(1) The geographical distribution of the hometown of 80 students of PUP is given as: 50 from Luzon, 10 from Visayas, and 20 from Mindanao. How many ways can three students be selected at random such that NO student comes from Luzon and Mindanao. (2) An experiment consist of asking 3 women at random if they wash their dishes with brand X dishwashing liquid. List the elements of the sample space S using letters Y for “yes” and N for “no”.

(1) The geographical distribution of the hometown of 80 students of PUP is given as: 50 from Luzon, 10 from Visayas, and 20 from Mindanao. How many ways can three students be selected at random such that NO student comes from Luzon and Mindanao. (2) An experiment consist of asking 3 women at random if they wash their dishes with brand X dishwashing liquid. List the elements of the sample space S using letters Y for “yes” and N for “no”.

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

A community college has 7654 students currently enrolled in classes. To gain the students' opinions about an upcoming building project, the college president wishes to obtain a simple random sample of 8 students. He numbers the students from 1 to 7654. Complete parts (a) and (b) below. (a) Using the provided random number table, the president closes his eyes and drops his ink pen on the table. It points to the digit in row 2, column 4. Using this position as the starting point and proceeding downward, determine the numbers for the 8 students who will be included in the sample. The numbers for the students are _____________. (b) The president uses technology to produce the following random numbers. 6647, 7546, 5135, 795, 1216, 7546, 2732, 5137, 7350, 5135 Determine the numbers for 8 students who will be included in the sample. The numbers for the students are ______________.
In a large clinical trial, 395,780 children were randomly assigned to two groups. The treatment group consisted of 198,184 children given a vaccine for a certain disease, and 37 of those children developed the disease, The other 197,596 children were given a placebo, and 142 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n,, P1, 91, n2. P2, ĝ2. P, and q. n =
A gym manager is interested in whether the ‘beginner’ and ‘expert’ climbing walls (that were of the same height) at her facility are actually different from each other. To test this, she decides to look at the time it takes people to reach the top of both walls. She recruits 25 students and has them each climb both walls and looks for differences between the ‘beginner’ wall climbing times and the ‘expert’ wall climbing times. Select one: a. single sample t-test b. one-way ANOVA c. paired samples t-test d. z-test e. factorial ANOVA f. t-test independent means
In a large clinical trial, 393,215 children were randomly assigned to two groups. The treatment group consisted of 198,539 children given a vaccine for a certain disease, and 28 of those children developed the disease. The other 194,676 children were given a placebo, and 96 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n,, p1, q1, n2, P2, 92, p, and q. n1 = (Type an integer or a decimal rounded to eight decimal places as needed.) 91 = (Type an integer or a decimal rounded to eight decimal places as needed.) n2 P2 (Type an integer or a decimal rounded to eight decimal places as needed.) 92 (Type an integer or a decimal rounded to eight decimal places as needed.) p= (Type an integer or a decimal rounded to eight decimal places as needed.) q = (Type an integer or a decimal rounded to eight decimal places as needed.)
Suppose that Mairin has knit a collection of wool‑blend infinity scarves that she wants to sell in her Etsy shop for $28.00 each. However, she is worried that if the average price of comparable scarves is less than $28.00, hers would be less likely to sell. Mairin selected a random sample of 9 similar hand‑knit, wool‑blend infinity scarves, and their prices are as follows. $21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00$21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00 Use a left‑tailed one‑sample ?t‑test to determine whether the average price of hand‑knit, wool‑blend infinity scarves sold on Etsy is less than $28.00. Assume that the prices of all comparable scarves are normally distributed. Mairin should (reject, accept, fail to accept) her null hypothesis. There is (sufficient, no, insufficient) evidence that the mean price of hand‑knit, wool‑blend infinity scarves is (greater than, different from, less than, equal two) $28.00.
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
. List the 10 possible samples (without replacement) of size 2 that can be obtained from the population of five officials. Lieutenant Governor (L) Secretary of State (S) Attorney General (A) Representative (R) Press Secretary (P) b. If a simple random sampling procedure is used to obtain a sample of two officials, what are the chances that it is the first sample on your list in part (a)? the secondsample? the tenth sample?
In a large clinical trial, 401,476children were randomly assigned to two groups. The treatment group consisted of 202,144 children given a vaccine for a certain disease, and 29 of those children developed the disease. The other 199,332 children were given a placebo, and 113 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n1, p1, q1, n2, p2, q2, p, and q. n^1=
If the sample space is C = C1UC2 and if P(C1) = 0.62 and P(C2) = 0.55, find Q.2. P(C1NC2).
In a survey, it was found that 80% of adults operate the flusher of toilets in public restrooms with their foot. (a) If 300 adults are randomly selected, how many would we expect to flush toilets in public restrooms with their foot? (b) Would it be unusual to observe 255 adults who flush toilets in public restrooms with their foot? (a) We would expect (Type a whole number.) adults to flush toilets in public restrooms with their foot. (b) Would it be unusual to observe 255 adults who flush toilets in public restrooms with their foot? Choose the correct answer below. O A. Yes, because 255 is greater than u + 2o. O B. No, because 255 is greater than u + 20. O C. Yes, because 255 is between u - 20 and u+ 20. O D. No, because 255 is less than u- 20. O E. No, because 255 is between u -20 and u+ 20.
To get a sample of 50 students for a student services survey, an assistant principal uses the calculator command "randInt(1,72,5)" to pick five numbers between 1 and 72. He goes to those five pages in the 72-page directory and chooses the ten students pictured on each of those five pages. Will this sampling strategy result in a random sample from the population under consideration?