, and 5 inter-ceptions in his third game, and then he retired. Consider the values1, 2, and 5 to be a population. Assume that samples of size 2 are randomly selected (with replacement) from the population. List the 9 different possible samples, and find the mean of each sample.arrow_forward
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- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON