Suppose X∼B(03,0.05). For this distribution, is the normal approximation reasonable? Your answer must make reference to...

Suppose X∼B(03,0.05).

For this distribution, is the normal approximation reasonable? Your answer must make reference to skewness.
If you take a sample of size 120, what's the approximate probability that the proportion of successes will be larger than 0.65? (Answer this regardless of your answer to a.)

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Suppose X ~ B(b,0.c)(Use the value B(84,0.40)). i) For this distribution, is the normal approximation reasonable?...

Suppose X ~ B(b,0.c)(Use the value B(84,0.40)). i) For this distribution, is the normal approximation reasonable? Your answer must make reference to skewness. ii) If you take a sample of size 120, what's the approximate probability that the proportion of successes will be larger than 0.65? (Answer this regardless of your answer to i.)

If P=0.4% and n =600. Is the poison distribution a reasonable approximation distribution of the binomial...

If P=0.4% and n =600. Is the poison distribution a reasonable approximation distribution of the binomial distribution? Yes or No What is the mean of this binomial distribution ( and the mean of poison distribution used to approximate it) Mean= What is the actual mean of this binomial distribution Standard deviation (actual)= What is the mean of the approximate poison distribution? Standard deviation approximate Are these values in reasonable agreement

Mean and Variance of: continuous uniform distribution, normal distribution, normal approximation for binomial and Poisson distributions,...

Mean and Variance of: continuous uniform distribution, normal distribution, normal approximation for binomial and Poisson distributions, exponential distribution. and Continuous random variables Cumulative Distribution Function. In your own words summarize the above in three to five long sentences

Suppose x has a normal distribution with a mean of 78 and a variance of 484.00....

Suppose x has a normal distribution with a mean of 78 and a variance of 484.00. If a sample of 19 were randomly drawn from the population, find the probability of for each of the following situations. a) less than 79: probability = b) greater than 85: probability = c) in between 68 and 84: probability = d) in between 77 and 91: probability = Note: Do NOT input probability responses as percentages; e.g., do NOT input 0.9194 as...

Suppose x has a normal distribution with a mean of 79 and a variance of 441.00....

Suppose x has a normal distribution with a mean of 79 and a variance of 441.00. If a sample of 15 were randomly drawn from the population, find the probability of mu hat for each of the following situations. a) less than 77: probability = b) greater than 83: probability = c) in between 65 and 76: probability = d) in between 76 and 94: probability =

1. Suppose the variable x is represented by a standard normal distribution. What is the probability...

1. Suppose the variable x is represented by a standard normal distribution. What is the probability of x < -0.6? Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12). 2. Suppose the variable x is represented by a standard normal distribution. What value of x is at the 90th percentile of the distribution? Equivalently, what is the value for which there is a probability of 0.90 that x...

A binomial distribution has p = 0.27 and n = 94 Use the normal approximation to...

A binomial distribution has p = 0.27 and n = 94 Use the normal approximation to the binomial distribution to answer parts (a) through (d) below. a) What are the mean and standard deviation for this distribution? b) What is the probability of exactly 18 successes? c) What is the probability of 20 to 27 successes? d) What is the probability of 13 to 22 successes?

Question