Automobile warranty claims for engine mount failure in a Troppo Malo 2000 SE are rare at a certain dealership, occurring at a mean rate of 0.1 claim per month. (a) What is the probability that the dealership will wait at least 6 months until the next claim? (Round your answer to 4 decimal places.) Probability (b) What is the probability that the dealership will wait at least a year? (Round your answer to 4 decimal places.) Probability (c) What is the probability that the dealership will wait at least 2 years? (Round your answer to 4 decimal places.) Probability (d) What is the probability that the dealership will wait at least 6 months but not more than 1 year? (Round your answer to 4 decimal places.) Probability

a) Probability: 0.5488

b) Probability: 0.3012

c) Probability: 0.0907

d) Probability: 0.2476

Step-by-step explanation:

a) We can model this as a Poisson process, with parameter r=0.1.

We have to calculate the probability that no claim is made in 6 months.

The probability that the dealership will wait at least 6 months until the next claim is 0.5488.

b) In this case, t=12 months.

c) In this case, t=24 months

d) In this case, we have to multiply the probability that there is no claim in the first 6 months (k=0, t=6) and the probability that there is more than one claim in the next 6 months (k>0, t=6).

As the Poisson process is memoryless, the probabilitiies are independent of past events and can be calculated that way.

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

the ratios are reciprocals im positive

step-by-step explanation:

they are all positive numbers so it wouldn't be the other ones