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?
A binomial distribution has p=o.22 and n=98. Use the normal approximation to the binomial distribution to...
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...
You may need to use the appropriate appendix table or technology to answer this question. A binomial probability distribution has p = 0.20 and n = 100. (a) What are the mean and standard deviation? mean standard deviation (b) Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain. No, because np > 5 and n(1 - p) > 5. Yes, because n > 30. No, because np < 5 and n(1-p) <...
3 Ques Given a binomial distribution with n= 12 and p = 0.60, obtain the values below. a. the mean b. the standard deviation c. the probability that the number of successes is larger than the mean d. the probability that the number of successes is within 12 standard deviations of the mean a. The mean of the binomial distribution is 7.2. (Type an integer or a decimal.) b. The standard deviation of the binomial distribution is 1.6971 (Round to...
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?
f size of n 4,900 from a binomial probability distribution with P 0.50, complete parts (a) through (e) below. Given a random sample EClick the icon to view the standard normal table of the cumulative distribution function. a. Find the probability that the number of successes is greater than 2,490. (Round to four decimal places as needed.) P(X 2,490) b. Find the probability that the number of successes is fewer than 2,425 P(X<2,425) (Round to four decimal places as needed....
1. What is the mean of a binomial distribution with n = 8 trials and p = 0.15? 2. The area under a normal curve represents the: probability of an event occurring Z-score standard deviation mean 3. A manufacturing process outputs parts having a normal distribution with a mean of 30 cm and standard deviation of 2 cm. From a production sample of 80 parts, what proportion of the sample can be expected to fall between 28 and 32 cm?...
Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. Estimate P(6) for n = 18 and p = 0.4 Group of answer choices a) 0.8513 b) 0.1608 c) 0.1015 d) 0.1958
If a binomial distribution applies with a sample size of n=20, find the values below. a. The probability of 55 successes if the probability of a success is 0.50 b. The probability of at least 77 successes if the probability of a success is 0.25 c. The expected value, n=20, p=0.30 d. The standard deviation, n=20, p=0.30
A binomial distribution has p =0.69 and n =117 What is the probability of exactly 82 successes
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...