Having endured and survived the mental trauma that comes from taking two years of chemistry, a year of physics, and a year of biology, Bill decides to test the medical school waters and sends his applications to two colleges X and Y. Based on how his friends have fared, he estimates that his probability of being accepted at X is 0.7, and at Y is 0.4. He also suspects that there is a 75% chance at least one of his applications will be rejected. What is the probability that Bill was accepted at College Y given that he was accepted at College X?

Having endured and survived the mental trauma that comes from taking two years of chemistry, a year of physics, and a year of biology, Bill decides to test the medical school waters and sends his applications to two colleges X and Y. Based on how his friends have fared, he estimates that his probability of being accepted at X is 0.7, and at Y is 0.4. He also suspects that there is a 75% chance at least one of his applications will be rejected. What is the probability that Bill was accepted at College Y given that he was accepted at College X?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 25PPS

See similar textbooks

Related questions

Q: In a museum gift shop, a miniature dinosaur, the Acrocanthosaurus, is 22.8 centimeters long and 15.9…

A: Given Data: The length of the miniature dinosaur is: l=22.8 cm The height of the miniature dinosaur…

Q: 2. Using AABC, identify the ratio for tangent of ZB. 17 cm -C B- 15 cm 8 cm A.

Q: 3. 3 de dy 40

Q: List the sides in order from the smallest to the largest. V 38° 66° 76°

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: Find the measure of the remote exterior angle. mZx = (4n – 18)* m/y = (n+ 8)" mLz - (133-6п)" %3D…

Q: 4. Slow country tunes Here are the lengths, in minutes, of the 50 most popular mp3 downloads of…

A: Given information: The 50 observations are given related to the length of the songs in minutes.…

Q: In a test of a sex-selection technique, results consisted of 242 female babies and 15 male babies.…

A: Number of female babies =242 Number of male babies = 15 Total babies = 242+15…

Q: Suppose that P(A|B)=0.3, P(A|B')=0.3, and P(B)=0.9. What is the P(A)? Round your answer to two…

A: It is given that P(A/B) = 0.3 P(A/B’) = 0.3 P(B) = 0.9

Q: regional automobile dealership sent out fliers to prospective customers indicating that they had…

A: From the part b and c we get.

Q: where ABC is an isosceles triangle in which AB = AC. P is any point in the interior of AABC such…

A: Given: AB = AC <ABP = <ACP

Q: Verify that the following function is a probability mass function, and determine the requested…

A: Note: According to Bartleby guidelines expert solve only one question and maximum three subpart of…

Q: KnOwn equation x² + y² + z-9 = 0 and a point X₁(1,2,4), Determine: a. tangent vector equation; b.…

Q: mperature at which a certain compound melts is a random variable with mean value 115°C and standard…

A: It is given that the temperature at which certain compound melts are a random variable with a mean…

Q: The price of a condominium is $152,000. The bank requires a 5% down payment and one point at the…

A: We will use the given information to answer the parts a to c given as questions.

Q: 4) Suppose that the lifetime of a component (in hours) is modeled with a Weibull distribution with B…

A: Wei bull distribution : The Weibull Distribution may be a continuous chance distribution which will…

Q: In the figure below, P(x; 24) is a point such that OP = 25 and RÔP = B., where ß is an obtuse angle.…

Q: Suppose f(x) = 0.50 for 0 < x < 2. Determine the mean and variance of X. Mean = i (Round the answer…

A: It is given that f(x) = 0.50, 0 < x < 2

Q: Find the real root of the given function f(x) = e²x -x-6=0 by Newton-Raphson iterative method and…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 77.) Find the inverse function of f algebraically. Graph and describe the relationship between f and…

Q: 0 1 2 345 y = f(x)9 10 109 79 0 123 4 5 y = g(x) 15 12 32 10 2 And fill in the following six tables:…

Q: Find the measure of each angle in Triangle ABC. mZa = (50 – z) mZb = (9x- 40) %3| mLc= 90° OA. mla =…

Q: 4. d dt X(t): = 13] 4 X(t), X(0) = 4 2 4

Q: Construct the truth table of the following propositions: a. [(p + q) ^ q] -p b. ((p v q)A(- p)] → 9…

A: If and only if its propositional variables are true for all possible truth values, the proposition…

Question

Having endured and survived the mental trauma
that comes from taking two years of chemistry, a
year of physics, and a year of biology, Bill decides to
test the medical school waters and sends his
applications to two colleges X and Y. Based on how
his friends have fared, he estimates that his
probability of being accepted at X is 0.7, and at Y is
0.4. He also suspects that there is a 75% chance at
least one of his applications will be rejected. What is
the probability that Bill was accepted at College Y
given that he was accepted at College X?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

It did not answer the questions since it was asking What is the probability that Bill was accepted at College Y given that he was accepted at College X?

