The claim frequency, [math]N[/math], for a policy has a binomial distribution with the following properties:

[[math]] \operatorname{P}[N=1] = 1.5\operatorname{P}[N=0] ,\, \operatorname{E}[N] = \frac{5}{3}. [[/math]]

Determine [math]\operatorname{P}[N=4][/math].

• 0.0301
• 0.0329
• 0.0412
• 0.0465
• 0.0493