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Can I get step by step help one this question For each probability and percentile problem, draw the picture. The speed of cars passing through
Can I get step by step help one this 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 from11to 35 mph and is uniformly distributed. None of the cars travel over 35 mph through the intersection.
- Part (a)
- In words, define the Random VariableX.
- the number of cars passing through the intersection
- the number of cars driving below 35 mph through the intersection
- the time, in seconds, it takes a car to pass through the intersection
- the speed, in mph, of an individual car passing through the intersection
- Part (b)
- Give the distribution ofX.
- X~,
- Part (c)
- Graph the probability distribution.
- Part (d)
- Enter an exact number as an integer, fraction, or decimal.f(X)=1
- 24
- ,whereX
- Part (e)
- Enter an exact number as an integer, fraction, or decimal.
- =
- Part (f)
- =(rounded to two decimal places)
- Part (g)
- What is the probability that the speed of a car is at most30mph? (Enter your answer as a fraction.)
- Part (h)
- What is the probability that the speed of a car is between16and22mph? (Enter your answer as a fraction.)
- Part (i)
- State "P(20<X<57) = ___" in a probability question.
- What is the probability that the speed of a car is below 20 given that it is below 57 mph?
- What is the probability that the speed of a car is exactly 20 or 57 mph?
- What is the probability that the speed of a car is between 20 and 57 mph?
- What is the probability that the speed of a car is below 20 or above 57 mph?
- Draw the picture and find the probability. (Enter your answer as a fraction.)
- Part (j)
- Find the60thpercentile.
- This means that60%of the time, the speed is less thanmph while passing through the intersection.
- Part (k)
- Find the65thpercentile. In a complete sentence, state what this means.
- This means that% of the time, the speed is less thanmph while passing through the intersection.
- Part (l)
- Find the probability that the speed is more than25mph given (or knowing that) it is at least15mph. (Enter your answer as a fraction.)
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