A. Random variable X has a binomial distribution, B(36, 0,5). Use the normal approximation, Compute P[15Kx<19)-...
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)
Let x be a random variable from a binomial distribution with n = 40 and p = 0.9. If a normal approximation is appropriate, give the distribution of x' that would be used in the approximation. a) x' ~ N(40, 0.92) b) x' ~ N(36, 3.62) c) x' ~ N(36, 1.92) d) normal approximation is not appropriate
A binomial distribution has p=o.22 and n=98. Use the normal approximation to the binomial distribution to answer parts a through d. a. what are the mean and standard deviation for this distribution? b. what us the probability of exactly 16 successes? c. what is the probability of 14 to 25 successes? d. what is the probability of 12 to 20 successes?
Compute P(x) using the binomial probability formula. Then determine whether the normal distribution can be used as an approximation for the binomial distribution. If so, approximate P(x) and compare the result to the exact probability. n = 50, p = 0.5, x = 25
Compute P(x) using the binomial probability formula. Then determine whether the normal distribution can be used as an approximation for the binomial distribution. If so, approximate P(x) and compare the result to the exact probability. n = 50, p = 0.5, x = 25
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...
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.
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)
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)
10) The X random variable has a normal distribution. P(X > 15) = 0.0082 and P(X<5) = 0.6554 find the mean and variance of this distribution