Consider a random variable X follows the normal distribution X~N(0.83; 0.01). Which one of the following probability expressions is the same as P(0.79 < X < 0.82)?
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Consider a random variable X follows the
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- Find the product of x2+3y and x23y.the comic book store owner is curious in how well radio and newspaper advertisements work. A sample of 22 counties with almost equal populations was gathered during the month. For each of the counties, the owner has set aside a particular sum for radio and newspaper advertising. Additionally, the owner was able to access comic book sales information for the stores he controlled in each municipality and classified it as Low or High. COUNTY (X1) Comic book Sales (X2) (0 = Low, 1 = High) Radio Ads (X3) (in thousands) Newspaper Ads (X4) (in thousands) 1 1 0 40 2 0 0 40 3 0 25 25 4 0 25 25 5 0 30 30 6 0 30 30 7 0 35 35 8 0 35 35 9 0 40 25 10 0 40 25 11 1 45 45 12 1 45 45 13 1 50 0 14 1 50 0 15 1 55 25 16 1 55 25 17 1 60 30 18 1 60 30 19 1 65 35 20 1 65 35 21 1 70 40 22…Please help me with #3 and #4
- A schoolteacher is concerned that her students watch more TV than the average American child. She reads that according to the American Academy of Pediatrics (AAP), the average American child in the population watches 4 hours of TV per day. She records the number of hours of TV that each of her six students watches per day. The times (in hours) are 4.5, 2.5, 5.5, 3.0, 5.0, and 4.0. a. Test the hypothesis that her students watch more TV than the average American child in the population. Use a=.01. Use the four steps of hypothesis testing.After the results of a chess tournament are announced, someone noticed that each player scored exactly half of its points in games against the three lowest-ranked players in that tournament. How many players participated in the tournament if each player played one game against every player? (Note that a win worth 1 point, a draw worth 0.5 points, and a loss worth 0 points.) Please answer very soon will give rating surelyIt is common to report a golfer's score on a hole in relation to par. For example, one stroke over par is a bogey and two strokes over par is a double bogey. Scores one, two, or three strokes below par are respectively a birdie, an eagle, or the extremely rare albatross. (a) Erratic Ernie scored 1 albatross, 3 eagles, 5 birdies, 7 pars, 2 bogeys, and 0 double bogeys on a par-76 eighteen-hole course. What was Ernie's score for the round?
- It is common to report a golfer's score on a hole in relation to par. For example, one stroke over par is a bogey and two strokes over par is a double bogey. Scores one, two, or three strokes below par are respectively a birdie, an eagle, or the extremely rare albatross. (a) Erratic Ernie scored 1 albatross, 3 eagles, 3 birdies, 7 pars, 2 bogeys, and 2 double bogeys on a par-69 eighteen-hole course. What was Ernie's score for the round? (b) In July 2013, Erratic Ernie started with 4 pars, but then shot a course record 8 straight birdies on holes 5 through 12. He followed this feat with bogeys on the next three holes and finished the round with pars. What was his final score on the par-69 course?A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The price the manufacturer can expect to receive for the machines will depend on the number of machines made available. It is estimated that if the manufacturer supplies x machines to the domestic market and y machines to the foreign market, the machines will 5y sell for 1200 - 3x + pesos per unit domestically, and 7 2x 2200 - 2y + pesos per unit abroad. 7 (a) Express the revenues from domestic and foreign markets as functions of x and y. Then show that the total revenue is given by R(x, y) = 1200x + 2200y - 3x² - 2y² + xy. (b) Evaluate R, (100, 400) and interpret this value in the context of the problem. (c) Using Lagrange multipliers to maximize revenue, how many of the 500 machines should be sold domestically, and how many should be sold abroad? What is the maximum revenue?It is common to report a golfer's score on a hole in relation to par. For example, one stroke over par is a bogey and two strokes over par is a double bogey. Scores one, two, or three strokes below par are respectively a birdie, an eagle, or the extremely rare albatross. (a) Erratic Emie scored 1 albatross, 3 eagles, 5 birdies, 6 pars, 1 bogey, and 2 double bogeys on a par-76 eighteen-hole course. What was Ernie's score for the round? (a) Erratic Emie scored a for the round. (b) In July 2013, Erratic Ernie started with 2 pars, but then shot a course record 8 straight birdies on holes 3 through 10. He followed this feat with bogeys on the next two holes and finished the round with pars. What was his final score on the par-76 course? (a) Erratic Ernie scored a for the round. (b) Erratic Ernie scored a ] for the round.
- 50% of the students in a school were boys. 20% of the boys and 2/3 as many girls as boys took part in a Math quiz. If a total of 80 boys and girls took part in the Math quiz, what is the difference between the number of boys and girls who did not take part in the quiz?If M(a, b)stands for the larger number in the parentheses, and m(a, b)stands for the lesser number in the parentheses, what is the value of M(m(1, 2), m(2, 3))?