The joint probability function of a & b is f(a,b) = (1/64)*(a+5b) for 1< a < 5 and 0 < b < 2. Find probability of 0 < a < 3
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- Find c such that the function f(x)= ce 0.664>x>0.0195. Select one: a. 0.14291353 b. 49.79334173 c. 57.65543144 d. 28.82771572 e. 17.48489343 -(2x+3) is a valid probability distribution over the range his Previous page Next pageIn each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) USE SALT (a) (c) = 0.9834 3.4 X (b) P(0 ≤Z ≤ c) = 0.3133 (c) P(CZ) = 0.1190 (d) P(-c ≤ Z ≤ c) = 0.6372 (e) P(c≤ |Z|) = 0.0128The table shows the results of a restaurant survey. Find the probability P(Y'|D'). TTT Service Great Service Good Service Okay (B) Service Poor Meal Total (A) (C) (D) Lunch (X) Dinner (Y) 24 15 22 14 75 29 44 48 25 146 Total 53 59 70 39 221 ... P(Y'ID') = (Simplify your answer. Type an integer or a simplified fraction.)
- The distribution of the time until a Web site changes is important to Web crawlers that search engines use to maintain current information about Web sites. The distribution of the time until change (in days) of a Web site is approximated in the following table. Days until Probability Changes 1.5 0.05 0.25 0.35 0.20 0.15 3 4.5 7 Calculate the probability mass function of the days until change. *Answers should be in rational numbers with 2 decimal places.The pdf of the time to failure of an electronic component in a copier (in hours) is f (x) = [exp (-x/3100)]/3100 for x > 0 and f (x) = 0 for x ≤ 0. Determine the probability that:(a) A component lasts more than 1180 hours before failure.(b) A component fails in the interval from 1180 to 2010 hours.(c) A component fails before 3010 hours.(d) Determine the number of hours at which 11% of all components have failed.(e) Determine the mean.Round your answers to three decimal places (e.g. 98.765).Denote by a* 0 < x <1 0.5 2 <*The time t (in hours) required for a new employee to succesfully learn to operate a machine in a manufacturing process is described by the probability function f(t) = kt/16 – t for 0In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) (a) Φ(c) = 0.9850 (b) P(0 ≤ Z ≤ c) = 0.2995 (c) P(c ≤ Z) = 0.1314 (d) P(−c ≤ Z ≤ c) = 0.6528 (e) P(c ≤ |Z|) = 0.0128 You may need to use the appropriate table in the Appendix of Tables to answer this question.The repair time of a computer at a workshop is uniformly distributed over the interval of one to five hours, Find the probability that a customer will get his computer repaired in less than two hours. Answerwhich expressions correctly describes the experimental probability, P(B), where n(B) is the number of times event B occurred and n(T) is the total number of trials, T, in the experiment? a) P(B) = n(B) x n(T) b) P(B) = n(N) + n(T) c) P(B) = n(T)/n(B) d) P(B) = n(B)/n(T)A fair pair of dice is rolled 72 times. Find the probability that the same point comes up on both dice at least 17 times. Pr [X greater than or equals 17]= Enter your answer as a decimal number correct to 4 decimal places.The table shows the results of a restaurant survey. Find the probability P(Y'IC'). Service Great Meal Lunch (X) Dinner (Y) Total 4247 (A) Service Good (B) Service Okay (C) Service Poor Total (D) 32 47 14 45 45 47 14 43 77 94 28 88 80 138 149 287 P(Y'|C')= (Simplify your answer. Type an integer or a simplified fraction.)Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON