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Question: problem 3312 each morning joe makes a decision about how...

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Problem (3.3.12) Each morning Joe makes a decision about how he gets from his apartment to the university for class. He chooses at random, and half the time he takes the bus, forty percent of the time he walks, and ten percent of the time he takes his bike. If he takes a bus, then he is on time for class with probability .7, and with probability .3 he is late If he walks then he is on time for class with probability .6, and with probability .4 he is late. Finally, if he takes his bike, then he is on time for class with probability .5, and with probability .5 he is late. On a random day, find the probability that Joe is late for class. stunch stuge2 outromes probability
Problem (3.3.18) Find all the missing probabilities on the tree diagram. Probability 3 Begin 2千? 3
oblem (3.4.12) thee +h There are 4 Texas quarters and 2 Indiana quarters in a drawer. Charlie selects a quarter at random and, without/looking at it hand(it to Maggie Charlie then elects another i quarter at random, and he sees that it is a Texas quarter. What is the probability that the quarter he handed to Maggie was also a Texas quarter?tob
roblem (3.4.18) Students at GSU are being tested for infection of the East Thames virus, and it is estimated that .5 percent of the students are infected. If a student is infected, the test is positive 99 percent of the time, and if a student is not infected, then the test is negative 98 percent of the time. If the test is applied to a student whose infection status is unknown, and if the test results are negative, find the probability that the student actually has the East Thames virus.
Problem (3.5.4) For Bernoulli trials compute the following probabilities. (a) 3 success in 6 trials with q .5. ( (b)) failures in 5 trials with q = .7.
Problem (3.5.12) Homer has studied for his mathematics exam, and he believes that if he has to guess at a question, then he will be twice as likely to select the correct answer as to select an incorrect answer. Suppose that he guesses on 5 questions, and each guess is in dependent (a) Find the probability that he answers exactly 2 correctly. (b) Find the probability that he answers at least 3 correctly
CHAPTER 4SECTION 1 Problem (4.1.2) A fair coin is flipped 3 times, and a random variable X is defined to be 3 times the iber of heads minus 2 times the number of tails. Find the density function of X
Problem (4.1.16) In a box containing 12 hand calculators, 9 work and 3 do not work. A sample of 5 is selected at random from the box. A random variable is defined which igns to each outcome the number of calculators which do not work. Find the values assumed by this random variable and its density function
Problem (4.2.6) A random variable X has the density function shown below. Find the missing entries in the table and the expected value of X. Value of X Probability Product .2 10
Problem (4.2.10) Suppose X is a random variable which takes values 1, 2, and 5. If Prx 2 3, and ElX] = 2.9, find Pr(X = 51.
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