Approximate the following binomial probabilities by the use of normal approximation. P(12 x 18, n = 50, p = 0.3)
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Approximate the following binomial probabilities by the use of normal approximation. P(12 x 18, n = 50, p = 0.3)
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- A gardener buys a package of seeds. Seventy-five percent of seeds of this type germinate. The gardener plants 90 seeds. Find the probability that 60 or fewer of the seeds germinate. Use the normal approximation to the binomial with a correction for continuity. Use Table A.2 (Normal Distribution Table) and keep four decimal places with your answer. Intermediate calculations should be carried to a minimum of four decimal places.Let x be a discrete random variable that possesses a binomial distribution withn = 5 and p = 0.78. What are the mean and standard deviation of this probability distribution? Round your answers to three decimal places, if required. Mean = i Štandard deviation = iLet Z be a standard normal random variable. Find the following probabilities. P(Z<1.48). P(Z<−0.25) P(Z>165) P(0.6<Z<1.67)
- A random sample of n = 100 observations is selected from a population with u = 31 and o = 21. Approximate the probabilities shown below. a. P(x2 28) c. P(xs 28.2) b. P(22.1sxs26.8) d. P(x2 27.0) Click the icon to view the table of normal curve areas.In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.Do you try to pad an insurance claim to cover your deductible? About 41% of all U.S. adults will try to pad their insurance claims! Suppose that you are the director of an insurance adjustment office. Your office has just received 130 insurance claims to be processed in the next few days. Find the following probabilities. (Round your answers to four decimal places.) (a) half or more of the claims have been padded(b) fewer than 45 of the claims have been padded(c) from 40 to 64 of the claims have been padded(d) more than 80 of the claims have not been paddedIn the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. More than a decade ago, high levels of lead in the blood put 90% of children at risk. A concerted effort was made to remove lead from the environment. Now, suppose only 11% of children in the United States are at risk of high blood-lead levels. (a) In a random sample of 198 children taken more than a decade ago, what is the probability that 50 or more had high blood-lead levels? (Round your answer to three decimal places.) (b) In a random sample of 198 children taken now, what is the probability that 50 or more have high blood-lead levels? (Round your answer to three decimal places.) US V O 2:14 & 6. b m
- In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.More than a decade ago, high levels of lead in the blood put 81% of children at risk. A concerted effort was made to remove lead from the environment. Now, suppose only 12% of children in the United States are at risk of high blood-lead levels. (a) In a random sample of 208 children taken more than a decade ago, what is the probability that 50 or more had high blood-lead levels? (Round your answer to three decimal places.) (b) In a random sample of 208 children taken now, what is the probability that 50 or more have high blood-lead levels? (Round your answer to three decimal places.)In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.More than a decade ago, high levels of lead in the blood put 84% of children at risk. A concerted effort was made to remove lead from the environment. Now, suppose only 13% of children in the United States are at risk of high blood-lead levels. (a) In a random sample of 216 children taken more than a decade ago, what is the probability that 50 or more had high blood-lead levels? (Round your answer to three decimal places.) (b) In a random sample of 216 children taken now, what is the probability that 50 or more have high blood-lead levels? (Round your answer to three decimal places.)In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.Do you try to pad an insurance claim to cover your deductible? About 42% of all U.S. adults will try to pad their insurance claims! Suppose that you are the director of an insurance adjustment office. Your office has just received 140 insurance claims to be processed in the next few days. Find the following probabilities. (Round your answers to four decimal places.) (a) half or more of the claims have been padded(b) fewer than 45 of the claims have been padded(c) from 40 to 64 of the claims have been padded(d) more than 80 of the claims have not been padded
- Supposed Y follow a binomial distribution with n = 15 and p = 0.4. a.) Find the exact probabilities of Y < 8 and Y = 8 (from the included tables). b.) Compare these to the corresponding values found by using the normal approximation (from the included tables).Let X be a binomial random variable with n = 50 and p = .25. Approximate the following probabilities: P(X <20). Show your work below.In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. Do you try to pad an insurance claim to cover your deductible? About 37% of all U.S. adults will try to pad their insurance claims! Suppose that you are the director of an insurance adjustment office. Your office has just received 126 insurance claims to be processed in the next few days. Find the following probabilities. (Round your answers to four decimal places.) A USE SALT (a) half or more of the claims have been padded (b) fewer than 45 of the claims have been padded (c) from 40 to 64 of the claims have been padded (d) more than 80 of the claims have not been padded
