3.) Every year, Santa Claus classifies each child as either “Naughty" or “Nice." It is a known fact that 14% of children are on the Naughty List. a.) You select 100 children at random. What is the probability that the 5th child you select is on the Nice List? b.) How many children should you expect to select in order to find one on the Nice List? c.) You plan to select children at random until you find a child on the Naughty List. What is the probability that you will have to select more than 7 children?

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3.) Every year, Santa Claus classifies each child as either "Naughty" or "Nice." It is a known fact that 14% of
children are on the Naughty List.
a.) You select 100 children at random. What is the probability that the 5th child you select is on the Nice
List?
b.) How many children should you expect to select in order to find one on the Nice List?
c.) You plan to select children at random until you find a child on the Naughty List. What is the probability
that you will have to select more than 7 children?
d.) You select 15 children at random. What is the probability that the first child on the Naughty List is the
tenth child that you select?
e.) Out of every 4 children, how many do you expect will be on the Nice List?
f.) You select 4 children at random. What is the probability that all 4 are on the Nice List?
g.) You select 21 children at random. What is the probability that at least half are on the Naughty List?
Transcribed Image Text:3.) Every year, Santa Claus classifies each child as either "Naughty" or "Nice." It is a known fact that 14% of children are on the Naughty List. a.) You select 100 children at random. What is the probability that the 5th child you select is on the Nice List? b.) How many children should you expect to select in order to find one on the Nice List? c.) You plan to select children at random until you find a child on the Naughty List. What is the probability that you will have to select more than 7 children? d.) You select 15 children at random. What is the probability that the first child on the Naughty List is the tenth child that you select? e.) Out of every 4 children, how many do you expect will be on the Nice List? f.) You select 4 children at random. What is the probability that all 4 are on the Nice List? g.) You select 21 children at random. What is the probability that at least half are on the Naughty List?
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