4.The following parts focus on the binomial probability distri-bution.(a)or not. No explanation is required.Determine whether the following experiment is binomialAt a certain intersection, the light is green 55.5% of the time,red 37% of the time, and yellow 7.5% of the time. Sam makes25 independent observations of the traffic light and records thecolor of the light on each occasion.Select One:BinomialNot binomialAssume that X is a binomial random variable with param-(b)eters n and p. Suppose further thatE(X)= 12.21andVar(X) = 9.49938.Find n and p.

4) (a) Not binomial . Reason: The given problem does not satisfies the condition of binomial…

Answered: 4. The following parts focus on 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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The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 31 years of rainfall for California and a sample of 49 years of rainfall for New York has been taken. (a) Show the probability distribution of the sample mean annual rainfall for California. -2.1-14-0.7 0 0.7 1.4 2.1 199 200 21.3 22 22.7 234 24.1 inches inches ^^ inches 39.9 40.6 41.3 42 42.7 434 44.1 @0 10 14 18 22 26 (b) What is the probability that the sample mean is within 1 inch of the population mean for California? (Round your answer to four decimal places.) (c) What is the probability that the sample mean is within 1 inch of the population mean for New York? (Round your answer to four decimal places) (a) In which case, part (b) or part (c), is the probability of obtaining a sample mean within 1 inch of the population mean greater? Why? 30 34 inches
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4. 3. Victoria went to the store and bought 12 pieces of chocolates. She bought 5 pieces of dark chocolate and the rest were milk chocolate. If Victoria randomly picks a piece of chocolate without looking, what is the probability that she will pick a piece of milk chocolate? Write the probability as a percent and round to the nearest percent. Robert Navugs put all of the letters from his name in a bucket. If he randomly chooses a letter from the bucket without looking, what is the probability that he will choose a vowel? Write the probability as a fraction, decimal, and percent.
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Find the Z score associated with each of the following tail probabilities:

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