Question-3 a. A firm employs 10 programmers, 8 systems analysts, 4 computer engineers, and 3 statisticians. A team is to be chosen to handle a new long term project. The team will consist of 3 programmers, 2 systems analysts, 2 computer engineers, and 1 statistician. In how many ways can the team be chosen? b. the effectiveness of irradiated polymers in the removal of benzene from water is being invested. Three polymers are to be studied. Each is to be tested at four different temperatures and three different radiation levels. How many different experimental conditions are under study. مول C

Plant X manufactures 70 percent of a certain company's bicycles, and Plant Y manufactures 30 percent. It has been found that 4 percent of the bicycles manufactured at Plant X and 5 percent of the bicycles manufactured at Plant Y are defective. What percent of the bicycles manufactured by the company are not defective? O 87.2% O 91.3% O 95.5% O 95.7%

Urgent Care is organized in to 4 department: Registration (Reg), Waiting (Wait), Treatment (Treat), and Payment & Check Out (PCO). For all patients who receive treatment at the Urgent Care, the expected time (in minutes) per patient needed in each of the departments: Reg. Wait. Treatment PCO 10 15 30 3 or 2 All patients enter and register at the registration cubicle. After registering, 10% of the patients walk out without waiting and seeing the physician for treatment. However, still they have to walk through the PCO & return the admissions slip. These patients need only 2 min at PCO (instead of 3 min). No waiting and treatment time for patients who walk out. Simulate the total time spent in the Urgent care for the first patient. Total time spent by Patient 1 at the Urgent Care is . RN: 0.05 Hint: Need to check (simulate) whether a patient, after registering( 10 min), walks out or not. O 2 min O 12 min O 10 min O None of these

An assembly line consists of 26 tasks grouped into 7 workstations. The sum of the 26 task times is 153 minutes. The largest assigned cycle time is 24 minutes. The efficiency of this line is O A. 85.00%. O B. 91.07% O C. 52.46% O D. 3.43% O E. 6.38%

A pharmaceutical company is testing the effectiveness of its vaccine across two different age brackets. They take a sample and split the participants up into two separate groups. Group A consists of 44 people who are between ages 13 and 18. Group B consists of 58 people between ages 19 and 26. After being administered the vaccine, it was found that 37 people from group A were immune to the virus and 42 people from group B were immune. What proportion of people from Group A were immune? What proportion of people from Group B were immune? What proportion of people in this study were immune?

A student researcher wants to test the hypothesis that an individual’s sex and education levels affect one’s political views. They examine males and females among three different education levels: high school, undergraduate, and graduate.               Analysis:                                                                      Ho:

YOU are in charge of a new products being launched by "Incredible Circuits". Mr. Eleck Trikal, C.E.O. of the company, has seen the need to calculate the Reliability of his new product after 10, 20, 30, and 50 hours of use. This new product is basically made with four components: A B, C, and D; and its design is included below: BAB As a good manufacturing engineer, you take 10 samples for each component, and test them until failure. The following are the times obtained: COMPONENT A: 8, 9, 18, 28, 35+, 43+, 59+, 65, 75, and 78 (+ means censoring) COMPONENT B: 8, 17+, 22, 29, 35, 39, 49+, 55, 59+, and 78 (+ means censoring) COMPONENT C: 2, 23, 24, 35+, 53, 55, 62+, 66+, 76, and 83 (+ means censoring) COMPONENT D: 3, 18, 24, 35, 38, 49, 58, 59, 66, and 79 (no censoring)

You're a quality engineer at Norman's fouth largest cracker factory. where there are two production lines (A, which produces 20% of cracker boxes, and B which produces the rest). If a line produces more than one defective box in an eight -hour day, a maintenance check on the line is performed.   Line A produces an average of 0.061 box defects PER Hour. Given that you're only looking at a line A, what is the probability that you will need a request a maitenance check.

2) The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the receiving end of a bite, the vaccine can protect them from a dangerous and potentially fatal illness. Furthermore, in most places, the rabies vaccine for dogs is legally required. The NYC Department of Health wants to know if LESS than 95% of the dogs in the city have been vaccinated with their rabies vaccine.  158,045 of the 165,000 dogs examined had their rabies shots.  Risk no more than 5% Type I error.  What is the P^? (round to nearest thousandth)