Suppose that we wish to predict whether a certain stock, Firm A, will issue a dividend this year ("Yes" or "No") based on x, last year's percent profit.

We examine a large number of companies and discover that:

• For prior probabilities, there is = 83% chance a company will issue a dividend.
• Firm A's last year percentage profit was x = 4.
• The estimated probability densities are as following:

= 0.09

= 0.07

Predict the probability that Firm A will issue a dividend.

Please round to 3 decimal places. Do not answer in percentage.