Suppose the random variable X has a binomial distribution corresponding to n = 20 and p = 0.20. Use the Cumulative Binomial Probabilities table to calculate these probabilities. (Enter your answers to three decimal places.)(a) P(X = 8) (b) P(X ≥ 9)
Suppose the random variable X has a binomial distribution corresponding to n = 20 and p...
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...
(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....
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...
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)
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 = 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...
5. Imagine a random variable X that has a binomial distribution with n = 12 and p = 0.4. Determine the following probabilities a) P(X 5) b) P(X s2) c) P(X9) d) P (3 X<5)
4. Consider a binomial random variable with n = 5 and p = 0.7. Let x be the number of successes in the sample. Evaluate the probability. (Round your answer to three decimal places.) 5. Let x be a binomial random variable with n = 8, p = 0.2. Find the following value. 6. Let x be a binomial random variable with n = 8, p = 0.3. Find the following value. (Round your answer to three decimal places.)
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)