The probability function for the claim frequency is given below

[[math]] \operatorname{P}(N = k ) = \binom{5}{k}0.3^k 0.7^{5-k}. [[/math]]

What is the probability that the claim frequency will lie within one standard deviation of the mean of the claim frequency distribution?

1. 0.1631
2. 0.4694
3. 0.6231
4. 0.6689
5. 0.8011