draw a histogram of what the distribution might look like of speed limits on non residential roa

Name: draw a histogram of what the distribution might look like of speed limits on non residential roads in michigan describe the shape of the distribution 93154
Uploaded: 2024-06-08T20:26:37-08:00
Duration: 1 min 14 s
Channel: Ivan Kochetkov
Description: draw a histogram of what the distribution might look like of speed limits on non residential roads in michigan describe the shape of the distribution 93154

Step 1: Identify the range of speed limits on non-residential roads in Michigan. Typically, spee

Draw a histogram of what the distribution might look like of...

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Describe the shape of the histogram. The data set consists of the round-trip commuting times (in minutes) of 20 randomly selected employees: 135, 120, 115, 132, 136, 124, 119, 145, 98, 110, 125, 120, 115, 130, 140, 105, 116, 121, 125, and 108.

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Question: For each probability and percentile problem, draw the picture. The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway varies from 15 to 35 mph and is uniformly distributed. None of the cars travel over 35 mph through the intersection. Part A: In words, define the Random Variable X. a) The number of cars passing through the intersection b) The speed, in mph, of an individual car passing through the intersection c) The number of cars driving below 35 mph through the intersection d) The time, in seconds, it takes a car to pass through the intersection Part (b): Give the distribution of X. X ~ Uniform, Enter an exact number as an integer, fraction, or decimal. f(X) = 1/(35-15), where 15 ≤ X ≤ 35 Part (e): Enter an exact number as an integer, fraction, or decimal. μ = (15+35)/2 Part (f): σ = (35-15)/√12 (rounded to two decimal places) Part (g): What is the probability that the speed of a car is at most 26 mph? (Enter your answer as a fraction.) Part (h): What is the probability that the speed of a car is between 16 and 22 mph? (Enter your answer as a fraction.) Part (i): State "P(20 < X < 35) = ___" in a probability question. a) What is the probability that the speed of a car is between 20 and 35 mph? b) What is the probability that the speed of a car is exactly 20 or 35 mph? c) What is the probability that the speed of a car is below 20 or above 35 mph? d) What is the probability that the speed of a car is below 20 given that it is below 35 mph? Draw the picture and find the probability. (Enter your answer as a fraction.) Part (j): Find the 90th percentile. This means that 90% of the time, the speed is less than ________ mph while passing through the intersection. Part (k): Find the 85th percentile. In a complete sentence, state what this means. This means that _________ % of the time, the speed is less than ________ mph while passing through the intersection. Part (l): Find the probability that the speed is more than 27 mph given (or knowing that) it is at least 20 mph. (Enter your answer as a fraction.)

Kari H.

Sketch a plausible probability density function (pdf) for the speed of cars traveling on Interstate 80 (where the speed limit is 65 mph). Assume that the distribution is Gaussian. What (approximately) is the mean and standard deviation associated with your sketched distribution?

Adi S.

Transcript

00:01 Hello, here we have to describe the shape of the diagram.

00:04 So first what i did, i split the data into groups from 98 to 103, then from 104 to 109, from 110 to 115, and so on and so forth, up to 145.

00:35 And now i will show count image of frequency image class and as you can see that is approximately symmetric therefore i will choose answer number 2 symmetric...

Question

Draw a histogram of what the distribution might look like of speed limits on non-residential roads in Michigan. Describe the shape of the distribution.

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