unction. The probability of malfunction on any given day is 0.40. Machine unctions on different days are mutually independent. Calculate the probability that the hine has its third malfunction on the fifth day, given that the machine has not had e malfunctions in the first three days.
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- Industrial Robots are programmed to operate through microprocessors. The probability that one such computerized robot breaks down during any one 8-hour shift is 0.2. Find the probability that the robot will operate for at most five shifts before breaking down twice.Find values of n, x, p and q. DO NOT SOLVE based on American Chemicsl Society, there is a 0.9 probability that in the United States, a randomly selected dollar bill is tainted with traces of cocaine. Assume 8 dollar bills are randomly selected. Find the probability that at least 5 of them have traces of cocaineSusie has three children. Josh has a z-score of 0.87 for his height and David has a z-score of 0.13 for his height. Solve for the probability the Kelley will have a height between her brothers. Positive z-scores: Z 0.0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.0 0.5000 0.5040 0 5080 0 5120 0.5160 0.5199 0.5239 0.5279 0.1 0.5398 0.5438 0.5478 05517 0.5557 0.5596 0.5636 0.5675 0.2 0.5793 0.5832 0.5871 0 5910 0.5948 0.5987 0.6026 0.6064 03 06179 0 6217 0.6255 0. 6293 0.6331 0.6368 0.6406 0. 6443 0.4 0 6554 0.6591 0.6628 0.6664 0.6700 0 6736 0.6772 0.6808 0.5 0.6915 0.695o 0.6985 07019 0.70540.7088 0.7123 07157 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 DELL %24 & 23 8) 4 7 の 10
- A student in this class is writing two midterms in math this week. The probability that she will pass MAT 2371 is 0.7, and the probability that she will pass MAT 2125 is 0.7. If the result on the two exams are independent, what is the probability that she will fail at least one the two exams? 0.56 0.44 0.54 0.46 0.51Assume that when an adult is randomly selected, the probability that they do not require vision correction is 18%. If 7 adults are randomly selected, find the probability that exactly 2 of them do not require a vision correction. if adults are randomly selected the probability that exactly 2 of them do not require a vision correction is _________. (ROUND TO THREE DECIMAL PLACES AS NEEDED)A printing machine can print any one of n letters L₁, L2,..........Ln. It operated by electrical impulses, each letter being produced by a different impulse. Assume that there is a constant probability p that any impulse prints the letter it is meant to print. Also assume independence. One of the impulses is chosen at random and fed into the machine twice. Both times, the letter L₁ was printed. Find the probability that the impulse chosen was meant to print the letter L₁.
- On any given day, a certain machine has either no malfunctions or exactly one malfunction. The probability of malfunction on any given day is 0.40. Machine malfunctions on different days are mutually independent. Calculate the probability that the machine has its third malfunction on the fifth day, given that the machine has not had three malfunctions in the first three days.A local company has two identical lathe machines which are operated independently. A log is kept for each of the two machines and Table QII below shows the number of times that each machine has been operational in the last twelve months. Lathe Status Number of times working Number of times not working A B 780 650 220 350 Table QII Draw the probability tree diagram and solve following questions Q1 If two machines are dependent what is the probability of either lathe working at the visit of supervisor? Q2 What is the probability that only one lathe would broke down? Q3 What is the probability that at least one lathe would have broken down ?Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.
- Please provide steps for how you got the solution to the problem provided below. A machine is used to produce one of each of two types of product (A and B) on alternating days, i.e., if A is produced today then B will be produced tomorrow and vice versa. Each day, there is a probability that the machine malfunctions. Malfunction probability after a day of operation is 0.03 when producing A and 0.07 when producing B. Once the machine malfunctions, it is no longer operable and will not be replaced until sometime in the future (beyond modeling horizon). Model the system as a Markov chain (give transition matrix on your paper). Suppose that on Monday product A was produced. Find the probability that the machine is still operable by the morning of Thursday. Your model should have a state ”malfunction”, which cannot transition to any other state other than itself.I roll a fair die repeatedly. Find the expected number of rolls till I see a face that has at least as many spots as the face that appeared on the first rollThe probability that a randomly selected student from a college is a senior is .20, and the joint probability that the student is a computer science major and a senior is .03. Find the condi- tional probability that a student selected at random is a computer science major given that the student is a senior.