travel from her home to her morning class is uniformly distributed between 22 and 30 minutes. If she leaves home at precisely 7.35 a.m., what is the probability that she will
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- An earth-conscious clothing store offers a 15% discount if you bring in a bag full of old clothing to recycle the fabric. The probability that each bag brought in will contain fabric that can actually be recycled is 69%. In a given day, if there are 20 bags of fabric brought in to recycle, calculate the following: Round each answer to 4 decimal places. The probability that at least 9 bags will contain fabric that can be recycledAfter examining her college attendance records for the past few years, Professor Bea Earlee determined that there is a 30% chance that a student will come late to her class. Six students are selected at random. Find the probability that none of the six arrive late to class. Round to 4 decimal places.A certain disease has an incidence rate of 0.1%. If the false negative rate is 7% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.
- Industrial Robots are programmed to operate through microprocessors. The probability that one such computerized robot breaks down during any one 8-hour shift is 0.2. Find the probability that the robot will operate for at most five shifts before breaking down twice.A person with a cough is a persona non grata on airplanes, elevators, or at the theater. In theaters especially, the irritation level rises with each muffled explosion. According to Dr. Brian Carlin, a Pittsburgh pulmonologist, in any large audience you'll hear about 14 coughs per minute. Find the probability of at least five coughs (in a large auditorium) in a 27-second period. (Use 4 decimal places.)Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
- The probability that a randomly chosen sales prospect will make a purchase is 20%. What is the probability (to three decimal places) that the salesperson will make four or more sales if six sales calls are made on a given day?On average dog bite victims arrive at Carver Memorial Hospital at a rate of 2 victims per day. Which probability distribution is most nearly appropriate to describe the number of dog bite victims who arrive at this hospital on a given day?A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.
- Tom the cat patrols the house in search of the mouse Jerry, who wants to get into the kitchen for something to eat. After leaving the kitchen, Tom will return after a random amount of time, which follows an exponential distribution with mean 20 seconds. Suppose Jerry needs 10 seconds to get across the house, and starts 5 second after Tom leaves the kitchen. What is the probability that Jerry the mouse will get caught?A certain disease has an incidence rate of 0.2%. If the false negative rate is 5% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease.