Question

In: Statistics and Probability

Only 30% of the students in a certain liberal arts college are males. Question 10 of...

Only 30% of the students in a certain liberal arts college are males.

Question 10 of 11

If two students from this college are selected at random, what is the probability that they are both males?

0

0.25

0.51

0.60

0.09

Again, only 30% of the students in a certain liberal arts college are males.

If two students from this college are selected at random, what is the probability that they are of the same gender?

0.21

0.42

0.49

0.58

0.09

Expert Solution

Answer 10: 0.09

Here we have used binomial distribution to calculate probability.

P(Both are males) = 0.09

Answer 11: 0.58

Here, we have to calculate

P(Gender is same) = P(Both are males) + P(Both are females)

We already have P(Both Males) = 0.09.

Now, we need to find P(Both females)

Only 30% of the students in a certain liberal arts college are males. so 70% are females.

We will binomial distribution to calculate probability of females just like we did for males in answer 10.

P(Both females) = 0.49

P(Gender is same) = P(Both are males) + P(Both females) = 0.09 + 0.49 = 0.58

orchestra answered 2 years ago

A group of 43 college students from a certain liberal arts college were randomly sampled and...

A group of 43 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The purpose of this study was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his...

A group of 70 college students from a certain liberal arts college were randomly sampled and...

A group of 70 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The purpose of this study was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his...

At a small liberal arts college, students can register for one to six courses. In a...

At a small liberal arts college, students can register for one to six courses. In a typical fall semester, 5% of students take one class, 26% take four classes, and 15% take six classes. a) If 77% of students take four or more classes, find the probability that a randomly selected student takes five courses. What is the probability that a randomly selected student takes three classes, if 10% take at most two classes? b) Calculate the expected value and...

Bay State Community College enrolls students in two departments, Liberal Arts and Sciences. The college also...

Bay State Community College enrolls students in two departments, Liberal Arts and Sciences. The college also has two service departments, the Library and the Computing Services Department. The usage of these two service departments’ output for the year is as follows: Provider of Service User of Service Library Computing Services Library — 10 % Computing Services — — Liberal Arts 80 % 20 % Sciences 20 % 70 % The budgeted costs in the two service departments for the...

People in a random sample of 235 students enrolled at a liberal arts college were asked...

People in a random sample of 235 students enrolled at a liberal arts college were asked questions about how many hours of sleep they get each night. The sample mean sleep duration (average hours of daily sleep) was 7.72 hours and the sample standard deviation was 1.04 hours. The recommended number of hours of sleep for college-age students is 8.4 hours. Is there convincing evidence that the population mean sleep duration for students at this college is less than the...

At one liberal arts college, students are classified as humanities majors, science majors, or undecided. The...

At one liberal arts college, students are classified as humanities majors, science majors, or undecided. The chances are 36% that a humanities major will change to a science major from one year to the next, and 17% that a humanities major will change to undecided. A science major will change to humanities with probability 0.31, and to undecided with probability 0.34. An undecided will switch to humanities or science with probabilities of 0.31 and 0.23, respectively. Find the long-range prediction...

(10) The average tuition and room and board cost at a small private liberal arts college...

(10) The average tuition and room and board cost at a small private liberal arts college is reported to be $20,000 per term. A study of 400 small liberal arts colleges find that the average cost per term is $20,100. The population standard deviation is $1,500. If α = 0.05, what is the critical Z value for the test: Ho: µ= 20,000?

Case Study: Omega College Omega College is a private liberal arts college located in a small...

Case Study: Omega College Omega College is a private liberal arts college located in a small town in the Midwest. The closest large city is about fifty miles away. There is a community college in the next town about twenty miles away. Most faculty and staff live in the town or in small towns nearby. Originally a Protestant-affiliated institution, Omega is now a completely independent institution and receives no funding from the church. It was founded in the late 1800s...

Consider the following case study: Darwin College Darwin College is a liberal arts college located in...

Consider the following case study: Darwin College Darwin College is a liberal arts college located in Northern Territory. You are the systems analyst assigned from the college IT department to conduct the systems analysis phase of the development of a new listing system for the school’s housing office. Based on your earlier recommendations, the housing office decided to continue the systems development process for a new listing system. Now, at the end of the systems analysis phase, you are ready...

An outbreak of gastroenteritis occurred at a liberal arts college with a student enrollment of 1164....

An outbreak of gastroenteritis occurred at a liberal arts college with a student enrollment of 1164. Forty-seven (47) students had sought care at the college Health Center between 10:30 p.m. on January 17 and 8:00 p.m. on January 18. The ill students seen at the Health Center all lived in dormitories totaled 756. The dormitory of residence of the 47 known cases, as well as the population and gender of the occupants of each dormitory is shown in the table...