Define an inner product by [img=183x51]18034570c994c23.png[/img] and the Hilbert space [img=314x25]18034570d4e10d1.png[/img]. The operator [img=110x49]18034570de689c2.png[/img] is a self-adjoint operator.
举一反三
- Which of the following statement is True? A: [img=20x18]1803bd52d74f76c.png[/img] is an eigenvalue of the position operator [img=11x19]1803bd52df60698.png[/img] . B: [img=70x25]1803bd52e788f4d.png[/img] is an eigenfunction of the position operator [img=16x19]1803bd52ef5ee5a.png[/img] C: The position operator [img=11x19]1803bd52f76293f.png[/img] is a linear operator. D: The operator [img=28x18]1803bd5300119fc.png[/img] is a linear operator.
- 1.设随机变量X的密度为[img=186x61]18034ea953ec9dd.png[/img]则常数A=________，概率[img=146x25]18034ea95d30d08.png[/img]__________. A: A=2，P(X>1|X<2)=[img=39x24]18034ea9659b618.png[/img] B: A=-2，P(X>1|X<2)=[img=39x24]18034ea9659b618.png[/img] C: A=2，P(X>1|X<2)=[img=47x44]18034ea9768a8c2.png[/img] D: A=-2，P(X>1|X<2)=[img=47x44]18034ea9768a8c2.png[/img]
- 已知随机变量X的分布函数为[img=136x49]1803b69024c8270.png[/img] ，则X的均值和方差分别为 A: E(X)=2, D(X)=4 B: E(X)=4, D(x)=2 C: [img=162x43]1803b6902cd8bfb.png[/img] D: [img=162x43]1803b69034d9ffd.png[/img]
- 1.设随机变量X的密度为[img=186x61]17de8981070b17c.png[/img]则常数A=________，概率[img=146x25]17de8981130ab0e.png[/img]__________. 未知类型：{'options': ['A=2，P(X>;1|X<;2)=[img=39x24]17de89811f6f1b0.png[/img]', 'A=-2，P(X>;1|X<;2)=[img=39x24]17de89811f6f1b0.png[/img]', 'A=2，P(X>;1|X<;2)=[img=47x44]17de89812b3a28c.png[/img]', 'A=-2，P(X>;1|X<;2)=[img=47x44]17de89812b3a28c.png[/img]'], 'type': 102}
- 1.设随机变量X的密度为[img=186x61]17de8981070b17c.png[/img]则常数A=________，概率[img=146x25]17de8981130ab0e.png[/img]__________. 未知类型：{'options': ['A=2，P(X>;1|X<;2)=[img=39x24]17de89811f6f1b0.png[/img]', 'A=-2，P(X>;1|X<;2)=[img=39x24]17de89811f6f1b0.png[/img]', 'A=2，P(X>;1|X<;2)=[img=47x44]17de89812b3a28c.png[/img]', 'A=-2，P(X>;1|X<;2)=[img=47x44]17de89812b3a28c.png[/img]'], 'type': 102}