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 the normal approximation. (Round your answer to four decimal places.)
P(x ≤ 30) = __________
Consider a binomial random variable x with n = 100 and p = 0.2. Use the...
Let X be a binomial random variable with n = 100 and p = 0.2. Find approximations to these probabilities. (Round your answers to four decimal places.) (c) P(22 < X < 26)
If x is a binomial random variable where n = 100 and p = 0.30, find the probability that x is greater than or equal to 35 using the normal approximation to the binomial. (Discuss whether continuity correction is required or not)
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...
Let X be a binomial random variable with n = 100 and p = 0.2. Find approximations to these probabilities. (Round your answers to four decimal places.a)P(X > 29) b)P(X ≥ 29) c) P(19 < X < 31) d)P(X ≤ 31)
Let X be a binomial random variable with n = 150 and p = 0.4. Use the normal approximation to find the following. Do not solve this as a binomial distribution problem. You must set up and use the normal approximation to receive credit. Express the final answer using 4 decimal places. a) P(48 ≤ X ≤ 66) b) P(X > 69)
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.)
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.
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...
Random samples of size n = 80 were selected from a binomial population with p = 0.2. Use the normal distribution to approximate the following probability. (Round your answer to four decimal places.) P(p̂ > 0.17) =
[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)