A new test has been developed to determine whether a given s…

A new test has been developed to determine whether a given student is overstressed. It is known that 99.5% of all students are overstressed. This test is 95% correct if the student is not overstressed (i.e. conditional probability of the test indicating the student is not overstressed, when indeed he is not overstressed, is 0.95). This test is 85% correct if the student is in fact overstressed. Given that a particular student tests negative for stress (i.e. test shows that such student is not overstressed), choose the probability that the test results are correct (i.e. this student is indeed not overstressed) from the choices below?

A professor answers each of his students’ questions incorrec…

A professor answers each of his students’ questions incorrectly with probability , independently of the other questions. In each lecture, he is asked 0, 1, or 2 questions with equal probability of . From the choices below, choose the probability that at most he provides one wrong answer.

  A projectile is launched with an initial velocity of 28 m/…

  A projectile is launched with an initial velocity of 28 m/s [52 degrees above horizontal], if the projectile lands on a platform that is 8m above the height that it was launched from, solve for; a) the velocity of the projectile just before it hits the platform.   b) the displacement of the projectile if it sticks to the platform (stays exactly where it lands).

We want to use a single ls command, with appropriate options…

We want to use a single ls command, with appropriate options, in order to list extended information about the files in our current working directory that match the following patterns: One or more zeros: e.g., 0 or 000 or 00000 or 000000 One or more ones: e.g., 1 or 11 or 1111 or 111111 Exactly 4 ones followed by 4 zeroes: i.e., 11110000 but we do not want to match any file like 0110010 or 10100 that feature another alternance of binary digits.