One of the major problems facing polling firms today is non-response. Shown belo

Question

One of the major problems facing polling firms today is non-response. Shown below is a table indicating whether or not someone responded to a telephone survey displayed by the age of the individual. Use this table to answer the following questions. What is the probability that a randomly selected individual is 18-29 or refused? What is the probability that a randomly selected individual is 30-49 or responded? What is the probability that a randomly selected individual is over 70 and refused? What is the probability that a randomly selected individual is 50-69 given that they responded? A local High School has a Math Club with 25 members ranging in ages from 13 to 18 How many ways can the offices of president, vice-president, and secretary be filled? Three senators need to be elected for representation to the local student government How many different ways can we select three senators?

Explanation / Answer

4) Solution:-

a) P=317/584 =0.5428

b) 394/584=0.67465

c) 23/584 =0.03938

d) P=90/325 =0.27692

5) solution:-

a. The number is 24P3 = 25!/(25 - 3)!

= 25!/ 22!
= 23×24×25
= 13800 ways

b. the number is 25C3 = 2300 ways

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