Select the expression equivalent to (2.1x + 4.3) - (-3x - 7)
2 answers:
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Answer:
a) The probability that the airline will lose no bags next monday is 0.1108
b) The probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227
c) I would recommend taking a Poisson model with mean 4.4 instead of a Poisson model with mean 2.2
Step-by-step explanation:
The probability mass function of X, for which we denote the amount of bags lost next monday is given by this formula
a)
The probability that the airline will lose no bags next monday is 0.1108.
b) Note that . And
Therefore, the probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227.
c) If the double of flights are taken, then you at least should expect to loose a similar proportion in bags, because you will have more chances for a bag to be lost. WIth this in mind, we can correctly think that the average amount of bags that will be lost each day will double. Thus, i would double the mean of the Poisson model, in other words, i would take a Poisson model with mean 4.4, instead of 2.2.
For this case we must solve the following system of equations:
To solve we follow the steps below:
We multiply the second equation by -3:
Thus, we have the equivalent system:
We add the equations:
We look for the value of the variable "y":
Thus, the solution of the system is given by:
Answer: