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(Created page with "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. What is <math>p</math>? '''References''' {{cite...") |
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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 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. | 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. What is <math>p</math>? | Assume that each member decides to come with a given probability <math>p</math>, and that the decisions are independent. What is <math>p</math>? | ||
<ul class="mw-excansopts"> | |||
<li>0.04</li> | |||
<li>0.055</li> | |||
<li>0.063</li> | |||
<li>0.07</li> | |||
<li>0.075</li> | |||
</ul> | |||
'''References''' | '''References''' | ||
{{cite web |url=https://math.dartmouth.edu/~prob/prob/prob.pdf |title=Grinstead and Snell’s Introduction to Probability |last=Doyle |first=Peter G.|date=2006 |access-date=June 6, 2024}} | {{cite web |url=https://math.dartmouth.edu/~prob/prob/prob.pdf |title=Grinstead and Snell’s Introduction to Probability |last=Doyle |first=Peter G.|date=2006 |access-date=June 6, 2024}} | ||
Latest revision as of 02:54, 27 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. What is [math]p[/math]?
- 0.04
- 0.055
- 0.063
- 0.07
- 0.075
References
Doyle, Peter G. (2006). "Grinstead and Snell's Introduction to Probability" (PDF). Retrieved June 6, 2024.