Assume that x is a binomial random variable with n = 20 and p = .5. Use the binomial probabilities table and the normal approximation to find the exact and approximate values, respectively, of the following probabilities:
a.P(x<=9)
b.P(x>=11)
c. P(8<=x<=11)
I have no idea how to use the binomial probability table and the answers are:
a. .327,.411
b. .327,.411
c..483,.498
b
Assume that x is a binomial random variable with n = 20 and p = .5....
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...
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.
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...
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...
5. A random variable X follows a binomial distribution with n 35 and p-4. Use the normal approximation to the binomial distribution to find P(X < 16)
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)
6. (20 pts) A random variable X has a binomial B(100,0.2) distribution A. Explain why it is reasonable to use a normal distribution for X as an approximation for the distribution of X. Identify the values of and. B. Find the approximate probability using the approximation from A. Note: You must use this approximation and show all steps. No credit is given for an answer found using your calculator's built-in probability functions.
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)
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)