The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 15 minutes, inclusive. a. What is the probability that a person waits fewer than 12.5 minutes?
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- 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.)The police have estimated that there are twelve major accidents per day on a particular 10-mile stretch of a national highway. Suppose the incidence of accidents is evenly distributed on this 10-mile stretch of the highway. a. Find the probability that there will be fewer than eight major accidents in this 10-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) Probability b. Find the probability that there will be more than two accidents in a 1-mile stretch of this highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) ProbabilityThe Wilson family was one of the first to come to the U.S. They had 6 children. Assuming that the probability of a child being a girl is .5, find the probability that the Wilson family had:
- Assume that when adults with smartphones are randomly selected, 52% use them in meetings or classes. If 25 adult smartphone users are randomly selected, find the probability that exactly 19 of them use their smartphones in meetings or classes. The probability is. (Round to four decimal places as needed.)If a seed is planted, it has a 61% chance of growing into a healthy plant. Let X be the number of seeds grow into healthy plants when 57 seeds are planted. What is the distribution of X? Please show the following answers to 4 decimal places. What is the probability that exactly 24 seeds grow into healthy plants? What is the probability that at most 24 seeds grow into healthy plants?Researchers have shown that the num-ber of successive dry days that occur after a rainstorm for particular regions of Catalonia, Spain, is a random variable thatis distributed exponentially with a mean of 8 days. Source:International Journal of Climatology.a. Find the probability that 10 or more successive dry daysoccur after a rainstorm.b. Find the probability that fewer than 2 dry days occur aftera rainstorm.
- A broker has a bonus scheme to encourage profitable trading. Under the rules of the scheme, any trader who drops below his daily target more than three times in a two-week period (10 working days) will forfeit his bonus at the end of the period. If the probability that an employee will be below target on any one day is 0.15, how many bonuses will be lost by 100 traders in a 50-week year? (Assumptions of independence are valid here). а. 50 b. 10 С. 125 d. 100On 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?40% of consumers believe that cash will be obsolete in the next 20 years. Assume that 6 consumers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years. The probability is (Round to three decimal places as needed.) ...
