Based on the current rate of savings, the average American household will live on 59 percent of pre-retirement income once they retire, a recent report says. The report also says that Americans are behind in funding their retirement years. The report recommended saving enough to be able to live on 85 percent of income in retirement. However, the typical household has put aside only $18,750 for retirement. Suppose we can assume that the true average amount a typical household has put aside for retirement is $18,750. Also assume that these amounts vary with a standard deviation of $12,500. The distribution of these amounts is known to be right-skewed.

Suppose one household is to be randomly selected. Is the probability that this household has set aside more than $30,000 for retirement equal to 0.1841?