2. Suppose the weekly amount spent on computer repairs is normally distributed with a mean of $500 and a standard deviation of $30. (a) Find the probability that less than $450 is spent on repairs during any given week. (b) How much should be budgeted weekly for repairs to ensure that the amount spent exceeds the budgeted amount with probability 0.05?
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- It is known that people in the USA spend on average 18 hours a day using electronic devices with a standard deviation of 5.8 hours. This data follows a normal distribution. What is the probability someone spends exactly 18 hours using electronic devices a day? (round your answer to 4 decimals) It is known that people in the USA spend on average 17 hours a day using electronic devices with a standard deviation of 7 hours. This data follows a normal distribution. What is the probability someone spends exactly 17 hours using electronic devices a day? (round your answer to 4 decimals)The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.12. There is 35 student in the class. Each student does his/her homework independently. What is the standard deviation of X, where X is the number of students who submit the homework on time?For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 170. The grading process of this year's exam has just begun. The mean score of the 35 exams graded so far is 518. What is the probability that a sample of 35 exams will have a mean score of 518 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
- For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 500 and a standard deviation of 170. The grading process of this year's exam has just begun. The average score of the 35exams graded so far is 512. What is the probability that a sample of 35 exams will have a mean score of 512 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 170. The grading process of this years exam has just begun. The average score of the 40 exams graded so far is 490. What is the probability that a sample of 40 exams will have a mean score of 490 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.A dean in the business school claims that GMAT scores of applicants to the school's MBA program have increased during the past 5 years. Five years ago, the mean and standard deviation of GMAT scores of MBA applicants were 550 and 60, respectively. 30 applications for this year's program were randomly selected and the GMAT scores recorded. If we assume that the distribution of GMAT scores of this year's applicants is the same as that of 5 years ago, find the probability of erroneously concluding that there is not enough evidence to supports the claim when, in fact, the true mean GMAT score is 590. Assume αα is 0.02.
- Suppose that the number of customers who enter a supermarket each hour is normally distributed with a mean of 650 and a standard deviation of 230. The supermarket is open 15 hours per day. What is the probability that the total number of customers who enter the supermarket in one day is greater than 10400? (Hint: Calculate the average hourly number of customers necessary to exceed 10400 in one 15-hour day.) Probability =Suppose the mean income of firms in the industry for a year is 25 million dollars with a standard deviation of 9 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn between 36 and 42 million dollars? Round your answer to four decimal places.#04. A report stated that the average number of times a cat returns to its food bowl during the day is 36. Assuming the variable is normally distributed with a standard deviation of 5, what is the probability that a cat would return to its dish between 32 and 38 times a day?
- Suppose the mean income of firms in the industry for a year is 2525 million dollars with a standard deviation of 77 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 4040 million dollars? Round your answer to four decimal places.Suppose the mean income of firms in the industry for a year is 80 million dollars with a standard deviation of 55 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn more than 88 million dollars? Round your answer to four decimal places.The vacation leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. 1. Find the probability that the vacation – leave time of an employee in a month exceeds 180 hours.