Suppose that 32 students signed up for classes during an orientation session. If exactly 20 of them signed up for chemistry and exactly 16 of them signed up for English, how many of them signed up for both chemistry and english? apply Polya's four step strategy

Suppose that 32 students signed up for classes during an orientation session. If exactly 20 of them signed up for chemistry and exactly 16 of them signed up for English, how many of them signed up for both chemistry and english? apply Polya's four step strategy

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Suppose there is a bowl of 22 Hershey's Miniatures candy bars on the table containing 3 Mr. Goodbars (G), 8 Krackel bars (K), and 11 Hershey chocolate bars (H). Someone already ate all the Special Dark chocolate bars since dark chocolate is good for you. You are golng to grab 5 bars, without replacement. (Who'd want to replace them? We'd still eat 'em). Setup and calculate each probability below. Express your answer in decimal form, including as many decimal places as your calculator will give you. P(all 5 are Hershey chocolate bars): Set up: Result: P(3 are Mr. Goodbars, and 2 are Krackel bars): Set up: Result: P(3 are Krackel bars, and 2 are Hershey chocolate bars): Result: Set up: P(nane of the 5 bars are Hershey chocolate bars): Besult Set up:
Based on long experience, an airline found that about 4% of the people making reservations on a flight from Miami to Denver do not show up for the flight. Suppose the airline overbooks this flight by selling 267 ticket reservations for an airplane with only 255 seats.
StarHortons Cup, the coffee company, wants to determine how long caffeine lasts throughout the day when individuals have a cup of one of their 3 types of coffee at 9am. They will then measure the levels of caffeine in these individuals’ systems at 10am, 12am, 2pm, 4pm, 6pm and 8pm. They want to have at least 20 observations per group. How many separate/distinct groups of participants are needed if they want to conduct this experiment using a mixed-measures ANOVA? 18 6 20 3
Phoenix is a hub for a large airline. Suppose that on a particular day, 8,000 passengers arrived in Phoenix on this airline. Phoenix was the final destination for 1,600 of these passengers. The others were all connecting to flights to other cities. On this particular day, several inbound flights were late, and 410 connecting passengers missed their connecting flight and were delayed in Phoenix. Of the 410 who were delayed, 85 were delayed overnight and had to spend the night in Phoenix. Consider the chance experiment of choosing a passenger at random from these 8,000 passengers. Calculate the following probabilities. (Round your answers to three decimal places.) (a) Calculate the probability that the selected passenger had Phoenix as a final destination. (b) Calculate the probability that the selected passenger did not have Phoenix as a final destination. (c) Calculate the probability that the selected passenger was connecting and missed the connecting flight. (d) Calculate the…
In an animal shelter, 100 cats and 50 dogs are being accommodated. Table below shows age group of the cats and dogs а. Dogs Cats Total Old 40 70 110 Young 10 30 40 Total 50 100 150 b. In a smaller animal shelter, 12 cats and 5 dogs are being accommodated. Table below shows age group of the cats and dogs. Dogs Cats Total Old 4 7 11 Young 1 5 6 Total 12 17 Why are there more old animals in shelters than young ones?
Suppose that the captain of a ship that is in distress must send a total of eleven different signals in succession. The eleven signals com- prise of 4 blue light signals (B1, B2, B3 and B4), 4 purple light signals (P1, P2, P3 and P4) and 3 red light signals (R1, R2 and R3). He must send the signals one after another at 1 minute intervals. In how many different ways may the captain send the signals if the purple light signals are the first 4 signals and the red light signals are the last 3 signals? [Answer]
not A 1995 study by the School of Public Health reported that 87% of male students who live in a fraterity house are binge drinkers. The figure for fraternity members who are residents of a fraternity house is 71 %, while the figure for men who do not belong to a fraternity is 44 % Suppose that 11% of U.S. male students live in a fraternity house, 15% belong to a fraterity but do not live in a fraterity house, and 74% do not belong to a fraterity a. What is the probability that a randomly selected malp student is a binge drinker? b. If a randomly selected male student is a binge drinker, what is the probability that he lives in a fraterity house? The probability that a randomly selected male student is a binge drinker is 0.5509 (Type an integer or a decimal rounded to two decimal places as needed) CETTE
Sarah believes that completely cutting caffeine out of a person's diet will allow him or her more restful sleep at night. In fact, she believes that, on average, adults will have more than two additional nights of restful sleep in a four-week period after removing caffeine from their diets. She randomly selects 8 adults to help her test this theory. Each person is asked to consume two caffeinated beverages per day for 28 days, and then cut back to no caffeinated beverages for the following 28 days. During each period, the participants record the numbers of nights of restful sleep that they had. The following table gives the results of the study. Test Sarah's claim at the 0.05 level of significance assuming that the population distribution of the paired differences is approximately normal. Let the period before removing caffeine be Population 1 and let the period after removing caffeine be Population 2. Numbers of Nights of Restful Sleep in a Four-Week Period With Caffeine 24 22 24 20…
When looking at the data for graduate school admissions between men and women, it is shown that about 45% of men are admitted but only 38% of women. However, when the data is broken down by school it turns out that, within each school, the women are admitted at higher rates than the men. This could happen because I. The women apply in higher numbers to schools with lower acceptance rates. II. The women apply in higher numbers to schools with higher acceptance rates III. The men apply in higher numbers to schools with lower acceptance rates IV. The men apply in higher numbers to schools with higher acceptance rates
A group of 650 tourists includes 248 who have visited Germany, 115 who have visited Holland,and 319 who have visited neither Germany nor Holland. Use the Addition Principle to computehow many have visited both Germany and Holland.
After an earthquake, 32 homes in a remote area were checked by public safety officers before nightfall. They found that 22 of the houses had no gas, including 10 houses whose own gas lines were damaged. (A house loses its gas service if it has damage to its own line or if there is damage to the feeder line.) Of those houses that lost their gas, only 4 did not lose their electricity. Twenty-four houses in all had no electricity, the same number of them lost only their electricity as those that both lost electricity and had damage to their gas lines. How many of the houses checked did not lose either gas or electricity, and how many lost only their gas service! Students, draw anywhere on this slide!
An undergraduate psychology course only gives the grades of A, B, C, or F. The department has determined that there should be 20% A's given, 30% B's given, 40% C's, and 10% F's given as final grades for the course. For the spring 2021 semester, 400 students took the course and 100 students received A's, 100 students received B's, 150 students received C's and 50 students received F's, so taose are my obsérved frequencies. We want to do a Chi-square Multinomial Goodness of Fit test to see if our grading guidelines match up with what is actually happening. What is the expected frequency for the grade of C category? Round your answer to the tenths position.