Combinations of n Objects Taken r at a TimeIf a choice of several objects involves selections that regard order as insignificant,the total number of selections, called combinations, is given by„C₁ =n!r!(n-r)!1. Four children are chosen from a class of 30 for a survey. How many ways can this be done?2. A committee of 5 consisting of 3 girls and 2 boys is to be chosen from a class with 15 girls and 10 boys. Howmany distinct committees are possible to form?3. There are 5 defective light bulbs in a bin containing 60 light bulbs. How many ways can you select at least 4defective light bulbs when you choose 6 light bulbs at random?

Given problem Given that 1) Four children are chosen from a class of 30 for a survey. The…

Answered: 1. Four children are chosen from a…

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...

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In how many ways can 8 persons be seated around a table with 8 chairs if two individuals wanted to be seated side by side? Answer must be a whole number. Sample Answer: 3880
Suppose we want to estimate the proportion of the Helena population who have used marijuana within the last month. We select 4328 participants and ask them each to first privately draw a card from a standard 52-card deck. If they get a “club” they are asked to respond truthfully to the question “Have you used marijuana within the last month?”If they get any other suit they are asked to respond to the question “Does your phone number end in an odd digit?”The study is blinded in the sense that the researcher doesn’t know which question the participant is answering. Hence, participants are guaranteed anonymity and are more likely to be truthful in their responses. The researchers only get a “yes” or “no” answer from each respondent and don’t know the actual results of the card draw. What is the expected probability of a person’s phone number ending in an odd digit? What is the expected probability of a person’s phone number not ending in an odd digit?
1. Suppose we want to sample a neighborhood for a community needs assessment. The neighborhood has 7 subdivisions and 3 of the 7 are to be collected for household sampling. How many different ways can we select these households? ·
how many hand shakes with six people using polya problem
PLEASE TRY TO SOLVE ALL OF THESE (I AM STUDYING FOR A HUGE TEST!) THANK YOU!1. Caroline is doing research on the heights of players on her soccer team. Select each description that is an example of systematic sampling. A. Caroline chooses every seventh person on the team roster, starting with the second. B. Caroline randomly chooses one of her teammates. C. Caroline chooses the first 5 names on the team roster. D. Caroline chooses everyone on her team. E. Caroline has her teammates count off by 6 and chooses the ones who counted “3.” 2. You are doing research on the students in your class. Which of the following descriptions is an example of systematic sampling? A. You make a list of the students and choose the first 5 names on your list. B. You choose every student whose birthday is in July. C. You choose every student in your class. D. You have the students count off by 5 and choose the students who counted “4.” 3. Think About the Process The houses on a…
11 samples of different sweets are on display as customers leave a store, theyare told that they can choose any 4 samples. How many different selectionscan a customer make?
How many ways are there to select six students from a class of 25 to serveon a committee?
23. The Ice Chalet offers dozens of different beginning ice-skating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.Construct a 92% Confidence Interval for the true proportion of girls in the ages 8 to 12 beginning ice-skating classes at the Ice Chalet.Calculate the following. (Round your answers to two decimal places.) (a) lower limit________________(b) upper limit_______________(c) error bound _______________
4. A school has 600 pupils. The number in each year group is shown below: 7 Year 8 9 10 11 Number of pupils 114 132 120 126 108 Stratified sample A stratified sample of 100 pupils is to be taken, related to how they travel to school. How many pupils from each year group should be tested?
In how many ways can 8 persons be seated around a table with 8 chairs if two individuals wanted to be seated side by side? Answer must be a whole number. Sample Answer: 3880

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