Three times each day, a quality engineer samples a component from a recently manufactured batch and tests it. Each part s classified as conforming (suitable for its intended use), downgraded (unsuitable for the intended purpose but usable for another purpose), or scrap (not usable). An experiment consists of recording the categories of the three parts tested in a particular day. Let A be the event that all the parts fall into the same category, let B be the event that there is one part in each category, and let C be the event that at least two parts are conforming.

Hershey Kiss Weight in Oz. Zach ,a Quality Process Engineer for Hershey Chocolates, pulled 16 random kisses from production and recorded their weights as shown.Zach uses the production number for each kiss in production to ensure that all of the kisses in production have an equal chance of being selected in his random number generator. .1618 .1607 .1613 .1607 .1610 .1611 .1609 .1597 .1586 .1604 .1607 .1606 .1611 .1620 .1610 .1609

In an automated filling operation, when the process is run at slow speed, the probability of an incorrect fill is 0.001. When the process is run at high speed, the probability of an incorrect fill is 0.01. The process is run at high speed 30% of the time, and at low speed 70% of the time. If an incorrectly filled container is found, what is the probability that it was filled during high speed operation?

A student was interested in investigating whether female or male students at her school tend to have quicker reaction times. The students in her study played an online game that measured reaction time by how quickly you press stop after an orange sign appears. The timing of the appearance of the orange signs is random. The reaction times (in seconds) for the male and female students at her school that volunteered to take part in the study are displayed in the boxplots below. ☐ Males o Females 0.28 0.3 0.32 0.34 0.36 0.38 0.4 0.42 0.44 0.46 0.48 Reaction Time (seconds) Based on the boxplots, which of the following statements must be true? (A) At least 75% of the female reaction times are greater than the maximum reaction time for the males. (B) If the highest reaction time for the males was removed, the distribution of male times would be approximately normally distributed. (C) There is more variability in the highest 25% of reaction times for the female students than in the highest 25%…

According to psychological theory, each negative emotion one has is linked to some thought (appraisal) about the environment. This theory was tested in the journal Cognition and Emotion (Vol. 24, 2010). Over a period of two days, undergraduate students were asked to respond to events that occurred within the past 15 minutes. Each student rated the negative emotions he or she felt (e.g., anger, sadness, fear, or guilt) and gave an appraisal of the event (e.g., unpleasant or unfair). A total of 10,800 responses was evaluated in the study, of which 600 indicated a perceived unfairness appraisal. Of these unfairness appraisals, the students reported feeling angry in 150 of them. Consider a response randomly selected from the study. What is the probability that the response indicates a perceived unfairness appraisal? Given a perceived unfairness appraisal, what is the probability of an angry emotion?

The lifetime of a light bulb is normally distributed with an average life of 500 hours and a standard deviation of 100 hours.  If a company installs 5000 of these light bulbs, find the number of bulbs that can be expected to last between 500 hours and 675 hours.

In an experiment to study the relationship of hypertension and smoking habits, the following data are collected for 180 individuals. Among those who experience hypertension, 21 were non-smokers, 36 were moderate smokers, while 30 were heavy smokers. Among those who do not experience hypertension, 48 were non-smokers, 26 were moderate smokers, and 19 were heavy smokers. If one of these individuals were selected at random, find the probability that the person is experiencing hypertension, given that the person is a heavy smoker? A. 31/49 B. 32/49 C. 37/49 D. 30/49

A statistician wishing to test a hypothesis that students score at least 75% on the final exam in an introductory statistics course decides to randomly select 20 students in the class and have them take the exam early. The average score of the students on the exam is 78%. The hypothesis the statistician wants to test is:   a. H0:  = 75 vs. Ha:  > 78.   b. H0:  = 75 vs. Ha:  > 75.   c. H0:  = 75 vs. Ha:  = 78.   d. H0:  = 75 vs. Ha:  < 75

The effect of cloud seeding on suppression of damaging hail is being studied in your area by randomly seeding or not seeding equal numbers of candidate storms. Suppose the probability of damaging hail from a seeded storm is 0.10, and the probability of damaging hail from an unseeded storm is 0.40. If one of the candidate storms has just produced damaging hail, what is the probability that it was seeded

Your company uses a pre employment of the test to screen applicants for the job of repairman.the test is passed by 60%of the applicants.Among those who pass the test 80% complete training successfully. In an experiment,a random sample of applicant who do not pass the test is also employed. Training is successfully completed by only 50%of this group.if no pre Employment test is used,what percentage of applicants would you expect to complete training successfully?