Probability of buying a house on being contacted by agent


Discuss the below:

Q: A real estate agent has four houses to sell before the end of the month by contracting prospective customers one by one. Each customer has an independent 0.24 probability of buying a house on being contacted by the agent.

a. If the agent has enough time to contact only 15 customers, how conflict can she be of selling all four houses within the available time?

b. If the agent wants to be at least 70% confident of selling all the houses within the available time, at least how many customers should she contact?

c. What minimum value of p will yield 70% confidence for selling all four houses by contacting at most 15 customers?

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Basic Statistics: Probability of buying a house on being contacted by agent
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