Suppose that x has a binomial distribution with n = 200 and p = 0.42. (Round...
Suppose that x has a binomial distribution with n = 198 and p = 0.41. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value (σ) to 4 decimal places.) A) Show that the normal approximation to the binomial can appropriately be used to calculate probabilities about x. np n(1 – p) Both np and n(1 – p) large/smaller than 5 B) Make...
Suppose that x has a binomial distribution with n = 198 and p = 0.44. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value (o) to 4 decimal places.) (a) Show that the normal approximation to the binomial can appropriately be used to calculate probabilities about x пр n(1 - p) Both np and n(1 – p) (Click to select) A 5...
Suppose that x has a binomial distribution with n = 50 and p = .6, so that μ = np = 30 and σ = np(1 − p) = 3.4641. Calculate the following probabilities using the normal approximation with the continuity correction. (Hint: 26 < x < 36 is the same as 27 ≤ x ≤ 35. Round your answers to four decimal places.) (a) P(x = 30) (b) P(x = 26) (c) P(x ≤ 26) (d) P(26 ≤ x ≤ 36) (e) P(26...
You may need to use the appropriate appendix table or technology to answer this question.Assume a binomial probability distribution has p = 0.70and n = 400.(a)What are the mean and standard deviation? (Round your answers to two decimal places.) mean standard deviation (b)Is...
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...
8Compute P(x) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(x) using the normal distribution and compare the result with the exact probability. na 72. p-o.77, and x-56 Cli Cli e (page 1).1 page 2).2 For n-72, p-0.77, and x-56, find P(x) using the binomial probability distribution. P(x)- Can the normal distribution be used to approximate this probability? Round to four decimal places as needed.) O A....
Consider a binomial random variable x with n = 100 and p = 0.2. Use the correction for continuity and approximate P(21 < x < 26) using the normal approximation. (Round your answer to four decimal places.) P(21 < x < 26) = ________ Use the correction for continuity and approximate P(x ≥ 23) using the normal approximation. (Round your answer to four decimal places.) P(x ≥ 23) = __________ Use the correction for continuity and approximate P(x ≤ 30)using...
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.
compute p(x) using the binomial probability formula. then determine whether the normal distribution can be used to estimate this probability. if so, p(x) using the normal distribution and compare the result with the exact probability. n=78, p= 0.83, and x=60 for n= 78, p= 0.83, and x=60, find P(x) using the binomial probability distribution. P(x) _. (round to four decimal places as needed.) can the normal distribution be used to approximate this probability? A. no, the normal distribution cannot be...