Approximately 10% of all peoplea) State the random variable.are left-handed. Consider 12 randomly selected people. g) at most 4 are left-handed.h) at least 8 are left-handed.i) Is 8 an unusually high number of people that are left-handed in a sample of 12 peoplYes, because P(X <= 8) <= 0.05 ✓Select an answerQuYes, because P(X= 8) da 0.05Yes, because P(X<= 8) <= 0.05Yes because P(X >= 8) <= 0.05Yes, because P(X= 8 > 0.05Yes, because P(X <=8) > 0.05Yes, because P(X >= 8) > 0.05No, because P(X = 8) <= 0.05No, because P(X <= 8)<= 0.05No, because P(X >= 8) <= 0.05No, because P(X=8) > 0.05No, because P(X <= 8 )> 0.05No, because P(X >= 8) > 0.05eo 2 Video 3 Message instructor

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Answered: g) at most 4 are left-handed. h) at…

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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Suppose you sample one value from a uniform distribution with a = 0 and b = 20. a) What is the probability that the value will be between 13 and 19? b) What is the probability that the value will be between 4 and 9? c) What is the mean? d) What is the standard deviation?
11) In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 69 out of a random sample of 84 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use ? = 0.05. a) What is the level of significance? State the null and alternate hypotheses. H0: p = 0.75; H1: p < 0.75H0: p < 0.75; H1: p = 0.75 H0: p ≠ 0.75; H1: p = 0.75H0: p = 0.75; H1: p ≠ 0.75H0: p = 0.75; H1: p > 0.75 b) What sampling distribution will you use? The Student's t, since np < 5 and nq < 5.The standard normal, since np > 5 and nq > 5. The standard normal, since np < 5 and nq < 5.The Student's t, since np > 5 and nq > 5. what is the sample test statistic, round answer to two decimal places? c) find the P-value of test statistic, round answer to four…
6) As part of a project, you and a group poll 400 students about lunches. 54% of the respondents replied that they preferred pizza. What is the likely interval of students at Hillgrove who prefer pizza?
8 - ))In an exam attended by 400 people, the average of the grades is 45 and the standard deviation is 5.7, showing a normal distribution. 50 samples of n=16 people were taken from this population to the returned lottery. Find the arithmetic mean and standard error of the distribution of the sample meansA) 41 and 1.5 B) 43 and 1,425 C) 45 and 2,425 D) 45 and 1,425 E) 55 and 1,425
according to a recent poll, 95% of millenials (people born between 1981 and 1995) have a profile on a social networking site. Let X = the number of millenials you ask until you find a person without a profile on a social networking site. A) Find the mean and standard deviation of X. B)What is the probability that you must ask ten people to find one person without a social networking site? C) What is the probability that you must ask 20 people to find one person without a social networking site? D) What is the probability that you must ask at most five people?
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2) A machine that fills boxes of cereal underfills a certain proportion p. If 25 boxes are randomly selected from the output of this machine. Find the probabilitythat no more than two are underfilled when a) p = 0.1 b) p = 0.2
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
3. A company produces boxes of candy that contain a mean of 50 candies each. The standard deviation is 2. Quality control will reject any box with fewer than 48 candies. a) What is the probability that a box selected at random contains exactly 51 pieces? b) What proportion of the boxes will quality control reject as containing too few candies? c) The company produces 135 000 boxes of candy a day. How many of these boxes will have at least 48 candies but no more than 53?
Watch Corporation of Switzerland claims that its watches on averagewill neither gain nor lose time during a week. A sample of 18 watchesprovided the following gains (+) or losses (-) in seconds per week. -0.38 -0.20 -0.38 -0.32 +0.32 -0.23 +0.30 +0.25 -0.10 -0.37 -0.61 -0.48 -0.47 -0.64 -0.04 -0.20 -0.68 +0.05 Is it reasonable to conclude that the mean gain or loss in time for thewatches is 0? Use the .10 significance level. Estimate the p-value.

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g) at most 4 are left-handed. h) at least 8 are left-handed. i) Is 8 an unusually high number of people that are left-handed in a sample of 12 peopl Yes, because P(X <= 8) <= 0.05