A restaurant manager tracks the number of people in every party to sit at a specific table every day for a week, and then compiles the results into a probability distribution as shown in the table: Number of People , X 1 2 3 4 6 Relative Frequency P(X) 0.05 0.46 0.18 0.22 0.06 0.03
There seems to be a mistake in the given data as the sum of probabilities is not equal to 1.
Assuming that the correct relative frequency for 5 people is actually 0.03 (instead of 0.00), we can calculate the missing value for 5 people as follows:
1 - (0.05 + 0.46 + 0.18 + 0.22 + 0.06 + 0.03) = 0.
Therefore, the corrected probability distribution is:
Number of People , X 1 2 3 4 5 6
Relative Frequency P(X) 0.05 0.46 0.18 0.22 0.03 0.06