Normal distribution:
It is a continuous probability distribution for a random variable x. The graph of a normal
distribution is known as normal curve, which has the following properties:
1. The mode, median, and mean are all equal.
2. Normal curve is bell-shaped and symmetrical about the mean μ.
3. Total area under the normal curve is equal to one .
4. The normal curve approaches but never touches x axis.
5. The graph is concave down between µ − σ and µ + σ and elsewhere the graph is concave up. The points at
which the graph changes concavity are termed as inflection points.
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police use speed cameras to record violation of speed limits .at a strategic spo Part 3:...
police
1. Police use speed cameras to record violations of speed limits. At a strategic spot in a city, the installed camera automatically turns itself on, on average twice every 10 minutes. The pattern follows, approximately, a Poisson distribution. Within a 10-minute interval, what is the chance that it is on (A) once, (B) twice, (C) at least once?
Part 1: Knowledge and Understanding 1. Police use speed cameras to record violations of speed limits. At a strategic spot in a city, the installed camera automatically turns itself on, on average twice every 1 minutes. The pattern follow interval, what is the chance that it is on (A) once, (B) twice, (C) at least once? s, approximately, a Poisson distribution. Within a 10-minute
The New Hampshire State Police use aircraft to enforce highway speed limits. Suppose that one of the airplanes has a speed of 130 mi/h in still air. It is flying straight north so that it is at all times directly above a north–south highway. A ground observer tells the pilot by radio that a 60.0 mi/h wind is blowing but neglects to give the wind direction. The pilot observes that in spite of the wind the plane can travel 130...
Traffic police monitor the speed of vehicles as they travel over a new bridge. The average speed for a sample of 31 vehicles was 82.72 km/h, with the sample standard deviation being 4.61 km/h. We will assume that the speeds are Normally distributed, and the police are interested in the mean speed. Part a) Since the variance of the underlying Normal distribution is not known, inference here would involve the t distribution. How many degrees of freedom would the relevant...
Traffic police monitor the speed of vehicles as they travel over a new bridge. The average speed for a sample of 27 vehicles was 91.29 km/h, with the sample standard deviation being 4.94 km/h. We will assume that the speeds are Normally distributed, and the police are interested in the mean speed. Part a) Since the variance of the underlying Normal distribution is not known, inference here would involve the t distribution. How many degrees of freedom would the relevant...
(1 point) Traffic police monitor the speed of vehicles as they travel over a new bridge. The average speed for a sample of 41 vehicles was 81.35 kmvh, with the sample standard deviation being 4.52 km/h. We will assume that the speeds are Normally distributed, and the police are interested in the mean speed. Part a) Since the variance of the underlying Normal distribution is not known, inference here would involve the distrbution. How many degrees of freedom would the...
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please I need help with excel or matlab part. part 3
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3. The distribution of passenger vehicle speeds on the Interstate 5 Freeway is nearly normal with a mean of 72.6 mi/hr and a standard deviation of 4.78 mi/hr. (Use the Normal Table). Round all percents to the nearest tenth. What percent of passenger vehicles travel slower than 80 miles per hour? a. b. What percent of passenger vehicles travel between 60 and 80 miles per hour? How fast do the fastest 5% of passenger vehicles travel? C. d. The speed...