6.50Binomial needs fixed nFor the binomial distribution,the number of trials n is a fixed number. Let X denote thenumber of girls in a randomly selected family in Canadathat has three children. Let Y denote the number of girls ina randomly selected family in Canada (that is, the numberof children could be any number). A binomial distributionapproximates well the probability distribution for one of Xand Y, but not for the other.tala. Explain why.b. Identify the case for which the binomial applies andidentify n and p.

From the given information,For binomial distribution, the number of trials n are always constant or…

Answered: 6.50 Binomial needs fixed n For the…

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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(Jeff Bezos), Bill Gates (BG) 66 Elon Musk (EM) 50 Jeff Bezos (JB) 57 Mark Zackenberg (MZ) 37 Warren Buffet (WB) 91 1. Assuming that 2 of the ages are randomly selected with replacement, list the 25 possible samples 2. Find the mean of each of the 25 samples, then summarizing the sampling distribution of the means in the format of a table representing the probability distribution. 3. Compare the population mean to the mean of the sample means. 4. Do the sample means target the value of the population mean? In general, do sample means make good estimators of population means? 9
-4 2 pl 2 3 | 4 1 Let Xbe a random variable with the following probability distribution. 9. Find the mean of the discrete random variable X. C. -0.03 A. -0.02 B. -0.20 D. -0.30 10. What is a? A. 3.94 C. 3.96 B. 3.95 D. 3.97
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A variable y of a finite population has the frequency distribution shown in the table. Suppose a member is selected at random from the population and let Y denote the value of the variable y for the member obtained. Complete parts (a) through (d) below. y 4 5 6 7 1 1 13 5 a. Determine the probability distribution of the random variable Y. 4 6. 7 y P(Y = y) (Type integers or decimals. Do not round.) b. Use random-variable notation to describe the events that Y takes on the value 6, a value less than 6, and a value of at least 6. The event that Y takes on the value 6 can be represented as The event that Y takes on a value less than 6 can be represented as The event that Y takes on a value of at least 6 can be represented as c. Find P(Y = 6), P(Y 6). P(Y = 6) = (Type an integer or a decimal. Do not round.) P(Y<6) = (Type an integer or a decimal. Do not round.) P(Y 2 6) = (Type an integer or a decimal. Do not round.)
6.50 Binomial needs fixed n For the binomial distribution, the number of trials n is a fixed number. Let X denote the number of girls in a randomly selected family in Canada that has three children. Let Y denote the number of girls in a randomly selected family in Canada (that is, the number of children could be any number). A binomial distribution approximates well the probability distribution for one of X and Y, but not for the other. a. Explain why b. Identify the case for which the binomial applies and identify n andp. m vori
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Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).t Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and o = 0.96 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is µ = 4.80 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.80 grams? Use a = 0.10. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right- tailed, or two-tailed test? O Ho: H 4.8 g; right-tailed O Ho: H = 4.8 g; H1: µ < 4.8 g; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of…
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5. pg 359 Baby elk and their chances Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is correct. Suppose researchers choose 7 baby elk at random to monitor. Let X = the number who survive to adulthood. The probability distribution of X is shown here. Find the probability that fewer than 3 of the elk survive to adulthood. 0 1 2 3 4 5 6 7 Probability 0.0173 0.0950 0.2239 0.2932 0.2304 0.1086 0.0284 0.0032 Value
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A2 The sample space of an experiment is S={0,1,2.5,6}. All sample space elements have equal probability of occurrence. A random variable is defined as X=S+1. The mean value of random variable X is? A- 4.75 B- 2.5 C- 1.25 D- 3.38

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