a. A box contains 20 “LAYS" snack packets, each packet is equally likely to be MASALA or FRENCH CHEESE flavor, independent of any other packet in the box. If you randomly grab six packets from the box, what is the probability that you grab equal number of MASALA and FRENCH CHEESE flavor packets?

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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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a. A box contains 20 “LAYS" snack packets, each packet is equally likely to be MASALA or
FRENCH CHEESE flavor, independent of any other packet in the box. If you randomly grab
six packets from the box, what is the probability that you grab equal number of MASALA
and FRENCH CHEESE flavor packets?
b. Now a days communication systems are used to send data via any medium. The reliability
of any communication system depends on correct decision of receiver. Suppose a binary
communication system transmits data over wireless channel. The channel introduces random
bit error with probability 0.3. If the receiver makes an incorrect decision with probability
0.16. How many times the transmitter does transmits each information bit such that decoder
takes a majority votes of the received bits to decide what the transmitted bit was.
Transcribed Image Text:a. A box contains 20 “LAYS" snack packets, each packet is equally likely to be MASALA or FRENCH CHEESE flavor, independent of any other packet in the box. If you randomly grab six packets from the box, what is the probability that you grab equal number of MASALA and FRENCH CHEESE flavor packets? b. Now a days communication systems are used to send data via any medium. The reliability of any communication system depends on correct decision of receiver. Suppose a binary communication system transmits data over wireless channel. The channel introduces random bit error with probability 0.3. If the receiver makes an incorrect decision with probability 0.16. How many times the transmitter does transmits each information bit such that decoder takes a majority votes of the received bits to decide what the transmitted bit was.
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