The headway h is the average time between vehicles. On a highway carrying an average of 500 vehicles per hour, the probability P that the headvay is at least t seconds is given by the following formula. t P = 0.97 (a) what is the limiting value of P? Explain what this means in practical terms. This means that the probability of finding very large headways is smal (b) The headway h can be calculated as the quotient of the spacing fin feet, which is the average distance betvween vehicles, and the average speed v, in feet per second, of traffic. Thus, the probability that spacing is at least ffeet is the same as the probability that the headway is at least f/v seconds. Use function composition to find a formula for the probability Q that the spacing is at least ffeet. Note: Your formula will involve both fand v. Q = (c) If the average speed is 86 feet per second, what is the probability that the spacing between two vehicles is at least 41 feet? (Round your answer to the nearest whole number.)

Q: (-14) + (–7)

A:

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.