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这是一篇美国作业是应用概率统计的一个统计作业homework
这项作业将加强您对应用中基本概念的理解
概率和统计。 本作业中的问题将建立在讲座材料的基础上
以及指定的读数（Wasserman, L. 2004. All of Statistics”）。
问题 1：联合、条件、边际概率（1 分）
假设我们连续投掷两次公平的六面骰子。 设 A 是一个随机变量，表示
第一次投掷的数字，B 是第二次投掷的数字。 设 S 为总和
两次投掷。 下面的概率是多少
a) P(A = 1;B = 2 j S = 3)
b) P(S = 3 j A = 1;B = 2)
c) P(A = 1;B = 2 j S = 4)
d) P(A = 1 j S = 6)
e) P(A = 3 j S = 6)
f ) P(A = 1 j S = 2)
g) P(S = 10)
h) P(S = 6)
This assignment will strengthen your understanding of the fundamental concepts in applied
probability and statistics. The questions in this assignment will build on lecture material as
well as the assigned readings from (Wasserman, L. 2004. All of Statistics”).
Problem 1: Joint, Conditional, Marginal Probability (1 point)
Suppose we throw a fair six-sided die twice in a row. Let A be a random variable representing
the number on the rst throw, and B be the number on the second throw. Let S be the sum
of both throws. What are the following probabilities
a) P(A = 1;B = 2 j S = 3)
b) P(S = 3 j A = 1;B = 2)
c) P(A = 1;B = 2 j S = 4)
d) P(A = 1 j S = 6)
e) P(A = 3 j S = 6)
f ) P(A = 1 j S = 2)
g) P(S = 10)
h) P(S = 6)