题目

设随机变量X~N(3, 4),求:(1)P(2<X<3);(2) P(-4<X<10);(3) P(|X|>2);(4)P(X>3).

设随机变量X~N(3, 4),求:(1)P(2<X<3);(2) P(-4<X<10);(3) P(|X|>2);(4)P(X>3).

题目解答

答案

解:(1)P(2<X<3)=

=0.1915;

(2) P(-4<X<10)=

==0.9996;

(3) P(|X|>2)==

===0.6977;

(4)P(X>3)===0.5.