The homicide clearance rate in Virginia is 74%. A crime is cleared when an arrest is made,

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The homicide clearance rate in Virginia is 74%. A crime is cleared when an arrest is made, a crime is charged, and the case is referred to a court.

a. What is the probability that 7 or fewer out of 10 independent homicides are cleared?

b. What is the probability that 7 or more out of 10 independent homicides are cleared?

c. Are the answers to parts a and part b complementary? Why or why not?

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