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)
A psychologist would like to examine the effects of a new drug on the activity level of animals. Three samples of rats are selected with n = 5 in each sample. The rats in the first sample serve as a control and do not get any of the drug. The rats in the second group receive a small dose, and the rats in the third group each get a large dose of the drug. The researcher records the activity level for each animal. Do these data indicate any significant differences among the three groups? Show all five steps, but you do not need to carry out post hoc analyses. Use alpha = .05. %3D Controls Small dose Large dose 2 15 2 12 3 2 3 2 2 12 1 1 3 SS = 4 SS = 2 SS = 6 EX2 = 9 EX2 = 22 EX2 = 51 G = 30
Your math teacher Ms. Washington notices that students with calculators do better on her math tests than those without calculators. To test her hypothesis, she randomly chooses 20 students and tracks their progress. She then gives 10 of those students a calculator and after a period of times compares progress again. The calculator group showed an increase. Which fact would lead you to believe that the relationship between calculator and progress may be one of causation? Tim’s scores decreased with the calculator. Tom’s scores increased with the calculator. A control group was used and the subjects were chosen randomly. Tammy’s scores did not change with the calculator.
The mother of a teenager has heard a claim that 24% of teenagers who drive and use a cell phone reported texting while driving. She thinks that this rate is too high and wants to test the hypothesis that fewer than 24% of these drivers have texted while driving. Her alternative hypothesis is that the percentage of teenagers who have texted when driving is less than 24%. Ho: p= 0.24 Ha: p<0.24 She polls 50 randomly selected teenagers, and 6 of them report having texted while driving, a proportion of 0.12. The p-value is 0.023. Explain the meaning of the p-value in the context of this question. The p-value says that if the true proportion of teenagers who text while driving is then there is only a V probability that one would get a sample proportion of V or smaller with a sample size of
Night Owls proportion of MSU students who regularly sleep less than 8 hours each night is less than the value reported by the MSU psychologist. She randomly selects 215 students and asks them, "Do you regularly sleep less than 8 hours each night?" She finds that 77 of the 215 students answered "yes" to the question. A MSU psychologist reports that 40% of MSU students regularly sleep less than 8 hours each night. Cindy believes that the actual 1. Which one of the following statements about the number 40% is correct? A. It is a sample statistic. B. It is a standard error. C. It is a margin of error. D. It is a claimed parameter. 2. Choose the null and alternative hypotheses Cindy should use to test her theory. А. Но : р %3D 0.4, Нд : р+0.4 В. Но : р %3D 0.4, На : р 0.4 3. If you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions for this hypothesis test? OA. 28 В. 10 C. None of the above D. 20 Е. 77 OF.…
A pizza chain advertises that, in recent taste experiment in which their pizza (pizza A) was compared with the other four leading pizza chains, more people preferred their pizza to the other four. The data from the taste experiment are recorded as: Pizza A = 60 people, Pizza B = 45 people, Pizza C = 52 people, Pizza D = 43 people and Pizza E = 50 people. Do you believe the ad to be misleading? Use a = 0.05 in making your decision and follow all necessary testing procedures.
Nathan has been quietly practicing his skills and is now an amazing dart player. At this point, he has a 70% chance to hit the bull’s eye on any given throw! Let’s assume that each throw of the dart is independent of another. Nathan decides to test himself and enters a Friday night dart tournament, he will have to throw 120 darts across several matches, let B = the number of bull’s eyes that he hits. 1.Check the criteria to show that B is a binomial random variable. 2.Check the conditions for using a Normal approximation in this setting 3. What’s the probability that Nathan will hit at least 75 bull’s eyes across the tournament?
In the question I am about to ask, I need help finding p-value, as I'm not sure how to test for it. On my calculator I checked, 2-SampZTest and 2-SampTTest, both giving me p=0, which I want to double check. I've already found the test statistic: 0.99. And you'll need the following variables: x1=61, x2=62, n1=100, n2= 125, p1 = 0.61, p2=0.544, p= 0.573, q=0.427 Question: In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 61 of 100 urban residents favor the construction while only 68 of 125 suburban residents are in favor. Is there a significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant? Make use of a P-value. Please correct me if I've made any mistakes in this problem. Thank you.
Brady manages a small airline, and their goal is for 90% of passengers to say they are satisfied after a flight. Suppose he took a random sample of 10 passengers from a flight of 50 passengers to test the hypotheses Ho : p = 0.90 versus Ha : p 10 and n(1 – p) > 10 Individual observations can be considered independent.
According to one investigator's model, the data are like 400 draws made at random from a large box. The null hypothesis says that the average of the box equals 50; the alternative says that the average of the box is more than 50. In fact, the data averaged out to 52.7, and the SD was 25. Compute z:
A study of young children was designed to increase their intake of whole-grain, rather than regular-grain, snacks. At the end of the study, the 79 children who participated in the study were presented with a choice between a regular-grain snack and a whole-grain alternative. The whole-grain alternative was chosen by 55 children. You want to examine the possibility that the children are equally likely to choose each type of snack. H0: p = 0.5Ha: p ≠ 0.5 Perform the significance test. (Use α = 0.01. Round your test statistic to two decimal places and your P-value to four decimal places.)
A new over-the-counter medicine to treat a sore throat is to be tested for effectiveness. The makers of the medicine take two random samples of 25 individuals showing symptoms of a sore throat. Group 1 receives the new medicine and Group 2 receives a placebo. After a few days on the medicine, each group is interviewed and asked how they would rate their comfort level 1-10 (1 being the most uncomfortable and 10 being no discomfort at all). The results are below. Find the 95% confidence interval in the difference of the mean comfort level. Is there sufficient evidence to conclude that the new medicine is effective? Assume the data is normally distributed with unequal variances. (Round answers to 4 decimal places) Make sure you put the 0 in front of the decimal. Average Group 1 = 5.84, SD Group 1 = 2.211334, n1 = 25 Average Group 2 = 3.96, SD Group 2 = 2.35372, n2 = 25