Question

In: Statistics and Probability

In a large corporation, 65% of the employees are male. A random sample of 5 employees...

In a large corporation, 65% of the employees are male. A random sample of 5 employees is

selected. We wish to determine the probability of selecting exactly 3 males. Use an appropriate

probability distribution to answer the following:

(a) Define the variable of interest for this scenario.

(b) What is the probability that the sample contains exactly three male employees?

(c) Justify the suitability of the probability distribution that you used to solve part (a).

(d) What is the expected number of male employees in the sample?

Solutions

Expert Solution

so we have used Binomial distribution here.

orchestra answered 1 year ago
Next > < Previous

Related Solutions

In a large corporation, 65% of the employees are male. A random sample of 5 employees...
In a large corporation, 65% of the employees are male. A random sample of 5 employees is selected. We wish to determine the probability of selecting exactly 3 males. Use an appropriate probability distribution to answer the following: (a) Define the variable of interest for this scenario. (b) What is the probability that the sample contains exactly three male employees? (c) Justify the suitability of the probability distribution that you used to solve part (a). (d) What is the expected...
5. Thirty percent of the employees of a large company are minorities. A random sample of...
5. Thirty percent of the employees of a large company are minorities. A random sample of 8 employees is selected. (Total: 7 marks; a-c: 2 marks each, d: 1 mark) a. What is the probability that the sample contains exactly 7 minorities? b. What is the probability that the sample contains less than 5 minorities? c. What is the probability that the sample contains exactly 1 non-minority? d. What is the expected number of minorities in the sample
In a large university, 20% of the students are male. If a random sample of twenty...
In a large university, 20% of the students are male. If a random sample of twenty two students is selected a. What is the probability that the sample contains exactly twelve male students? b. What is the probability that the sample will contain no male students? c. What is the probability that the sample will contain exactly twenty female students? d. What is the probability that the sample will contain more than nine male students? e. What is the probability...
The records of a random sample of 25 Amazon employees in a large city showed that...
The records of a random sample of 25 Amazon employees in a large city showed that the average years these employees had worked for the Amazon was ?̅= 4 years. Assume that we know that the population distribution of years Amazon employees have spent with the company is approximately Normal, with standard deviation ? = 1.3 years. Assume all conditions have been met. Construct and interpret a 99% confidence interval for the true mean years the population of Amazon employees...
Employees in a large company are entitled to 15-minute coffee breaks. A random sample of the...
Employees in a large company are entitled to 15-minute coffee breaks. A random sample of the duration of coffee breaks for 10 employees was taken with the times shown below. Assuming that the times are normally distributed, is there enough evidence at the 5% significance level to indicate that on average employees are taking longer coffee breaks than they are entitled to? Data Collected n x 1 12 2 16 3 14 4 18 5 21 6 17 7 19...
Each person in a random sample of 228 male teenagers and a random sample of 305...
Each person in a random sample of 228 male teenagers and a random sample of 305 female teenagers was asked how many hours he or she spent online in a typical week. The sample mean and standard deviation were 15.2 hours and 11.3 hours for males and 14.2 and 11.7 for females. (Use a statistical computer package to calculate the P-value. Use μmales − μfemales. Round your test statistic to two decimal places, your df down to the nearest whole...
A random sample of 100 employees from 5 different companies was randomly selected, and the number...
A random sample of 100 employees from 5 different companies was randomly selected, and the number who take public transportation to work was recorded. The results are listed below. Perform a homogeneity of proportions test to test the claim that the proportion who take public transportation to work is the same in all 5 companies. Use α= 0.01. 1 2 3 4 5 Use Public Trans. 18 25 12 33 22 Don't Use Public Trans. 82 75 88 67 78...
A simple random sample of 60 items resulted in a sample mean of 65. The population...
A simple random sample of 60 items resulted in a sample mean of 65. The population standard deviation is 16. a. Compute the 95% confidence interval for the population mean (to 1 decimal). ( , ) b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). ( , ) c. What is the effect of a larger sample size on the margin of...
A simple random sample of 60 items resulted in a sample mean of 65. The population...
A simple random sample of 60 items resulted in a sample mean of 65. The population standard deviation is 16. a. Compute the 95% confidence interval for the population mean (to 1 decimal). ( , ) b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals). ( , ) c. What is the effect of a larger sample size on the margin of...
A simple random sample has a sample size of n = 65. Given the population is...
A simple random sample has a sample size of n = 65. Given the population is normally distributed, find the critical value ta/2 corresponding to a 99% confidence level. a) 2.678 b) 2.575 c) 2.000 d) 2.660
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT