Let X be a binomial random variable with n = 15 and p = 0.6. Calculate the following two probabilities, using an appropriate approximation method: • P(X = 4)
• P(7 ≤ X < 10)
Let X be a binomial random variable with n = 15 and p = 0.6. Calculate...
Let x be a binomial random variable with n = 20 and p = 0.05. Calculate p(0) and p(1) using Table 1 to obtain the exact binomial probability. (Round your answers to three decimal places.) p(0) = p(1) = Calculate p(0) and p(1) using the Poisson approximation. (Round your answer to three decimal places.) p(0) = p(1) = Compare your results. Is the approximation accurate? No the approximation is not accurate. At least one the differences between the probabilities from...
Let X be a binomial random variable with p 0.3 and n 10. Calculate the following probabilities from the binomial probability mass function. Round your answers to four decimal places (e.g. 98.7654). P(X> 8)
Let x be a random variable from a binomial distribution with n = 40 and p = 0.9. If a normal approximation is appropriate, give the distribution of x' that would be used in the approximation. a) x' ~ N(40, 0.92) b) x' ~ N(36, 3.62) c) x' ~ N(36, 1.92) d) normal approximation is not appropriate
16. Let w be a random variable modeled as a binomial with p = 0.42 and n = 35. a. Find the exact value of P(W = 15) by using the binomial probability formula. b. Find the approximate value of P(14 < W< 16) by using a normal curve approximation. C. Round the probabilities in parts a. and b. to two decimal places and compare.
16. Let W be a random variable modeled as a binomial with p = 0.42 and n = 35. a. Find the exact value of P(W = 15) by using the binomial probability formula. b. Find the approximate value of P(14 < W< 16) by using a normal curve approximation. c. Round the probabilities in parts a. and b. to two decimal places and compare.
Let X be a binomial random variable with p four decimal places (e.g. 98.7654) 10. Calculate the following probabilities from the binomial probability mass function. Round your answers to 0.7 and n
Let X represent a binomial random variable with n = 125 and p = 0.19. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a. P(X ≤ 25) b. P(X = 15) c. P(X > 35) d. P(X ≥ 30)
Let X have a binomial distribution with parameters n 25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for the cases p-0.5, 0.6, and 0.8 and compare to the exact binomial probabilities calculated directly from the formula for b(x;n, P). (Round your answers to four decimal places) (a) P15 s X 20) P P(1S s Xs 20) P(14.5 S Normal s 20.5) 0.5 0.6 0.8 The normal approximation of P(15 s X...
Let X represent a binomial random variable with n = 110 and p = 0.19. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a. P(X ≤ 20) b. P(X = 10) c. P(X > 30) d. P(X ≥ 25)
(Use computer) Let X represent a binomial random variable with n = 110 and p = 0.19. Find the following probabilities. (Round your final answers to 4 decimal places.) a. P(X ≤ 20) b. P(X = 10) c. P(X > 30) d. P(X ≥ 25) (Use Computer) Let X represent a binomial random variable with n = 190 and p = 0.78. Find the following probabilities. (Round your final answers to 4 decimal places.) Probability a....