APPLIED'PROBABILITY'AND' STATISTICS…oucsace.cs.ohiou.edu/~chelberg/classes/3713/ch03-2.pdf ·...
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EE3713
APPLIED'PROBABILITY'AND'STATISTICS'FOR'ELECTRICAL'
ENGINEERS!!Chapter!3!
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Examples
• Probability of pregnant woman having a boy
• Probability of getting a raise this year • Probability of passing this class
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Example
OU’s place kicker has a certain probability p of missing a field goal. If we assume each kick is independent, then the random variable Z that is the number of kicks he makes before missing (including the missed kick) is what kind of random variable? What is it’s PMF?
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Geometric Distribution Examples
Terminals on an on-line computer system are attached to a communication line to the central computer system. The probability that any terminal is ready to transmit is 0.95. Let X = number of terminals polled until the first ready terminal is located.
Geometric Distribution Examples
It is known that 10% of products on a production line are defective. Products are inspected until first defective is encountered. Let X = number of inspections to obtain first defective.
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Geometric Distribution Examples
One percent of bits transmitted through a digital transmission are received in error. Bits are transmitted until the first error. Let X denote the number of bits transmitted until the first error.
What if a Bernoulli event happens many times?
We have seen this before: • Probability of getting 7 heads in 40 coin tosses
• Probability of observing 14 boys of 20 babies
• Probability of 8 people getting a raise of 30 employees
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What distribution is this?
Toss a coin repeatedly. Let X = number of tosses to first head.
What distribution is this?
Spin a “wheel of fortune” that has the numbers from 1-32 on it. The random variable is the number that gets chosen.
What distribution is this?
The number of passes a quarterback makes in a row.
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