DIRECTION: Answer the following carefully. Show your complete solution.A. Suppose four coins are tossed. Let X be the random variable representing the number of tails that occur. Find thevalues of the random variable X.B. Determine whether the following are DISCRETE or CONTINUOUS random variables.B.1. The time it takes a student selected at random to register for the fall semesterB.2. The number or bad checks drawn on Upright Bank on a day selected at randomB.3. The amount of gasoline needed to drive your car 200 milesB.4. The number of traffic fatalities per year in the state of FloridaB.5. The distance a golf ball travels after being hit with a driverB.6. The number of ships in Pearl Harbor on any given dayB.7. Your weight before breakfast each morningC. Construct the distribution of each problem and check if the correspondence can serve as the probability distributionin a random variable.C.1. A coin is tossed 4. What is the probability of getting:(a) at least one tail?(b) exactly two tails?(c) exactly three tails?(d) at least three tails?C.2. A hat contains 40 marbles, 16 of which are red and 24 are green. If one marble is randomly selected out ofthis hat, what is the probability that this marble is:(a) red?(b) green?C.3. Four coins are tossed. Let Y be the random variable that represent the number of tails that will occur. Findthe values of random variable Y.

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Answered: A. Suppose four coins are tossed. Let X…

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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A. Suppose four coins are tossed. Let X be the random variable representing the number of tails that occur. Find the values of the random variable X.