5. Let's estimate using simulation. To do that, simulate the event of tossing a dart into a unit square in Exceland count how many darts fall into an inscribed circle of the unit square. (Hint: Use =Rand() to generate a numberfrom Uniform(0,1) in Excel.) Then compute an estimate of 7 using the ratio of the darts that had fallen into thecircle based on 50, 100, 500, 1000, 3000, 5000 tosses, respectively. Also answer the following questions.(a) Does the estimate seem to converge to the true value of 7 as the number of tosses increase? Why?(b) Compute the 95% confidence intervals of these estimates. Explain in words the meaning of the confidenceinterval.

Answered: Image /qna-images/answer/bb45bdf1-5eda-479f-b1b7-f2258188ddce.jpg

Answered: using of tossing a squar how many darts…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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THE FF. WERE THE RESULTS OF THE EXAMINATION CONDUCTED FOR GRADUATING STUDENTS. FIND THE INTERQUARTILE RANGE (USE 4 DECIMAL PLACES) SCORE INTERVAL 91-100 5 95.5 65 81-90 71 - 80 61-70 51 - 60 41 - 50 31-40 f X
For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.In a marketing survey, a random sample of 1000 supermarket shoppers revealed that 272 always stock up on an item when they find that item at a real bargain price. (a) Let p represent the proportion of all supermarket shoppers who always stock up on an item when they find a real bargain. Find a point estimate for p. (Round your answer to four decimal places.)(b) Find a 95% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit What is the margin of error based on a 95% confidence interval? (Round your answer to three decimal places.)
Determine upper and lower estimates of how much water leaked from the water line during the hour.
A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President 185 170 179 191 194 179 9 Height (cm) of Main Opponent 170 184 174 166 194 182 Identify the test statistic. t= 0.57 (Round to two decimal places as needed.) Identify the P-value P-value = 0.286 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is greater than the significance level, fail to reject the null hypothesis. There is not sufficient evidence to support the claim that presidents tend to be taller than their opponents. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval…
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b. The following are the time (in months) to relapse for patients who had acute leukemia when being treated with a particular drug: 10, 7,32', 23, 22, 6, 16, 34", 32", 25", 11", 20", 19", 6, 17", 35", 6, 13, 9", 6", 10" Obtain the Kaplan-Meier estimate of the survivor function.
For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. A random sample of 5616 physicians in Colorado showed that 3278 provided at least some charity care (i.e., treated poor people at no cost). A USE SALT (a) Let p represent the proportion of all Colorado physicians who provide some charity care. Find a point estimate for p. (Round your answer to four decimal places.) 0.5837 (b) Find a 99% confidence interval for p. (Round your answers to three decimal places.) lower limit 0.0617 upper limit
Only need D from this question. Thank you
(:) 4 Calculate the magnitude of the error in approximating 11 8. with its projection onto Round the error to one decimal place, i.e. 0.8.
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