SOLUTION: Melina recorded the number of passengers in each car of the first 100 cars that passed in front of her house on Sunday morning. The outcomes are shown in the table below: Numbe

Question 1183650: Melina recorded the number of passengers in each car of the first 100 cars that passed in front of her house on Sunday morning. The outcomes are shown in the table below:
Number of Passengers (x_i) 1 2 3 4 5
Number of Cars (f_i) 44 30 15 4 7

Find the mode(M_0) and median(x ̃) value?
Find the mean value(x ̅)?
Find the standard deviation (σ)? (Give your answer in two decimal places).
What is the probability a car to contain:
exactly 3 passengers?
at least 2 passengers?
at most 4 passengers?
exactly 6 passengers?
What kind of probability is the above problem? Justify your answer.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
1. Mode is most common and here is 1. Median is middle value or the 51st observation of ordered data and is 2.
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2. This is a weighted mean or (1/100)(44*1+30*2+15*3+4*4+7*5)=200/100=2
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3. this is 44(2^2)+30(1^2)+15(0)+4(1^2)+7(2^2)divided by 99, since this is a sample (with high likelihood)
=238/99=2.40
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4. 0.15
5. 0.30
6. everything but 5, that is 0.93.
7. 0 probability.
experimental probability
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