Question

In: Statistics and Probability

It is known that 80% of all college professors have doctoral degrees. If 10 professors are...

It is known that 80% of all college professors have doctoral degrees. If 10 professors are randomly selected, find the probability that

a. fewer than 4 have doctoral degrees.

b. At least 6 have doctoral degrees.

c. Between 5 and 7 (inclusive) have doctoral degrees.

d. Calculate the mean or expected number. e. Calculate the variance and standard deviation.

Solutions

Expert Solution

a)

b)

c)

d)


Related Solutions

QUESTION 1 [10] It is known that 80 % of all students have their own laptops,...
QUESTION 1 [10] It is known that 80 % of all students have their own laptops, thus in a random sample of eight students, find the following probabilities: 1.1) That exactly seven students will have their own laptops. (3) 1.2) That at least six students will have their own laptops. (4) 1.3) That at most five students will have their own laptops (4) QUESTION 2 [11] The number of accidents that occur on an assembly line have a Poisson distribution...
A random sample of 20 college professors is selected from all professors at a university. The...
A random sample of 20 college professors is selected from all professors at a university. The following list gives their ages: 27, 52, 49, 63, 60, 57, 48, 53, 47, 42, 51, 54, 62, 60, 49, 58, 56, 47, 44, 49 [a] (1 point) What is the POPULATION in this problem? [b] (1 point) What is the SAMPLE? [c] (1 point) State whether the ages of professors are QUANTITATIVE or QUALITATIVE? [d] (1 point) If quantitative, is it DISCRETE or...
In one town, monthly incomes for all men without college degrees are found to have a...
In one town, monthly incomes for all men without college degrees are found to have a standard deviation of $650. Use a 0.01 significance level to test the claim that for men with college degrees in that town, incomes have a standard deviation above $650. A random sample of 27 men with college degrees resulted in incomes with a standard deviation of $825.
When conducting research, it is imperative that all researchers, whether they be college professors, practitioners in...
When conducting research, it is imperative that all researchers, whether they be college professors, practitioners in the field, or graduate or undergraduate students, adhere to high ethical standards in their work. Describe three different ethical standards that researchers should follow. Illustrate each one with a concrete example.
Mary and Bob have been married for 25 years. They are both college professors. Mary (50...
Mary and Bob have been married for 25 years. They are both college professors. Mary (50 years of age) makes $65,000 annually and Bob (60 years of age) makes $75,000 annually. Their oldest daughter is getting married. Bob and Mary would like to either 1) take out a second mortgage on their home (they can get an interest rate of 7 percent) or 2) withdraw funds from their IRAs or 3) sell their rental property. The cost of the wedding...
10. Suppose the proportion of all college students who have changed their major in the last...
10. Suppose the proportion of all college students who have changed their major in the last two semesters is 60%. If a class of 200 students is considered. What is the probability that the proportion of students who may change their major in the next 2 semesters are more than 115?  
10% of all college students volunteer their time. Is the percentage of college students who are...
10% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 339 randomly selected students who receive financial aid, 17 of them volunteered their time. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be:    H0:H0:  ? p...
10% of all college students volunteer their time. Is the percentage of college students who are...
10% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 322 randomly selected students who receive financial aid, 26 of them volunteered their time. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be:    H0:H0:  ? μ...
The average "psychological health" score for college professors in America is µ = 24.00 on a...
The average "psychological health" score for college professors in America is µ = 24.00 on a standardized "psychological health" survey. A statistics student from Valpo wants to know if professors from Valpo have "psychological health" scores that are significantly different than the national average. The student has N = 36 Valpo professors complete the survey and finds that their M = 21.00 with a standard deviation of SD = 5.00. Test this prediction using a two-tailed test using an α...
A researcher wants to determine if the average salaries for professors at all public and all...
A researcher wants to determine if the average salaries for professors at all public and all private universities are different. He randomly selects 30 professors from public universities and independently 30 professors from private universities. The data are in thousands of dollars. The statistics are given below. Test the claim that the average salaries for all professors at public and private universities are different. Use α = 0.05 and fully justify! Mean 65.5 76.8 -11.3 Standard Deviation 24.3 24.3 24.3...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT