please show work 3. Let X have a binomial distribution with parameters n = 25 and...
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...
Select: less than, greater than or equal to Let X have อ bnon ial distribution witn parameters n-25 and ρ Calculate each orthe following probabilities using the normal nation with the continuity correction to the cases ρ-0.5 0.6 and 0.8 and compare to the exact binomial probabilities calculated pro directly trarn the tarmula tar hn,p). (Round your answers ta tour decimal places.) (a) P(15X 20) P(15 s x s 20) P14.5 Normal 20.5) 0.S D.6 The nor nal approxim tion...
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...
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...
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...
If Y is a binomial random variable with parameters n=60 and p=0.5, estimate the probability that Y will equal or exceed 45 using the Normal approximation with a continuity correction.
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 = 200 and p = 0.42. (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. np n(1 – p) Both np and n(1 – p) (Click to select) A 5...
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...
[4] Approximate the following binomial probabilities by the use of normal approximation (n = 50, p = 0.3). Remember to use a continuity correction. P(x = 18) P(x ≥ 15) P(x ≤ 12) P(12 ≤ x ≤ 18)