Conduinty6. It is election day 2024! In a certain small town of population 100 located in downstateIllinois, 55 voters support Joe Biden, and 45 voters support Donald Trump (Oh no, he'srunning again!). On election day, 20 random voters do not vote for various reasons.Let X denote the number of Biden voters among the voters who do not vote.(a) What type of random variable is X? Indicate both the type and the appropriateparameters using the "~" notation. Write down the pmf of X, and do not forgetto indicate the range of values that X can take on.XPx(x)=8

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Answered: Iber of Blden Voters among the voters…

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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Total blood volume (In ml) per body welght (In kg) is Important In medical research. For healthy adults, the red blood cell volume mean is about u = 28 ml/kg.t Red blood cell volume that is too low or too high can Indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 32 26 40 37 31 35 29 Let x be a random varlable that represents Roger's red blood cell volume. Assume that x has a normal distribution and o = 4.75. Do the data Indicate that Roger's red blood cell volume is different (either way) from u = 28 ml/kg? Use a 0.01 level of significance. (a) what is the level of significance? State the null and alternate hypotheses. Will you use a left-talled, nght-taled, or two-talled test? O Ho: H= 28 ml/kg; H: H> 28 ml/kg; right-tailed O Hg: H- 28 ml/kg; H: u = 28 ml/kg; two-taled O Ho: H- 28 m/kg; H: H 23 2$ backspace 1 4. 8 9.
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Diagnostic tests of medical conditions have several results. The rest result can be positive or negative. A positive test (+) indicates the patient has the condition. A negative test (–) indicates the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 130 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for the condition are shown. Condition Present Condition Absent Row Total Test Result + 109 21 130 Test Result – 21 49 70 Column Total 130 70 200 Assume that the sample is representative of the entire population. For a person selected at random, find P(getting test result – and condition absent). Round your answer to the nearest hundredth.
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The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls. Click the icon to view the table. Use the range rule of thumb to identify a range of values that are not significant. The maximum value in this range is girls. (Round to one decimal place as needed.) *** Probability Distribution for x Number of Girls x 0 1 2 3 4 5 6 7 8 9 10 P(x) 0.002 0.012 0.043 0.115 0.203 0.234 0.198 0.115 0.038 0.011 0.029 D - X
Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that the patient has the condition. A negative test (−) indicates that the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 200 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for the condition are shown. Condition Present Condition Absent Row Total Test Result + 108 22 130 Test Result − 20 50 70 Column Total 128 72 200 Assume the sample is representative of the entire population. For a person selected at random, compute the following probabilities. (Enter your answers as fractions.) (a) P(+ | condition present); this is known as the sensitivity of a test.(b) P(− | condition present); this is…
ANSWERS ALL PARTS A,B,C A) Roll a dice, X=the number obtained. Calculate E(X), Var(X). Use two expressions to calculate variance. B) Two fair dice are tossed, and the face on each die is observed. Y=sum of the numbers obtained in 2 rolls of a dice. Calculate E(Y), Var(Y). C) Roll the dice 3 times, Z=sum of the numbers obtained in 3 rolls of a dice. Calculate E(Z), Var(Z) from the result of part a and b.
There are 11 details and 4 of them are standard. Three details are randomly selected. Find the probability distribution of the random variable X, where X is a number of the standard details among 3 selected details. Find the mean and standard deviation of X.
You have a sample of 500 individuals arranged in a 2 x 2 table. Of these, 220 have hypertension and 250 have Covid. there is overlap between covid and hypertension, but this is not given. which is best match for your expected values? 120,130,120.130 115, 135,110,140 110, 140, 110, 140 110,140,120,130

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Iber of Blden Voters among the voters who do not vote. the (a) What type of random variable is X? Indicate both the type and parameters using the "~" notation. Write down the pmf of X, and to indicate the range of values that X can take on. appropriate do not forget