Question

(PLEASE answer all questions and I will give you a thumbs up!)

A small construction crew in northwestern Canada is about to start road work on a mining road. The work is not too difficult and it will only take one day. Since this road is in a pretty remote area, not many vehicles drive on it. The amount of daily traffic follows a uniform distribution with daily vehicles ranging from 4 to 15.

Given this discrete uniform distribution, what is the probability that the number of cars stopped by this construction will be 5 or 6?

Enter your answer in decimal form using three decimal places. For example, if your answer is 23.24%, you should enter .232 in the box below.

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A third small construction crew in northeastern Canada is about to start road work on a road that connects two small fishing villages. Being minor, their work will only take one day. Since this road is in a remote area, not many vehicles drive on it. The amount of daily traffic follows the following distribution.

Number of Drivers               Probability
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        1                                         0.211
        2                                         0.193
        3                                         0.163
        4                                         0.22
        5                                         0.213
  

Given this distribution, What is the probability that the construction crew will stop more than 2 cars?

Enter your answer in decimal form using three decimal places. For example, if your answer is 23.24%, you should enter .232 in the box below.

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A construction crew in northern Canada is about to start road work on a logging road. Being minor, their work will only take a single day. Since this road is far from civilization, not many vehicles drive on it. The amount of daily traffic follows a poisson distribution with ?=5.4.

Given this Poisson distribution, what is the probability that the number of cars stopped by this construction will be 5?

Enter your answer in decimal form using three decimal places. For example, if your answer is 23.24%, you should enter .232 in the box below.

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What is the probability that the construction crew will stop more than 4 cars?

Enter your answer in decimal form using three decimal places. For example, if your answer is 23.24%, you should enter .232 in the box below.

Answer 1

Q1) Since the distribution of cars is uniform between 4 to 15 inclusive, there are 12 possibilities.

Hence we have

As there can be either 5 or 6 cars not both,

So the required probability is

Q2) Using the distribution given we have the required probability as

Having 3, 4 or 5 cars,

Tha probability of which is

Q3) Using Poisson distribution, probability of r cars stopped is

Hence, probability that the construction crew will stop 5 cars is

probability that the construction crew will stop more than 4 cars is equal to 1- probability that the construction crew will stop less or equal to 4 cars

Probability that the construction crew will stop less or equal to 4 cars=

Hence, required probability is 0.627