A dart player throws a dart at a target whose centre is located at the point (0, 0). Thedart lands at the point (x, y), where x is an observation on a G(0, 1) random variable, X, andy is an observation on a G(0, 1) random variable, Y. The random variables X and Y areindependent.If the dart lands inside the unit circle (i.e. circle with radius 1) centred at (0, 0), the playerwins a prize. What is the probability that the dart thrower wins a prize?Hints: The distance formula along with the x2 or Exponential distributions will be helpfulto solve this question. You may also use R to solve for this probability.A)0.843B)0.683C)0.466D)0.393

Answered: Image /qna-images/answer/761ae5dd-8389-4d16-970a-6244ff96b65f.jpg

Answered: If the dart lands inside the unit…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose X∼Bin(20,0.8).X∼Bin(20,0.8). What is the variance of XX? A. 15 B. 16 C. 5 D. 10 E. 3.2
In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 18 seconds. *Please show formulas in EXCEL format a. What is λ? 2 per min b. What is μ? 18 seconds c. Find probability of no units in the system. d. Find average number of units in the system. e. Find average time in the waiting line. f. Find average time in the system. g. Find probability that there is one person waiting. h. Find probability an arrival will have to wait.
If the probability P (a < x < b ) = 0.0395 for the function Y = 3 X 2 and a = 0.15, find the value of b. 0.54 0.35
A raffle has a grand prize of $15000 with the second prize of $900. If each ticket costs $2 and 9200 tickets are sold, what are the expected winnings for a ticket buyer? Express to at least three decimal place accuracy in dollar form (as opposed to cents).
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The autoratic hopper car loader is set to put 57 tons of coal ints each car. The actual weights of coal loaded d deviation o = 1.1 ton.
The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tested positive, given that he or she had the disease. The probability is approximately (Round to three decimal places as needed.) View an example @ 2 s W S X 3 дв command # Get more help 26 80 F3 E D A GA C a R F tv % 5 V T G The individual actually had the disease O Yes No 135 Positive Negative 13 VAG 810 MacBook Air 6 B Y & 7 H F7 U 25 127 N * 8 DII 1 M ( 9 K O 0 I H qqqqqqqqı L A F10 Clear all P > л. : ; { + [ = Check answer I command option 11 18 ? F12 1 } 1 delete
Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with four children will (Enter your answer to four decimal places.) At least one girl Tor Scientific F-E MR M+ M- MS MY NOTES Trigonometry v Function v FIN12 7.4.017. nd e questions. If a student guesses at every answer, what is the probability that he or she will answer exactly 9 questions c mod 8. 6. 6. 10 log 1 1/- 0. 38 F Clear A In P Type here to search 2.
The value of SSR can never be larger than: Which? SST. 0.0. 1.0. 400. SSE.
parts of question 7. solve A-E A. Compute P(X = 3) for n = 5, p = 1 B. Ken is a waiter at a restaurant. His customers tip 15% or more 80% of the time. Find the probability that four of the next six customers will tip 15% or more? C. Find the z-score if x = 2.65, mean = 0, σσ = 1.0. D. An IQ test has a mean of 100 and standard deviation of 15. Find what percentile is someone who scored a 122 on an IQ score? E. A normal distribution has a mean of 168 and a standard deviation of 10. Find the percentage of scores that fall between 155 and 169.
22. Fill in the chart: P(E) P(E') Odds in favor of E Odds against E 13 10 4:3 99:1
4846 pregnant women were tested to see if their babies had Down syndrome (D). The results of the test are given in the table. Use the values in the table to answer parts a-c. Blood Test Down POS NEG Total 50 11 61 D° 1045 3740 4785 Total 1095 3751 4846 a. Given that a test result is negative (NEG), what is the probability that the fetus actually has Down syndrome? P(D|NEG) = || (Do not round until the final answer. Then round to four decimal places as needed.) b. Given that the fetus has Down syndrome, what is the probability that the test result is negative? P(NEG|D) = (Do not round until the final answer. Then round to four decimal places as needed.) c. Is P(D|NEG) equal to P(NEG|D)? A. No, because P(NEG|D) deals with a much smaller pool of fetuses than P(D|NEG). B. Yes, because P(NEG|D) deals with a much smaller pool of fetuses than P(D|NEG). C. Yes, because P(NEG|D) deals with a much larger pool of fetuses than P(D|NEG). O D. No, because P(NEG|D) deals with a much larger pool of…

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