1. You and your friend are two of 10 students eligible to be selected to go to the BETAcompetition. Your school is going to select 2 students at random. What is the probabilitythat you and your friend will be selected?Note: You can use the online calculators to help you solve this problem.a. What is the total number of outcomes possible in the sample space?Show your work here:()= 10C210121(10-2)!= 101 =452!8!b. How many ways can you and your friend be chosen?c. What is the probability that you and your friend are chosen?P (you and friend) =

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Answered: 1. You and your friend are two of 10…

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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disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 223 numerical entries from the file and r = 48 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1.(i) Test the claim that p is less than 0.301. Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p < 0.301; H1: p = 0.301H0: p = 0.301; H1: p > 0.301 H0: p = 0.301; H1: p < 0.301H0: p = 0.301; H1: p ≠ 0.301 (b) What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal, since np < 5 and nq <…
Ecologists conducted a study to investigate the potential ecological impact of golf courses. Investigators monitored the reproductive success of bluebirds in birdhouses at nine golf courses and ten similar birdhouses at nongolf sites. Data on nests in birdhouses occupied only by bluebirds are shown in the table. If the proportions of nests occupied is the same for golf and nongolf sites, what would be the expected count of birdhouse with 1 nest in nongolf locations? O nests 1 nest Total 2 or 3 nests Golf 30 42 8 80 Nongolf 40 58 22 120 Total 70 100 30 200 50 b 42 60 d. 58 e 40 O O O O O
You intend to conduct an ANOVA with 31 subjects, which will be divided into 3 treatment groups. (Because it will be impossible to have equal sized groups, this is referred to as an "unbalanced" single-factor ANOVA.) What are the degrees of freedom for the numerator? d.f.(treatment) = What are the degrees of freedom for the denominator? d.f.(error) =
One of the basketball coaches chose 45 players for the purpose of knowing their speed on running and scoring on the net, for the purpose of creating a good team, and he evaluated the results of each player in terms of running and scoring by putting the word "good or not good". Good 7 players have good running speed but net scoring is not good 8 players have not good running speed but net scoring is good 10 players have bad running speed and net scoring is not good Test at 5% importance level What is the running speed and scoring on the net network independent
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:
A game is played by throwing 3 dice. You will win in this game if the summation of the score of these 3 dice is 3, 4, 17, 18. What is the variance of your expected values?
Q3 i): A survey of 500 randomly chosenindividualsis conducted. The individuals are askedto nametheir faxorite sport. The STATISTIX pie chart inthe following figure summarizesthe results of this survey Other (5.0%)- Hockey (10.0%)- -Baseball (30.0%) Golf (10.0%)- Footbal (25.0%)- -Basketbal (20.0%) Fig. 2-11 STATISTIX pie chart La) How many individuals inthe 500 gave baseball astheirfavorite sport? (b) How mary gave a sport other than basketball as their favorite sport? L) How many gave hockey or golf astheir favorite sport? ii) Thefollowing table gives the frequency distribution for the cholesterol values of 45 patients ina cardiacrehabilitation study. Givethe IgweLandupper class limits and boundaries as well asthe class marks for each class Chalastarol vala Fraquancy 170 to 189 190 to 209 10 210 to 229 17 230 to 249 13 250 to 269
You are to submit 2 real life examples of statistical statements and state if they are biased or unbiased Example: A toothpaste advertisement states that 3 or 4 people prefer their product. This could be a biased survey, one that is not based on a random sample. They could have asked exactly 4 people about their product. An unbiased sample accurately represents the population. Each member of the population is equally to be chosen Example: A person wants to find out how many people prefer chocolate of vanilla ice cream. To get an unbiased sample, she would pick out a few of the ice cream shops in her town and survey people leaving the establishment.
A machine uses electrical switches that are known to have a 3% fail rate for each use. The machine uses three switches, and each switch is independent. (a) How many outcomes are there in the sample space? 8 (b) Let x = the number of failed switches in one run of the machine. How many possible values of x are there? 4 (c) What is the probability of exactly one switch failing in one run of the machine?. 0.0847 X There is more than one way for one switch to fail in one run of the machine. (d) If the probability of no switches failing is 0.912673 and the probability of all switches failing is 0.000027, then complete the probability distribution table for x. X p(x) 0.912673 0 Need Help? Read It 0.084681 1 ✓ 0.002619 2 0.000027 3
You intend to conduct an ANOVA with 35 subjects, which will be divided into 3 treatment groups. (Because it will be impossible to have equal sized groups, this is referred to as an "unbalanced" single-factor ANOVA.)What are the degrees of freedom for the numerator?d.f.(treatment) = What are the degrees of freedom for the denominator?d.f.(error) =
If there are 65 successes of 150 trials in the one group, and 115 successes of 200 in another, test if the groups significantly different? Use ? = 0.05.

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