Mr. A is taking driving test to get his driving license. The probability of passing a test is 0.3 independent of how many times he takes the test. a. What is the probability that he would get his license on his second test? b. What is the probability that it takes him more than 2 tests to get the license? c. If one person can only take 6 driving tests within six months, what is the probability that he will get his driver's license within six months? d. Bonus point: Use conditional probability rule to determine his chance of getting the license on the 6th test starting from his first attempt considering it is known that he has already failed on the first 4 tests. e. Though one can take the driving test 6 times within a six-month period, he/she can take tests until getting licensed. How many tests is Mr. A expected to take to get the license? What is the standard deviation of the number of tests he takes to get licensed?
