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- Eastern Hemlock Ring shake, which is the separation of the wood between growth rings, is a serious problem in hemlock trees. Researchers have developed the following function that estimates the probability P that a given hemlock tree has ring shake: P(A,B,D)=11+e3.680.016A0.77B0.12D where A is the age of the tree yr, B is 1 if bird pecking is present and 0 otherwise, and D is the diameter in. of the tree at breast height. Source: Forest Products Journal. a. Estimate the probability that a 150-year-old tree with bird pecking present and a breast height diameter of 20in., will have ring shake. b. Estimate the probability that a 150-year-old tree, with no presence of bird pecking and a breast height diameter of 20in., will have ring shake. c. Develop a statement about what can be said about the influence have on the probability of ring shake. d. Using the total differential, estimate the probability if the actual age of the tree was 160 years and the diameter at breast height was 25in., Assume that no bird pecking was present. Compare your answer to the actual value. Hint: Assume that B=0 and exclude that variable from your calculations e. Comment on the practicality of using differentials in part d.The time it takes to get a seat at a restaurant is exponentially distributed.The value for the function of time to get a table is 4.19 minutes for x ≥ 0Find the probability that a customer will have to wait at most 55 minutes to sit down. USE EXCELLet X denote the number of hours you study during a randomly selected school day. The probability (pmf) that X can take the values x, has the following form, where k is some unknown constant. P(X = x) a. Complete the following table X P(X) b. Find the value of k. 0 0.1, if x = 0 kx, if x = 1 or 2 k(5-x), if x = 3 or 4 0, otherwise 1 2 3 4 c. What is the probability that you study at least two hours? d. What is the probability that you study exactly two hours? e. What is the probability that you study at most two hours? f. Compute the expectation E(X) g. Compute variance Var(X
- The length X to complete a certain key task in house construction is exponentially distributed with mean of 5 hours. The cost of completing this task is C= 10+20X2. Find the expected cost. Select one: Oa. 1000 Ob. 1010 O c. 510 O d. 500A research firm claims that the distribution of the days of the week that people are most likely to order food for delivery is different from the distribution shown in the pie chart. You randomly select 493 people and record which day of the week each is most likely to order food for delivery. The table to the right shows the results. At a = 0.01, test the research firm's claim. Day Frequency, f 47 Sunday Monday Tuesday Wednesday Thursday Friday Saturday 15 27 W Click the icon for the pie chart of the distribution. 49 41 164 150 State Ho and H, and identify the claim. Graph/Chart Ho: The distribution of the days people order food for delivery H: The distribution of the days people order food for delivery Food at your door I Sunday 8% Which hypothesis is the claim? I Monday 3% O Ho O Tuesday 6% O H. O Wednesday 14% I Thursday 11% Calculate the test statistic. I Friday 36% X = (Round to three decimal places as needed.) I Saturday 22% Determine the P-value. P= (Round to three decimal…A research firm claims that the distribution of the days of the week that people are most likely to order food for delivery is different from the distribution shown in the pie chart. You randomly select 496 people and record which day of the week each is most likely to order food for delivery. The table to the right shows the results. At a = 0.10, test the research firm's claim. Day Frequency, f 42 Sunday Monday Tuesday Wednesday Thursday Friday Saturday 11 24 W Click the icon for the pie chart of the distribution. 49 47 165 158 State Ho and H, and identify the claim. Họ: The distribution of the days people order food for delivery is as shown in the pie chart. Ha: The distribution of the days people order food for delivery differs from the expected distribution. Which hypothesis is the claim? o Ho Calculate the test statistic. X = 25.425 (Round to three decimal places as needed.) Determine the P-value. P= 0.000 (Round to three decimal places as needed.) Decide whether to reject or fail…
- Find the z-score that has 68.4% of the distribution's area to its right. Can you also give the steps in the calculator? TI-84Women who received the treatment are %/ % = times to show hair growth. Blank 1: Blank 2: Blank 3: Submit Saved at 5:04 pm & # 8. 6. 7 y WFind the z-scores for which 98% of the distribution's area lies between -z and z. Click to view page 1 of the table. Click to view page 2 of the table. OA. (-2.33,2.33) OB. (-1.96,1.96) OC. (-1.645,1.645) OD. (-0.99,0.99)
- The chance of winning a lottery game is 1 in approximately 22 million. Suppose you buy a $1 lottery ticket in anticipation of winning the $4 million grand prize. Calculate your expected net winnings for this single ticket. Interpret the result. ests ...... Find u E(x). H= -0.82 (Round to the nearest hundredth as needed. Do not include the $ symbol in your answer.) Interpret the result. Choose the correct answer below. Your average for a large number of games would be $ per game. (Round to the s needed.) losses winningsEX = 96. 8. A population with a mean of u = 8 has EX = 40. How many scores are in the population?(3.7) #2