Using the computerised till in a shoe shop, the manager can predict what stock to order from the previous week's sales. Opposite is the tabularised print-out for last week for men's shoes. Q4 Shoe size 5 8 10 frequency 9 28 56 70 56 28 a) The mean, mode and median for thiş data can be compared. For each of the following statemeņts decide whether it is true or false. i) The mode for this data is 70. ii) The mean.is greater than the median for this distribution. ii) The mean, median and mode are all equal in this distribution. b) What percentage of customers bought shoes of the mean size from last weeks sales data: i) 30% ii) 70% iii) 0.273% or iv)27.3%?

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Q: Can you please evaluate part IV and V? Can part b and c also be completed?

A: We have find the integral of  4) ∫x4 exdx5) ∫x5 exdx

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A: To use normal approximation, the following conditions should be satisfied. np>5 and n(1-p)>5

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.