Notes on Binomial Mean Standard Deviation and Expectation of a game

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Binomial Mean & St.
Dev.
Binomial Mean & Standard Deviation
Expectation
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It is estimated that 28% of all students enjoy math.
If 6 people are selected at random, find the
probability that
a.
exactly 3 enjoy math.
b.
at least 4 enjoy math.
c.
less than 2 enjoy math.
Mean

If 90% of all people between the ages
of 30 and 50 drive a car. Find the
mean number (expected #) who drive
in a sample of 40.
Formulas
Mean :
  np
Variance :   npq
2
St.Dev. :
  npq
If 8% of the population carry a certain gene, find
the expected number who carry the gene in a
sample of 80. Find the standard deviation.
A club has 50 members. If there is a 10%
absentee rate per meeting, find the mean,
variance, and standard deviation of the number of
people who will be absent form each meeting.
500 raffle tickets are sold at $2 each. You bought
5 tickets. What’s your expected winning if the
prize is a $200 tv.?
There are four envelopes in a box. One envelope
contains a $1 bill, one contains a $5, one contains
a $10, and one a $50 bill. A person selects an
envelope. Find the expected value of the draw.
What should we charge for the game for it to be
fair?
A person selects a card from a deck. If it is a red
card, he wins $1. If it is a black card between or
including 2 and 10, he wins $5. If it is a black
face card, he wins $10, and if it is a black ace, he
wins $100. Find the expectation of the game.
What would it be if it cost $10 to play? What
should I charge to make it a fair game?
Quiz:
Homework
Worksheet
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