4. Suppose a computer program has an error in it. To locate the error, investigators conduct...
Suppose that bugs are present in 1% of all computer programs. A computer de-bugging program detects an actual bug with probability 0.99, but falsely detects a nonexistent bug with probability .02. Give numerical answers to each of the following questions: (i) If the de-bugging program claims to have found a bug in program A, what is the probability that the bug is actually present? (ii) Suppose that Program A is tested twice, the two tests conducted independently. If the de-bugging...
Suppose we have a computer program that attempts to answer a yes or no question for us. The probability that the program will return the correct response 0.6. Suppose we run the program 15 times. Let X be the total number of times that the program returns the correct answer. What kind of random variable is X? What is the pmf? What is the mean and standard deviation? What is the probability that the computer returns the right answer exactly...
1. Suppose you are going to conduct a two tail test concerning the population mean. Suppose that you do not know what the population standard deviation is and that you have a sample of 55 observations. If you are going to conduct this test at the .01 level of significance what is the critical value? Be sure to enter a positive number and answer to four decimal places. 2.The p-value is? Group of answer choices: the probability of a Type...
Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering a question chosen at random from a universe of possible questions. (A strong student has a higher p than a weak student.) The correctness of answers to different questions are independent. Jodi is a good student for whom p = 0.83. (a) Use the Normal approximation to find the probability that Jodi scores 76% or lower on a 100-question test. (Round...
4. Suppose that 75% of the students in a large class know how to answer a particular test question correctly. You take a random sample of n = 5 student exams from the class. (a) What is the probability that none of the 5 students answered the test question correctly? (b) If the instructor gives no partial credit. 4 points for a correct answer and 0 points for an incorrect answer, i. What are the mean and standard deviation of...
Suppose an x distribution has mean μ = 4. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81. (a) What is the value of the mean of each of the two x distributions? For n = 49, μ x = For n = 81, μ x = Suppose the heights of 18-year-old men are approximately normally distributed, with mean 70 inches and standard...
3. (a) A fair dice is tossed 6 times. Suppose A is the event that the number of occurrences of an even digit equals the number of occurrences of an odd digit, while B is the event that at most three odd digits will occur i. Determine with reason if the events A and B are mutually exclusive. ii. Determine the probabilities of the events A and B. Are the events A and B independent? b) Suppose a fair coin...
Suppose a population has a standard deviation of 6. You draw a random sample of size 97 and test the null hypothesis that the population mean is 95. If the true population mean is 97, what is the probability of making a Type 2 error? How large a sample size would you need to have power of 80% in a one-sided test?
suppose that a four-sided die has faces marked 1,2,3 and 4. Toss the die once. let X be the outcome of the random process. a)what the probability distribution for X b)find the expected value of X c)find the standard deviation of X
Please solve and explain steps suppose 82% o all students aking a beginning p oaramming course fail to get her first program to run on firs subr his on. Con from the other and the chance each student fails on their first try is consistent. (Round answers to three decimal places.) er a group of such student nere e c students succes independent (a) If X is the number of students whose program fails on the first run, then X...