If 3% of all cars fail the emissions inspection, find the probability of getting following number of failed emission inspections in a sample of 150 cars using Poisson approximation. Express your final answer in 4 decimal places.at least 2 exactly 1 greater than 7 or smaller than 6 between 2 and 7, exclusively smaller than 5 greater than 6 between 2 and 6 calls, inclusively no more than 5

A service station owner in a country town has an average of 6 cars per hour arriving for petrol. Assuming a Poisson distribution, find the probability that 3 cars refuel in a 15 minute period.

Of all the registered automobiles in a city, 7% fail the emissions test. Thirteen automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places.Part: 0 / 40 of 4 Parts CompletePart 1 of 4(a) Find the probability that exactly four of them fail the test.

t is known that screws produced by a certain company will be defective with probability .01 independently of each other. The company sells the screws in packages of 25 and offers a money-back guarantee that at most 1 of the 25 screws is defective. Using Poisson approximation for binomial distribution, the probability that the company must replace a package is approximately?Select one:a.0.01.b.0.1947.c.0.7788.d.0.0264.e.0.2211.

The average number of bridge construction projects that take place at any one time in a certain state is 7.Using the Poisson distribution formula, what is the probability of exactly 4 bridge construction projects taking place at one time in this state? Answer choices are rounded to the hundredths place.

2. The number of accidents (A) at an intersection is counted for a 12-hour period. The number of accidents follows a Poisson distribution with a parameter value of 3.5. (Round to 3 decimal places and use a point-not a comma).Calculate the following:a. 𝑃(𝐴 = 1) Blank 1b. 𝑃(𝐴 < 5) Blank 2c. 𝑃(𝐴 > 0) Blank 3d. 𝑃(0 < 𝐴 ≤ 3) Blank 4e. The probability that there will be 4 accidents in a 24-hour period Blank 5f. The expected number of accidents per week. Blank 6g. Let 𝐵=number of hours in a 12-hour cycle that there are no accidents. Calculate the probability that for 8 hours in the 12-hour cycle there will be no accidents. Blank 7