The problem of traffic delay in a highway can be studied in the following way. Let us assume that the probability of no traffic delay in one period, given no traffic delay in previous period, is 0.85 and that the probability of finding a traffic delay in one period, given a delay in the previous period is 0.75. The period of time is 30 minutes.

You are the manager of a manufacturing plant and you are responsible for quality control. Each day, a random sample of 10 items is selected from the production line and tested by a quality control technician. A item can be in good condition or defective, and the probability that an item is defective is 0.05. You know by experience that the technician records the result of the test on an item correctly 80% of the time. Let X be the number of items that were recorded as defective by the technician (in the sample of 10 tested items). (a) Find the probability P(X= 1). (b) If the technician recorded one defective item in the sample, what is the conditional probability that there was no defective item in the sample?

Find the probability of an event E if the odds for E is equal to the odds against

It is known from past eperience that the probability that a person has cancer is 0.15 and the probability that a person has heart disease is 0.2. If we assume that incidence of cancer and heart disease are independent, find the probability that a person has exactly one ailment.

To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3,400, and the commission for each new account opened is $4,900. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account.   Determine the equation for computing Gustin's profit per seminar, given static values of the relevant parameters.   Profit =(New accounts opened x _______)-_________   Construct a simulation model to analyze the profitability of Gustin's seminars. Would you recommend that Gustin continue running the seminars? (Use at least 1,000 trials. Round your answer to two decimal places.)   What is the minimum number of attendees (in a multiple of five, i.e., 25, 30, 35, …) that Gustin needs before a seminar's average profit is greater than zero? =______ attendees

The​ (hypothetical) table below shows the relationship between the number of hours students work at​ part-time jobs each week and the number of years it takes then to graduate with an undergraduate degree. If a student works more than 5 hours per​ week, what is the probability that the student graduates in over 6​ years?

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Kelly realized that 4% of his students' exams have academic integrity issues.  He plans to go through the exams at random to find one with academic integrity issues.  Let X be the number of exams Kelly selects until he finds one with academic integrity issues.   a) Find the probability that the 18 th exam Kelly selects will be the first with academic integrity issues. State your answer as a percentage rounded your answer to 2 decimal places. b) What is the probability of finding an exam with academic integrity issues within the first 5 exams? Round your answer to 3 decimal places.

Stress at work: In a poll conducted by the General Social Survey, 80% of respondents said that thelr tobs were sometimes or always stressful. Two hundred workers are chosen at random. Use the TI-84 Plus calculator as needed. Round your answer to at least four decimal places. (a) Approximate the probability that 165 or fewer workers find their jobs stressful. (b) Approximate the probability that more than 150 workers find their jobs stressful. (c) Approximate the probability that the number of workers who find their jobs stressful is between 153 and 160 Inclusive. Part 1 of 3 The probability that 165 or fewer workers find their jobs stressful is Part 2 of 3 The probability that more than 150 workers find their jobs stressful is

The probability of afternoon rain given morning cloud cover >50% is of interest to those forecasting the weather. You can calculate this probability using Bayes' Theorem (below). The probability of morning cloud cover in general is 30% in the area you are concerned with and when there's afternoon rain, morning cloud cover of the kind described above occurs 90% of the time. The probability of rain in general for the area is about 26% of days. From the above information, identify what P(BIA) would be. Express your answer as a proportion, rounded to two decimal places. P(A/B)= = P(B|A)*P(A) P(B)