exercise:C417740825: Difference between revisions
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A club serves dinner to members only. They are seated at 12-seat tables. The manager observes over a long period of time that 95 percent of the | |||
tables. The manager observes over a long period of time that 95 percent of the | |||
time there are between six and nine full tables of members, and the remainder | time there are between six and nine full tables of members, and the remainder | ||
of the time the numbers are equally likely to fall above or below this range. | of the time the numbers are equally likely to fall above or below this range. | ||
Assume that each member decides to come with a given probability <math>p</math>, and that | Assume that each member decides to come with a given probability <math>p</math>, and that | ||
the decisions are independent. How many members are there? What is <math>p</math>? | the decisions are independent. How many members are there? What is <math>p</math>? | ||
Latest revision as of 22:58, 14 June 2024
A club serves dinner to members only. They are seated at 12-seat tables. The manager observes over a long period of time that 95 percent of the time there are between six and nine full tables of members, and the remainder of the time the numbers are equally likely to fall above or below this range. Assume that each member decides to come with a given probability [math]p[/math], and that the decisions are independent. How many members are there? What is [math]p[/math]?