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- someone finds that an average of 1.6 cars approach the intersection every minute. assuming the number of cars that approach this intersection follows a Poisson distribution, what is the probability that 3 or more cars will approach the intersection within a minute?The number of work-related injuries per month in a manufacturing plant is known to follow a Poisson distribution, with a mean of 4.0 work-related injuries a month. What is the probability that in a given month, no work-related injuries occur? That at least one work-related injury occurs?2. An automobile battery manufacturer claims that its midgrade battery has a mean life of 50 months with a standard deviation of 6 months. Suppose the distribution of battery lives of this particular brand is approximately normal. On the assumption that the claims are true, find the probability that a randomly selected battery of this type will last less than 48 months. (Use the software link for every question) (a) Let X = number of months a battery will last. Write the question above in terms of this variable X (b) Find the probability that a single battery of this type will last less than 48 months. (c) Find the probability that the mean of a random sample of 36 batteries will be less than 48 months. (d) Why do you think the values from part (b) and part (c) are different? Explain.
- 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 175. The grading process of this year's exam has just begun. The average score of the 40 exams graded so far is 518. What is the probability that a sample of 40 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. Sub ContinueIf arrivals occur at a mean rate of 2.6 events per minute the exponential probability of waiting more than 1.5 minutes for the next arrival is is a .0202 or .0122 or .0535 or .2564Question 4 a) For a large group of sale prospects, it has been observed that 22 percent of those contacted personally by a sales representative will make a purchase. If a sales representative contacts 35 prospects: i) Determine the probability that 10 or more will make a purchase (include also correction of continuity). ii) Determine the probability that not more than 3 will make a purchase (include also correction of continuity). iii) In what condition does binomial distribution approximate to normal distribution?
- 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 175. The grading process of this year's exam has just begun. The average score of the 35 exams graded so far is 526. What is the probability that a sample of 35 exams will have a mean score of 526 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. Submit Assignment 2021 McGraw Hil LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility US Continue V O 8:19 hp esc 2# 8. 3 4. t 00The average time a CEO remains in office for a certain company is 3.6 years; then a new CEO is selected. It seems that the length of time in office of each CEO is quite unpredictable. What is the standard deviation, in years, of the time until we must find the 6th CEO. What is the probability that no more than 2 CEO's will leave office in the next 5 years?Question 4 a) For a large group of sale prospects, it has been observed that 22 percent of those contacted personally by a sales representative will make a purchase. If a sales representative contacts 35 prospects: i) Determine the probability that 10 or more will make a purchase (include also correction of continuity). ii) Determine the probability that not more than 3 will make a purchase (include also correction of continuity). iii) In what condition does binomial distribution approximate to normal distribution?
- If life length ( in hours ) of certain kind of device follows chi - squared distribution with dof 10 . Find the probability that exactly 2 of 6 such devices in a system will have to be replaced within the first 16 hours of operation. Assume that life of the devices are independentA certain military radar is set up at a remote site with no repair facilities. If (MTBF) of 200 h the radar is known to have a mean-time-between-failures find the probability that the radar is still in operation one week later when picked up for maintenance and repairs.A lightbulb is warranted to last for 5,000 hours. If the time to failure is exponentially distributed with a true mean of 4,800 hours, what is the probability that it will last at least 5,000 hours?
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