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You are tossing a balanced die that has probability 1/6 of coming up 1 on each toss. Tosses are independent. We are interested in how long we must wait to get the first 1.
(a) The probability of a 1 on the first toss is 1/6. What is the probability that the first toss is not a 1 and the second toss is a 1?
(b) What is the probability that the first two tosses are not 1s and the third toss is a 1? This is the probability that the first 1 occurs on the third toss.
(c) Now you see the pattern. What is the probability that the first 1 occurs on the fourth toss? On the fifth toss?
The researcher wants to know whether either pesticide works and whether there is a significant difference in effectiveness between them. Design an appropriate experiment.
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The QPSK system of Example 8.13 can be generalized to an M-ary phase shift keying (M-PSK) system with M > 4 equally likely signals. The signal vectors are {s0,...,sM-1} where and θi = 2πi/M. When the ith message is sent, the received signal is X = ..
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the middle 53 of a normally distributed population lies between what two standard scores? give your answers correct to
a group of 49 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8. construct a 98
A population of scores forms a normal distribution with a mean of μ = 40 and a standard deviation of σ =12.
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