← 返回数学题库
468概率中等数值题short

Aggregate Insurance Claims via the CLT

题目

An insurer has 300300 independent policyholders. Each policyholder files a Poisson(3)\mathrm{Poisson}(3) number of claims per year. Let T=i=1300NiT = \sum_{i=1}^{300} N_i be the total number of claims.

Using the CLT, approximate P(T>960)P(T > 960).

You may use Φ(2.00)0.9772\Phi(2.00) \approx 0.9772.

解题计时

0:00

提交作答时记录,用于后续平均用时统计。

你的答案