Section 2.1 17. Consider the dart board shown belo Agen be under vard Using the formula |A = mr2 #E sode pegoud vou pe of pep vode po for the area of a circle of radius r, compute the probabilities of hitting each of the three
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- 14. Suppose a and b are single-digit positive integers chosen indepetndently and at random. What is the probability that the point (a, b) lies above the parabola y = ar? – br ? (A) (B) (C)을 (D) 11 13 5 17 19 (E) 81 81 27 81A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects a sample of 40 taxis and finds the average age of the taxis is 8.2 years. The σ of the population is 2.3 years. At ? = 0.05, can it be concluded that the average age of the taxis in his company is less than the national average?Exercise 14.8. X is the outcome of a throw of a die. Let A be the event that X > 3 and B be the event that X is even. Let IA and I be the indicators associated with A and B (see the previous exercise). Find Cov(IA, IB) and P(IA, IB).
- 38. The mean area µ of the several thousand apartments in a new development is advertised to be 1250 square feet. A tenant group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion. The appropriate null and alternate hypothesis, H, and H., for u are a) H,: µ = 1250 and H,: µ ± 1250 b) Hgi H c) Hoi u d) cannot be specified without knowing the sample size used by the engineer. %3D 1250 and H: и 1250For each statement, express the null hypothesis Ho and alternative hypothesis H in symbolic form. 1. The mean annual consumption of beer u in the nation's capital is less than the national mean lo- OA. Ho : µ = Ho, H1 : H # Ho OB. Ho : µ = Ho, H1 : H > Ho OC. Ho : µ = Ho, H1 : µ 98.6 98.6, H : µ 98.6, H u < 98.6 Classify the hypothesis test as two-tailed, left-tailed or right-tailed. OA. Right-tailed B. Left-tailed C. Two-tailedAnswer ONLY letter d, e, f, g
- If the particle in the box is in n=4, what is the probability P that it is in the central half of the box (between x = a/4 and 3a/4) ? Remember that: Ssnlbyldy =- sinby) 464. A die is rolled twice. Determine the probability that a 5 is rolled on the first roll and any number other than 5 is rolled on the second ra a. O Pr(5n5') b. O Pr(5n5') co Pr(5n5')= d. O Pr(5n5') = 35 Aspley SHS 14 March 20193. The probability that a housewife buys brand A soap is 0.75. Find the probability that in a sample of 15 housewives who bought soap for a certain day, (a) exactly 4 of them bought brand A soap. (b) more than 6 of them bought brand A soap. X ~BC 15,0.75) → C15,0 25) 70-5 a) PCX = 4) => PCY= 1) b) P Cx >G) => PCY<9)