TictokD. Determine the values of the random variables in each of the following distributions.1. Two coins are tossed. Let H be the number of tails that occur. Determine the values of the random variable H.2. A meeting of envoys was attended by 4 Koreans and 2 Filipinos. If three envoys were selected at random one afterthe other, determine the values of the random variable K representing the number of Koreans.3. Solve: Grace Ann wants to determine if the formula below describes a probability distribution. Solve the following:X+2P(X)=Ewhere X 0, 1, 2. If it is, find the following:b. P(X 2 1)a. P(X = 2)C. P(XS 1)

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† 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 ? = 0.78 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is ? = 4.60 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.60 grams? Use ? = 0.05. Compute the z value of the sample test statistic. Round two decimal placesFind (or estimate) the P-value. Round four decimal places
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Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† 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 σ = 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 α = 0.01. Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

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the values of the random variables in each of the following distributions. 1. Two coins are tossed. Let H be the number of tails that occur. Determine the values of the random variable H.