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A business bureau gets complaints as shown in the following table. Find the expe

ID: 3154577 • Letter: A

Question

A business bureau gets complaints as shown in the following table. Find the expected number of complaints per day. A) 2.85 B) 2.90 C) 3.01 D) 2.73 Use the multiplication principle to solve the problem. 21) License plates are made using 3 letters followed by 3 digits. How many plates can be made if repetition of letters and digits is allowed? A) 1,757,600 B) 17,576,000 C) 308,915,776 D) 1,000,000 Use the given table to find the indicated probability. 22) College students were given three choices of pizza toppings and asked to choose one favorite. The following table shows the results. P(favorite topping is meat | student is junior)? Round the answer to the nearest hundredth. A).057 B).313 C).211 D).174

Explanation / Answer

a. E(x)=sum(x.p(x))=0*0.4+1*.11+2*0.20+3*0.33+4*0.20+5*0.12=2.9 so answer is b. 2.90

b. Three letters can be chosen in 26^3 ways=17576

Three digits can be chosen in 10^3 ways = 1000.

Multiplying this 2 we get the required probability = 17576000=b is answer

c. Total of junior is 57. Required probability = 12/57=0.211=c is answer