Solution of problem N4214 Laplace probability theory

Solution of problem N4214 Laplace probability theory

4214. It is established that a third of buyers wish to purchase fashionable clothes. The store is visited by an average of 800 people per month. Find: a) the likelihood that at least 250 buyers will acquire fashionable clothes; b) the most likely number of customers who want to buy fashionable clothes and calculate the probability corresponding to this event; c) the relative frequency of buyers who want to buy fashionable clothes will deviate from probability by no more than 0.05 (in absolute value).

Additional information:

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)