Which of the following statement(s) is(are) true:
(6) The set {1, cos x, sin x} is linearly dependent.
Sketch the image of the triangle with vertices (0,0), (1,0), and (0,1) under the linear
geometric description.
A system of linear equations has uncertain coefficients which are modeled by a
random variable A . The system is as follows:
(1) Please calculate the probability that the system has nontrivial solutions.
(2) Please solve the system when nontrivial solutions exist.
Switches α1,α2 ,...,α6 in the diagram open and close randomly and independently.
The probability that switch αk is closed at any time equals pk . Calculate the
probability that at any time there is at least one closed path from point 1 to point 2.
The probability that a certain diode will fail before 1500 hours’ service equals 0.4. If
10,000 such diodes are tested, use the central limit theorem to estimate the probability
that between 3950 and 4180 will have failed before 1500 hours.
A transmitter is sending a signal repeatedly to a receiver until the signal is received.
Suppose that the signal is sent N times, where N is a geometric random variable
intensity of the received signal be X , where X is a normal random variable whose
probability density function (PDF) conditioning on N is
(1) Find the unconditional mean and variance of X .
(2) Let pN|X (n|x) be the conditional PMF of N given X . Find the ratio
可觀看題目詳解,並提供模擬測驗!(免費會員無法觀看研究所試題解答)