Question

In: Statistics and Probability

Use the normal approximation to find the indicated probability. The sample size is n, the population...

Use the normal approximation to find the indicated probability. The sample size is n, the population proportion of successes is p, and X is the number of successes in the sample.
n = 85, p = 0.64: P(X > 52)

Solutions

Expert Solution

Using Normal Approximation,

n= 85, p= 0.64, q = 0.36

Mu = n*p = 54.4

Sigma = sqrt(n*p*q) = 4.4254

Dear student,
I am waiting for your feedback. I have given my 100% to solve your queries. If you satisfied with my answer then please please like this.
Thank You


Related Solutions

Use a normal approximation to find the probability of the indicated number of voters. In this...
Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that 187 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted. Probability that exactly 46 voted The probability that exactly 46 of 187 eligible voters voted is ______ ​(Round to four decimal places as​ needed.)
Use a normal approximation to find the probability of the indicated number of voters. In this​...
Use a normal approximation to find the probability of the indicated number of voters. In this​ case, assume that 170 eligible voters aged​ 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged​ 18-24, 22% of them voted. Probability that fewer than 43 voted. The probability that fewer than 43 of 170 eligible voters voted is
Use a normal approximation to find the probability of the indicated number of voters. In this​...
Use a normal approximation to find the probability of the indicated number of voters. In this​ case, assume that 123 eligible voters aged​ 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged​ 18-24, 22% of them voted. Probability that exactly 31 voted The probability that exactly 31 of 123 eligible voters voted is ? .
Use a normal approximation to find the probability of the indicated number of voters. In this​...
Use a normal approximation to find the probability of the indicated number of voters. In this​ case, assume that 144eligible voters aged​ 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged​ 18-24, 22% of them voted. Probability that fewer than 34 voted The probability that fewer than 34 of 144 eligible voters voted is?
Use a normal approximation to find the probability of the indicated number of voters. In this​...
Use a normal approximation to find the probability of the indicated number of voters. In this​ case, assume that 156 eligible voters aged​ 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged​ 18-24, 22% of them voted. The probability that fewer than 37 voted
Use a normal approximation to find the probability of the indicated number of voters. In this​...
Use a normal approximation to find the probability of the indicated number of voters. In this​ case, assume that 120 eligible voters aged​ 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged​ 18-24, 22% of them voted. Probability that fewer than 30 voted?
Use a normal approximation to find the probability of the indicated number of voters. In this​...
Use a normal approximation to find the probability of the indicated number of voters. In this​ case, assume that 160 eligible voters aged​ 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged​ 18-24, 22% of them voted. Probability that fewer than 39 voted The probability that fewer than 39 of 160 eligible voters voted is _____.
Assuming the population has an approximate normal distribution, if a sample size n=10 has a sample...
Assuming the population has an approximate normal distribution, if a sample size n=10 has a sample mean ¯x=36 with a sample standard deviation s=9, find the margin of error at a 90% confidence level. THEN YOU MUST ROUND ANSWER TO TWO DECIMALS PLACES.
Section 8.1 #38 A sample of size n = 80 is drawn from a normal population...
Section 8.1 #38 A sample of size n = 80 is drawn from a normal population whose standard deviation is σ = 6.8. The sample mean is x̄ = 40.41. a. Construct a 90% confidence interval for μ. b. If the population were not approximately normal, would the confidence interval constructed in part (a) be valid? Explain
A sample of size n =52 is drawn from a normal population whose standard deviation is...
A sample of size n =52 is drawn from a normal population whose standard deviation is σ=7.9. The sample mean is x=43.78 (a) Construct a 80% confidence interval for μ. Round the answer to at least two decimal places.. (b) If the population were not approximately normal, would the confidence interval constructed in part (a) be valid? Is the sample large?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT