To find the probability that the stock is more than $28, given that it is greater than $19, we first need to determine the total range of possible values that satisfy the condition of being greater than $19.
The stock's range varies from $12.22 to $45.34, but we are only interested in the part that is greater than $19. So, the range is from $19 to $45.34.
Now, we need to find the probability that the stock is more than $28 within this range.
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
The number of favorable outcomes is the part of the range greater than $28, which is $28 to $45.34.
Total number of possible outcomes is the entire range from $19 to $45.34.
Probability = \(\frac{45.34 - 28}{45.34 - 19} \approx \frac{17.34}{26.34} \approx 0.6581\)
Rounded to four decimal places, the probability that the stock is more than $28, given that it is greater than $19, is approximately 0.6581.