The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between0 and 7 minutes. Find the probabilty hat a randomly selected passenger has a waiting time greater than 2.25 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes. (Simplify your answer. Round to three decimal places as needed.)

0.643 = 64.3% probability that a randomly selected passenger has a waiting time greater than 2.25 minutes.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

For this problem, we have that:

Uniformily distributed between 0 and 7, so

Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes.

Either the waiting time is 2.25 minutes or less, or it is greater than 2.25 minutes. The sum of the probabilities of these events is decimal 1. So

In which

Finally

0.643 = 64.3% probability that a randomly selected passenger has a waiting time greater than 2.25 minutes.

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

answer: options

step-by-step explanation: