altiple Choice Bonus Qunegative binomial random variable with r = 10 and p= 0.1.5.ion: 2 points Assume that X is a-3X +6Compute VarSelect the correct multiple choice answer below. No work will be gradedin this problem.(a) -1350(b) –1347(c) 225(d) 2025(e) 2028

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Answered: 5. Assume that X is a negative binomial…

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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K Suppose that a random sample of 100 men between the ages of 25 and 54 was selected and it was found that 85 were currently working. A similar sample of 100 women was selected and 70 were working. Complete parts a and b below.
In a large population, 55% of the people have been vaccinated. If 5 people are randomly vaccinated what is the probablility that at least one of them has been vaccinated?
Suppose that in a year of 365 days, it rains on 62 days. There is lightning on 13 days. There is both lightning and rain on 12 days. Compare the chance that a rainy day has lightning to the chance that a day with lightning has rain. Show your work here P(lightning | rain) = P(rain | lightning)
8 For this problem, assume there are 3 grey females, 4 grey males, 2 white females, and 3 white males. As in the book, the biologist selects two mice randomly. (1) What is the probability of selecting two males given that both are grey? (2) What is the probability of selecting 1 mouse of each gender given that both are grey?
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.
2. Let x be a binomial random variable with n=20 and p=.3. Which of the following gives p(x = 13)? • (a) Use binomial table for n=20, p=0.3, and k = 13 • (b) Use binomial table for n=20, p=0.3, and k = 12 • (c) Subtract (b) from (a), i.e. p(x= 13) = p(x ≤ 13) – p(x ≤ 12) PLEASE SHOW ME HOW TO DO IT SO I CAN LEARN IT?
I need help with d and e
The more people with COVID, the more staff you need in the ER. Let’s say approximately 5% percent of patients are coming in COVID positive. Assume that the ER will see 145 people today. Use =BINOMDIST() to determine binomial probabilities that the health department will see no one with COVID today, 1 woman with COVID, 2 women with COVID and so on, up to 21 women with COVID.
explain to me how to solve this
4 Suppose that Alejandro is planting a garden of tulips. Let X be the Bernoulli random variable that returns 1 if the tulip is red, and 0 otherwise. Suppose Y is another Bernoulli random variable, independent of X, that returns 1 if the tulip survives longer than 30 days, and 0 otherwise. Both X and Y have parameters 1/2. Let Z be the random variable that returns the remainder of the division of X +Y by 2. For example, if X = 1 and Y = 0, Z = remainder() = 1 (a) Prove that Z is also a Bernoulli random variable, also with parameter 1/2. (b) Prove that X, Y, Z are pairwise independent but not mutually independent. (c) By computing Var[X+Y+Z] according to the alternative formula for variance and using the variance of Bernoulli r.v.'s, verify that Var[X+Y+Z] = Var[X]+Var[Y] +Var[Z] %3D (observe that this also follows from the proposition on slide 5 of the lecture segment entitled "Binomial distribution").
02. [14] A grocery store has 14 jars of a particular brand of strawberry jam in stock. Four (4) of these jars have broken seals which cannot be seen by visual inspection. Let the random variable X represent the number of jars in a sample of size n with broken seals. If six jars are r=4n=6 selected at random: N=14 r =

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5. Assume that X is a negative binomial random variable with r = 10 and p= 0.1. Compute Var ( ) -3X+6 Select the correct multiple choice answer below. No work will be graded in this problem. (a) -1350 (b) -1347 (с) 225 (d) 2025 (e) 2028