Question

Compute the probability of 6 successes in a random sample of size n=11 obtained from a...

Compute the probability of 6 successes in a random sample of size n=11 obtained from a population of size N=70 that contains 25 successes.

The probability of 6 success is?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Binomial Probability Distribution: For a random variable X, given the probability of success is p, and probability of failure is q = (1-p), the probability of obtaining x successes in n independent trials of a binomial experiment, is

The probability of 6 successes in a random sample of size n=11 obtained from a population of size N=70 that contains 25 successes is

Here,

Sample size n=11,

No. of successes r = 6,

Probability of success p = (No of successes)/ Population size = 25/70 = 0.36

Probability of failure q = 1-p = 1- 0.36 = 0.64

Thus, probability of 6 successes is

= 0.1079 = 0.11

The probability of 6 successes in a random sample of size n=11 obtained from a population of size N=70 that contains 25 successes is 0.11.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Compute the probability of 7 successes in a random sample of size n equals=14 obtained from...
Compute the probability of 7 successes in a random sample of size n equals=14 obtained from a population of size N equals=50 that contains 21 successes.The probability of 7 successes is ... ​(Round to four decimal places as​ needed.)
A simple random sample size of n=800 is obtained from a population whose size is N=10,000,000...
A simple random sample size of n=800 is obtained from a population whose size is N=10,000,000 and whose population proportion with a specified characteristic is p=.32. a)describe the sampling distribution b) What is the probability of obtaining x=350 or more individuals with the characteristic?
A simple random sample size of n = 75 is obtained from a population whose size...
A simple random sample size of n = 75 is obtained from a population whose size is N = 10000 and whose population proportion with a specified characteristic is p = 0.8. a) What is the probability of obtaining x = 63 or more individuals with the characteristic? b) Construct a 90% interval for the population proportion if x = 30 and n = 150.
A random sample of size n=55 is obtained from a population with a standard deviation of...
A random sample of size n=55 is obtained from a population with a standard deviation of σ=17.2, and the sample mean is computed to be x=78.5. Compute the 95% confidence interval. Compute the 90% confidence interval. SHOW WORK
Develop an algorithm for generation a random sample of size N from a binomial random variable...
Develop an algorithm for generation a random sample of size N from a binomial random variable X with the parameter n, p. [Hint: X can be represented as the number of successes in n independent Bernoulli trials. Each success having probability p, and X = Si=1nXi , where Pr(Xi = 1) = p, and Pr(Xi = 0) = 1 – p.] (a) Generate a sample of size 32 from X ~ Binomial (n = 7, p = 0.2) (b) Compute...
A simple random sample of size n=11 is obtained from a population with μ=68 and σ=17....
A simple random sample of size n=11 is obtained from a population with μ=68 and σ=17. ​(a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample​ mean? Assuming that this condition is​ true, describe the sampling distribution of barx. ​(b) Assuming the normal model can be​ used, determine ​P(bar x < 71.4​). ​(c) Assuming the normal model can be​ used, determine ​P(bar x ≥ 69.6​).
A random sample of n = 25 is obtained from a population with variance 2 ,...
A random sample of n = 25 is obtained from a population with variance 2 , and the sample mean is computed to be  = 70. Consider the null hypothesis H0 :  = 80 against H1 :  < 80 and compute the p-value when 2 = 600.
Suppose a simple random sample of size n=1000 is obtained from a population whose size is...
Suppose a simple random sample of size n=1000 is obtained from a population whose size is N=2,000,000 and whose population proportion with a specified characteristic is p equals p=0.23. What is the probability of obtaining x=270 or more individuals with the characteristic? What is the probability of obtaining x=210 or fewer individuals with the characteristic?
8. A random sample of size n = 75 is obtained from a population whose size...
8. A random sample of size n = 75 is obtained from a population whose size is N = 12,000 and whose population proportion with a specified characteristic is P =0.8 . Describe the sampling distribution of p.
Suppose a simple random sample of size n=75 is obtained from a population whose size is...
Suppose a simple random sample of size n=75 is obtained from a population whose size is N= 25,000 and whose population proportion with a specified characteristic is p=0.2. ​(c) What is the probability of obtaining x=99 or fewer individuals with the​ characteristic? That​ is, what is ​P(p ≤ 0.12)? ​(Round to four decimal places as​ needed.)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT