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Male nannies. According to the International Nanny
Chapter 4, Problem 72E(choose chapter or problem)
Problem 72E
Male nannies. According to the International Nanny Association (INA), 4,176 nannies were placed in a job during a recent year (www.nanny.org). Of these, only 24 were men. In Exercise 3.11 (p. 140) you found the probability that a randomly selected nanny who was placed during a recent year is a man. Now use the hypergeometric distribution to find the probability that in a random sample of 10 nannies who were placed during a recent year, at least 1 is a man.
3.11 Male nannies. In a survey conducted by the International Nanny Association (INA) and reported at the INA Web site (www.nanny.org), 4,176 nannies were placed in a job in a given year. Only 24 of the nannies placed were men. Find the probability that a randomly selected nanny who was placed during the last year is a male nanny (a “mannie”).
Questions & Answers
QUESTION:
Problem 72E
Male nannies. According to the International Nanny Association (INA), 4,176 nannies were placed in a job during a recent year (www.nanny.org). Of these, only 24 were men. In Exercise 3.11 (p. 140) you found the probability that a randomly selected nanny who was placed during a recent year is a man. Now use the hypergeometric distribution to find the probability that in a random sample of 10 nannies who were placed during a recent year, at least 1 is a man.
3.11 Male nannies. In a survey conducted by the International Nanny Association (INA) and reported at the INA Web site (www.nanny.org), 4,176 nannies were placed in a job in a given year. Only 24 of the nannies placed were men. Find the probability that a randomly selected nanny who was placed during the last year is a male nanny (a “mannie”).
ANSWER:
Solution:
Step 1 of 2:
Let, 4176 nannies were placed in a job during a recent year. In 4176 nannies 24 were men.
Let x follows the Hypergeometric distribution with probability mass function
P(X=x) =
The claim is to find the probability that in a random sample of 10 nannies who were placed during a recent year, at least 1 is a man.