If the percentage of sulfate-resistant concrete pieces in one of the factories is 25%, how many pieces are required to be withdrawn so that the probability of having at least one piece resistant to sulfate is 90%?
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If the percentage of sulfate-resistant concrete pieces in one of the factories is 25%, how many pieces are required to be withdrawn so that the probability of having at least one piece resistant to sulfate is 90%?
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- Males of a specific bird breed leave their nesting territory for gathering food. The females will have to start looking for new partners if the their existing partners do not return in one week. If the time elapsed until the return of existing partners has a mean of 3.5 days, what percentage of females will be forced to look for new partners?XYZ Computer Manufacturing Enterprise wishes to improve the quality of its laptops by reducing the disk drive and keyboard failures. At present, the disk-drive failures occur only one-third as often as keyboard failures. The probability of simultaneous disk drive and keyboard failure is 0.01. If the target quality passing rate is 90 percent (neither disk drive nor keyboard is failed), the probability of disk-drive failure probability must be as low as Select one: a. 0.0125 b. 0.01 c. 0.0275 d. 0.325In a M/M/1 model, the average number of customers in the system is 15. Then, the probability that the system is empty is
- A physical therapist claims that 75% of people lose their balance if they close their eyes while standing on one foot. A gymnast feels that the rate is less than 75%. To test this, she randomly selects 100 people and finds that 80 of them lose their balance while standing on one foot. To determine if these data provide convincing evidence that the proportion of people who lose their balance while standing on one foot and closing their eyes is less than 75%, 150 trials of a simulation are conducted. The gymnast is testing the hypotheses: H0: p = 75% and Ha: p < 75%, where p = the true proportion of people who will lose their balance while standing on one foot and closing their eyes. Based on the results of the simulation, what is the estimate of the P-value of the test? A) 0.1133 B) 0.17 C) 0.887 D) 0.92An examination consists of two papers , Paper 1 and Paper 2 . The probability of failing in Paper 1 is 0.3 and that in Paper 2 is 0.2 . Given that a student has failed in Paper 2 , the probability of failing in Paper 1 is 0.6 . Then the probability of a student failing in both the papers is equal toAn IT company employs two sales engineers. Engineer 1 does the work of estimating cost for70% of jobs bid by the company. Engineer 2 does the work for 30% of jobs bid by the company.It is known that the error rate for engineer 1 is such that 0.02 is the probability of an error whenhe does the work, whereas the probability of an error in the work of engineer 2 is 0.04. Supposea bid arrives and a serious error occurs in estimating cost. Which engineer would you guess didthe work? Explain and show all work.
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- Professor Brown gives her students a maximum of three attempts to pass a final examination in her statistics course. She has found that the probability of passing on the first attempt is 0.40, the probability of passing the second attempt is 0.65 and the probability of not passing the third attempt is 0.15. Find the probability that a randomly selected student of hers will pass the final examinationQUESTION 3It has been established that soccer ace Fernandes chances of scoring a penalty is 70 percent all thetime. However, he is a streak shooter, and if he scores on one shot, his probability of scoring it on thepenalty shot immediately following is 0.85. But it has also been pointed out that another soccer starZlatan chances of scoring a goal in any game is 65 percent all the time. However, since he is a streakstriker, and if he scores in one game, his probability of scoring in the game immediately following is0.75.3.1.Write this in the probability notation. 3.2.Calculate the probability that Fernandes will score the penalties on two consecutive shots. 3.3.Calculate the probability that Fernandes scores a penalty because Zlatan has scored twice. 3.4.Are probabilities that Zlatan scores in second game and that he scores in the third gameindependent in this question? Explain.When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial samples of different blood specimens. If samples from five people are combined and the mixture tests negative, we know that all five individual samples are negative. Find the probability of a positive result for five samples combined into one mixture, assuming the probability of an individual blood sample testing positive for the virus is 0.02 Round the answer to four decimal place accuracy.
