Could you clearly detail the calculations behind sections b and c below? It is estimated that f 80 % of all customers at Speedy Pizza prefer thin crust pizza to thick crust pizza. The remaining g 20 % prefer thick crust pizza to thin crust pizza. Question: Of the many orders received by Speedy Pizza on a Friday night, six separate orders fail to mention the type of crust desired. Unable to contact the six customers and hoping to minimize disappointments, t he manager of Speedy Pizza has decided to send all of the six customers thin crust pizzas. (b) Write down the probability distribution of X. Let p equal the success of a randomly selected customer choosing thin crust. p =80 %, n=6, X=0…n. Using formula n !/x ! (n-x) ! ⋅ p^x ⋅ (1−p)^(n-x) = P (p n , X) = 0.01 0.15 1.54 8.19 24.58 39.32 26.21 (c) What is the probability that exactly three of t he six customers will prefer thick crust pizza, and so be unsatisfied? p’ =20 %, x=3 P(p’ n , x ) = 8.19 %
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