14. If n = 10 and p = 0.5 in the binomial distribution, then what is the probability of X = exactly 6?
15. If n = 10 and p = 0.5 in the binomial distribution, then what is the probability of X = exactly 6 using Normal Approximation?
14. If n = 10 and p = 0.5 in the binomial distribution, then what is...
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?
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...
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...
lf np ≥ 5 and nq ≥ 5, estimate P fewer than 4 with n=14 and p = 0.5 by using the normal distribution as an approximation to the binomial distribution if np < 5 or nq < 5 then state that the normal approximation is not suitable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. P(fewer than 4) = _______ B. The normal approximation is not suitable .
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
A.) for a binomial distribution with p= 0.65, find the smallest value of n so that the normal distribution is a reasonable approximation to the binomial distribution. N=? B.) given the Bernoulli experiment with n=60 and p= 0.6, use the normal distribution to estimate the following (round answers to four decimal places) P(x=40) P(x=28) P(x=32) C.) given the Bernoulli experiment with n= 12 and p= 0.5, use the normal distribution to estimate the following (round to four decimal places) P(4...
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.
compute p(x) using the binomial probability formula. then determine whether the normal distribution can be used to estimate this probability. if so, p(x) using the normal distribution and compare the result with the exact probability. n=78, p= 0.83, and x=60 for n= 78, p= 0.83, and x=60, find P(x) using the binomial probability distribution. P(x) _. (round to four decimal places as needed.) can the normal distribution be used to approximate this probability? A. no, the normal distribution cannot be...
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)