Ⅲ、填空題(每格 5 分，共 50 分。) 1. Let random variable $X$ follow a geometric distribution with parameter $p$, that is, P(X=x) = pq^n-1, p+q=1, x=1, 2, 3, Calculate the probability of $P(X > m)$, where $m$ is a positive integer. (1)

7. Let $X_1, \dots, X_n, X_{n+1}$ be a random sample from a normal population having an unknown mean $\mu$ and variance 1, and $\bar{X}_n$ be the average of the first $n$ variables. Then, the distribution of $X_{n+1} - \bar{X}_n$ is (8). If $\bar{X}_{200} = 5$, then the 95% confidence interval for $X_{201}$ is (9).

Ⅲ、填空題(每格 5 分，共 50 分。)

1. Let random variable $X$ follow a geometric distribution with parameter $p$, that is,

$$P(X=x) = pq^{n-1}, \quad p+q=1, \quad x=1, 2, 3, \dots$$

Calculate the probability of $P(X > m)$, where $m$ is a positive integer. (1)

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Ⅲ、填空題(每格 5 分，共 50 分。) 1. Let random variable $X$ follow a geometric distribution with parameter $p$, that is, $$P(X=x) = pq^{n-1}, \quad p+q=1, \quad x=1, 2, 3, \dots$$ Calculate the probability of $P(X > m)$, where $m$ is a positive integer. (1)

相關申論題

相關試卷

Ⅲ、填空題(每格 5 分，共 50 分。)

1. Let random variable $X$ follow a geometric distribution with parameter $p$, that is,

$$P(X=x) = pq^{n-1}, \quad p+q=1, \quad x=1, 2, 3, \dots$$

Calculate the probability of $P(X > m)$, where $m$ is a positive integer. (1)