Question

Students are randomly assigned housing when they enter the college. Thus, three friends will be randomly...

Students are randomly assigned housing when they enter the college. Thus, three friends will be randomly assigned to one out of four houses with equal probability.

a) What is the probability that all three of them are assigned to the same house?

b) What is the probability that all three will be assigned to different house?

c) What is the probability that two of them will be assigned to the same house and the other to a different house?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A study conducted through the University of Wisconsin examined food and housing insecurity among college students....
A study conducted through the University of Wisconsin examined food and housing insecurity among college students. In the study, students from 2- and 4-year colleges were asked to classify themselves based on relationship status, which had 5 options. The probabilities for randomly selecting a student from a 4-year with a particular relationship status is listed in the table below. Relationship Status Single In a relationship Married Divorced Widowed Probability 0.56 0.34 ? .01 .001 a. For the distribution above to...
At a local community college, 49% of students who enter the college as freshmen go on...
At a local community college, 49% of students who enter the college as freshmen go on to graduate. Eight freshmen are randomly selected. a. What is the probability that none of them graduates from the local community college? (Do not round intermediate calculations. Round your final answer to 4 decimal places.) b. What is the probability that at most seven will graduate from the local community college? (Do not round intermediate calculations. Round your final answer to 4 decimal places.)...
Suppose that 56% of all college students are female and that we randomly select 15 college...
Suppose that 56% of all college students are female and that we randomly select 15 college students. a) What is the probability that exactly 8 of the students will be female? b) What is the probability that 10 or more of the students will be female? c) What is the mean number μ of females in such randomly selected groups of 15 students? d) What is the standard deviation σ of the number of females in such randomly selected groups...
What are the breakfast-eating habits of college students? A group of 460 college students was surveyed...
What are the breakfast-eating habits of college students? A group of 460 college students was surveyed over several typical weekdays, and 322 of them reported that they had eaten breakfast that day. Let B be the event of interest—that a college student eats breakfast. a) Based on this information, what is the estimate of P(B), the probability that a randomly chosen college student eats breakfast? b) Which of the following would provide even more convincing evidence that, indeed, P(B) is...
20% of all college students volunteer their time. Is the percentage of college students who are...
20% of all college students volunteer their time. Is the percentage of college students who are volunteers different for students receiving financial aid? Of the 363 randomly selected students who receive financial aid, 58 of them volunteered their time. What can be concluded at the α = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: H 0 : (please enter a decimal) H 1 : (Please enter a decimal) The test...
Suppose that 30% of all college students smoke cigarettes. A sample of 14 is selected randomly....
Suppose that 30% of all college students smoke cigarettes. A sample of 14 is selected randomly. What is the probability that at least 2 students smoke? Round your answer to four decimal places.
Suppose that 20% of all college students smoke cigarettes. A sample of 12 is selected randomly....
Suppose that 20% of all college students smoke cigarettes. A sample of 12 is selected randomly. What is the probability that less than 8 students smoke? Round your answer to four decimal places.
Question 1. In MATH 233 course of this semester, there are 26 students and six of...
Question 1. In MATH 233 course of this semester, there are 26 students and six of them are women. (a) How many ways are there to select a group of four students from MATH 233 students so that there is at least one women in the group? (b) If I randomly select a group of four, what is the probability that the group has women only? (c) I randomly choose a group of four out of 26 students. Then, again,...
A group of 460 college students was surveyed over several typical weekdays, and 253 of them...
A group of 460 college students was surveyed over several typical weekdays, and 253 of them reported that they had eaten breakfast that day. Let B be the event that a college student eats breakfast. 47.Based on this information, what is the estimate of P(B), the probability that a randomly chosen college student eats breakfast? a. 253 b. 253/460 c. It is impossible to tell d. We cannot estimate probabilities: we either know them or we don’t. 48.Which of the...
Three friends go out for a coffee. To choose the one that will pay the coffee...
Three friends go out for a coffee. To choose the one that will pay the coffee they play the following game: each one flips a coin, and whoever gets a different result will have to pay, if everyone gets the same result they will continue to throw until someone loses. The coin is not balanced, the face probability is 0.60. Calculate the probability that less than 5 games have to be played before one of them has to pay.