The number of major faults on a randomly chosen 1 km stretch of highway has a...
The number of major faults on a randomly chosen 1 km stretch of highway has a Poisson distribution with mean 1.4. The random variable X is the distance (in km) between two successive major faults on the highway.
What is the probability you must travel more than 3 km before encountering the next four major faults? Give your answer to 3 decimal places.
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The number of major faults on a randomly chosen 1 km stretch of
highway has a...
-102. The distance between major cracks in a highway fol (a) What is the probability that...
-102. The distance between major cracks in a highway fol (a) What is the probability that there are no major cracks in a (b) What is the probability that there are two major cracks in a (c) What is the standard deviation of the distance between (d) What is the probability that the first major crack occurs lows an exponential distribution with a mean of 10 km. 20 km stretch of the highway? 20 km stretch of the highway? major...
The number of accidents occurring per week on a certain stretch of motorway has a Poisson...
The number of accidents occurring per week on a certain stretch of motorway has a Poisson distribution with mean 24 Find the probability that in a randomly chosen week, there are between 3 and 6 (both inclusive) accidents on this stretch of motorway O 0.419 O 0.4303 O 04660 O 0534
The distance between major cracks in a highway follows an exponential distribution with a mean of...
The distance between major cracks in a highway follows an exponential distribution with a mean of 23 miles. What is the probability that there are no major cracks in two separate five-mile stretches? Please enter the answer to 3 decimal places.
A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of interstate highway. Longterm history indicates that there has been an average of 1.70 accidents per day on...
A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of interstate highway. Longterm history indicates that there has been an average of 1.70 accidents per day on this section of the interstate. Let r be a random variable that represents number of accidents per day. Let O represent the number of observed accidents per day based on local highway patrol reports. A random sample of 90 days gave the following information. r 0 1...
The distance between major cracks in a highway follows an exponential distribution with a mean of...
The distance between major cracks in a highway follows an exponential distribution with a mean of 20 miles. What is the probability that the first major crack occurs between 12 and 15 miles of the start of inspection? Please enter the answer to 3 decimal places.
Suppose the number of vehicles which are within a specified section of highway has a Poisson...
Suppose the number of vehicles which are within a specified section of highway has a Poisson distribution with mean value 3 for randomly selected 5-minute intervals. Find the probability of at least 2 vehicles being found within the interval for a randomly selected 5-minute interval. . Below ? denotes Euler’s number; ? ≅ 2.718. a) 1−3?−3 b) 3?−3 c) 1−4?−3* d) 4?−3 e) None of the above
Part 1 Suppose that 2 batteries are randomly chosen without replacement from a group of 12...
Part 1 Suppose that 2 batteries are randomly chosen without replacement from a group of 12 batteries: 3 new, 4 used (working), and 5 defective. Let the random variable X denote the number of new batteries chosen and the random variable Y denote the number of used batteries chosen. The joint distribution fxy is given in the following table: 0 12 17663/6 120/6612/66 1. Calculate P ( X 1 ,Y > 1) 2. Find the marginal probability mass function fx...
A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of...
A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of interstate highway. Longterm history indicates that there has been an average of 1.70 accidents per day on this section of the interstate. Let r be a random variable that represents number of accidents per day. Let O represent the number of observed accidents per day based on local highway patrol reports. A random sample of 90 days gave the following information. r 0 1...
5 numbers chosen randomly without replacement. "B" represents number of even numbers, this random variable has...
5 numbers chosen randomly without replacement. "B" represents number of even numbers, this random variable has this probability: x 0 1 2 3 4 5 p(B=x) 0.02693 0.15989 .33858 .31977 .13464 .02020 number of odd #s chosen would then be 5-x, if x is even #s chosen. "C" represents difference b/w # of even and # of odd chosen, --> C= 2B-5 a. probability that exactly 1 even # chosen? b. probability at most 1 even # chosen? c. prob....
3. From past experience, it is found that the number of typing errors made by Mary follows a Poisson distribution. The probability that there are no errors made on a randomly chosen page is 0.7788. (a) Find the mean and the standard deviation for the numb
3. From past experience, it is found that the number of typing errors made by Mary follows a Poisson distribution. The probability that there are no errors made on a randomly chosen page is 0.7788. (a) Find the mean and the standard deviation for the number of mistakes made on a page. (b) Determine the expected number of mistakes made on 8 randomly chosen pages. [3] (c) If 20 pages were randomly chosen, find...
-102. The distance between major cracks in a highway fol (a) What is the probability that there are no major cracks in a (b) What is the probability that there are two major cracks in a (c) What is the standard deviation of the distance between (d) What is the probability that the first major crack occurs lows an exponential distribution with a mean of 10 km. 20 km stretch of the highway? 20 km stretch of the highway? major...
The number of accidents occurring per week on a certain stretch of motorway has a Poisson distribution with mean 24 Find the probability that in a randomly chosen week, there are between 3 and 6 (both inclusive) accidents on this stretch of motorway O 0.419 O 0.4303 O 04660 O 0534
The distance between major cracks in a highway follows an exponential distribution with a mean of 23 miles. What is the probability that there are no major cracks in two separate five-mile stretches? Please enter the answer to 3 decimal places.
The distance between major cracks in a highway follows an exponential distribution with a mean of 20 miles. What is the probability that the first major crack occurs between 12 and 15 miles of the start of inspection? Please enter the answer to 3 decimal places.
Part 1 Suppose that 2 batteries are randomly chosen without replacement from a group of 12 batteries: 3 new, 4 used (working), and 5 defective. Let the random variable X denote the number of new batteries chosen and the random variable Y denote the number of used batteries chosen. The joint distribution fxy is given in the following table: 0 12 17663/6 120/6612/66 1. Calculate P ( X 1 ,Y > 1) 2. Find the marginal probability mass function fx...
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