3. Of the customers purchasing automatic garage-door openers, 75% purchase a chain-driven model. Let X= the number among the next 15 purchasers who select the chain-driven model. a) Compute P(X > 10) and P(6 s X s 10). 24 b) Compute u and o2. c) If the store currently has in stock 10 chain-driven models and 8 shaft-driven models, what is the probability that the requests of these 15 customers can all be met from existing stock?

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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3. Of the customers purchasing automatic garage-door openers, 75%
purchase a chain-driven model. Let X= the number among the next 15
purchasers who select the chain-driven model.
24
a) Compute P(X > 10) and P(6 s X s 10).
b) Compute u and o2.
c) If the store currently has in stock 10 chain-driven models and 8
shaft-driven models, what is the probability that the requests of
these 15 customers can all be met from existing stock?
4. A Transmission channel transmits zeros and ones in strings of length 8
(Call these words). possible distortion may change a one to a zero or
vice versa; assume this distortion occurs with probability .01 for each
digit, independently. An error-correcting code is employed in the
construction of the word such that the receiver can identify the word
correctly if at most one digit is in error. What is the probability the word
is identified incorrectly?
Transcribed Image Text:Exercises 3. Of the customers purchasing automatic garage-door openers, 75% purchase a chain-driven model. Let X= the number among the next 15 purchasers who select the chain-driven model. 24 a) Compute P(X > 10) and P(6 s X s 10). b) Compute u and o2. c) If the store currently has in stock 10 chain-driven models and 8 shaft-driven models, what is the probability that the requests of these 15 customers can all be met from existing stock? 4. A Transmission channel transmits zeros and ones in strings of length 8 (Call these words). possible distortion may change a one to a zero or vice versa; assume this distortion occurs with probability .01 for each digit, independently. An error-correcting code is employed in the construction of the word such that the receiver can identify the word correctly if at most one digit is in error. What is the probability the word is identified incorrectly?
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