Please help me solve this problem Suppose the number of mechanical failures occurring in an industrial plant follows a Poisson distribution with an average of 1.4 failures per week. (a) What is the probability of no mechanical failures in a given week? (b) What is the probability that four or more mechanical failures will occur during a three-week period? Thanks
A brand of television has a lifetime that is normally distributed with a mean of 7 years and a standard deviation of 2.5 years. What is the probability that a randomly chosen TV will last more than 8 years? Note: Write your answers with two places after the decimal, rounding off as appropriate.
Psychologists estimate that 80% of male drivers, when lost in trying to find a location, continue to drive rather than asking for directions. If this estimate is correct, what is the probability that, in a random sample of 100 lost male drivers, the proportion who continue to drive is a. at least 0.70? b. less than 0.85? I just want which formula I should use . please tell me step by step not shortcut method . great thanks
A student is preparing for an upcoming midterm exam. The professor given the student 40 practice questions and plans to select 12 of the questions at random to create the midterm exam. Suppose the student knows how to correctly answer 34 of the 40 questions. Let X represent the number of questions the student answers correctly on the exam. What is the probability distribution of X?
1. A construction company wants to submit a bid for remodeling a school. The research and planning needed to make the bid cost $4000. If the bid were accepted, the company would make $26,000. Would you advise the company to spend the $4000 if the bid has only 20% probability of being accepted? Explain your reasoning.