Answer the following problems.1. A basket contains 10 ripe and 4 unripe mangoes. If three mangoes are taken from thebasket one after the other, determine the possible values of the random variable Mrepresenting the number of ripe mangoes.2. Suppose two coins are tossed and we are interested to determine the number of headsthat will come out. Use H to represent a random variable and determine its possiblevalues.3. Consider the probability distribution of the number of grapes given below.G432P(G)1/72/73/71/7Find the following:a. P(G=1)b. P(G=3)c. P(G>2)d. P(G<4)

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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
List all the possible outcomes and determine the values of the random variable in each of the following situations. Use a table for your answers. c.) Three consuls were selected at random one after the other in a meeting of consuls which was attended by 4 Australians and 2 Americans. Let G be number of Australians.
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.)
1. c) southwestern variable. True False The daily fuel consumption by a fleet of buses serving a large city is an example of a discrete random
Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls. Here, we define random variables as B = number of blue balls drawn, G = number of green balls drawn, Y = number of yellow balls drawn. Please list the following values:
Suppose you will perform a test to determine whether there is sufficient evidence
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 = 0.70 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is μ = 4.45 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.45 grams? Use α = 0.05. How to solve for p
please solve d,e,f,g,h,i
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 ? = 0.86 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 ? = 0.10. (a) Compute the z value of the sample test statistic. (Round your answer to two decimal places.) (b) Find (or estimate) the P-value. (Round your answer to four decimal places.)
From the urn of Problem 1, ten balls are selected with replacement. Color Red Blue Green BrownNumber 4 3 2 1◼ 3.1. Estimate the probability that four or less red balls are selected.◼ 3.2. Estimate the probability that more than four blue balls are selected.
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
You currently work for the DARPA, the Defense Advanced Research Projects Agency. You've received reports of some strange things occurring in the small town of Hawkins, Indiana. Let U be a random variable equal to 1 if the citizen has been to the Upside Down and 0 otherwise. Let S be a random variable equal to 1 if a citizen reports being in the presence of a group of misfit kids who claim to be "saving the town" and 0 otherwise The table below shows the joint probability density function for the galactic population Share of Population 0.15 0.32 0.50 0.03 U 0 0 1 1 S 1 0 1 0 Round to 2 decimal places where necessary, unless otherwise stated. Leave your answer in decimals, rather than convert to percentages. A. Evaluate Fu,s (1,0): B. Calculate the share of people who have been to the Upside Down in the population. That is, E(U): C. Calculate the probability of having gone to the Upside Down conditional on meeting this band of misfit kids?. That is, Fus (11):

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