Bikes Bicycles arrive at a bike shop in boxes. Beforethey can be sold, they must be unpacked, assembled, and tuned (lubricated, adjusted, etc.). Based on past experi-ence, the shop manager makes the following assumptions about how long this may take:● The times for each setup phase are independent.● The times for each phase follow a Normal model.● The means and standard deviations of the times (inminutes) are as shown: a) What are the mean and standard deviation for the totalbicycle setup time? b) A customer decides to buy a bike like one of the dis-play models but wants a different color. The shop has one, still in the box. The manager says they can have itready in half an hour. Do you think the bike will be setup and ready to go as promised? Explain. Phase Mean SDUnpacking 3.5 0.7Assembly 21.8 2.4Tuning 12.3 2.7

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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.