18. If a die Is rolled one time, find these probabilities. b. P(even number)= a. P(3) = d. P(a number less than 7) = c. Pla number greater than 4)= f. P(10) = than 0 -
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- Match the following questions with the correct answers. A. 24 B. 0.0929 C. 2 D. 154 E. 3/4 F. 120 select select select select select select 1. If X220, the probability that a man aged x marries at time t from the present is 15dt/(t+x)2. Find the probability that a person aged 20 eventually marries. 2. If X is the number of 6's which appear when 72 dice are thrown, what is the expected value of X²? 3. Suppose only 12% of men in ancient Greece were honest. What is the probability that the first honest man Diogenes Jencounters will be the third man he meets? 4. Find the expected value of the number of times one must throw a die until the outcome 1 has occurred 4 times? 5. Find the variance value of the number of times one must throw a die until the outcome 1 has occurred 4 times? 6. If for a Poisson distribution 2f(0)+f(2)=2f(1), what is the variance of the distribution?e. P(a number greater than 0) = f. P(10) = g. a 5 or a 2 h. NOT a 2 or a 3 1. a 9 J. a negative number 19. If two dice are rolled one time, find the probability of getting these results.Assume that n 16, and p = 9/10. Find the probability of at least 2 successes and at least 3 failures.
- The probability of a person selling by phone to sell for each call is independent of each other and is 0.2. So, what is the probability that he did not sell in exactly 5 calls before making the second sale?The probability that a new computer functions for over 10,000 hours is 0.8, the probability that it functions for over 20,000 hours is 0.4 and the probability that it functions for over 30,000 hours is 0.1. If a new computer is still working after 10,000 hours, what is the probability that i. its total life will exceed 20,000 hours;ii. its additional life will exceed 20,000 hours?The probability that Mr. Johnson goes for an evening walk on any given day during the winter is 0.56. Out of 89 days of winter, the number of days that Mr. Johnson is expected not to take an evening walk to the nearest day, is
- 3. Help23. Flip six unfair coins where, for each coin, P(H) = 0.20 and P(T)= 0.80. Let X be the total number of heads. Find P(X = 4), the probability of getting 4 heads. A. 0.04536 %3D B. 0.03536 C. 0.02536 D. 0.01536Solve Part B only for question 14 and show work for each step of the problem. Please and thank you.