Final answer:
The probability that neither employee has any telecommunications experience is approximately 34.81%. The probability that both employees have some telecommunications experience is approximately 16.81%. The probability that at least one employee has had extensive telecommunications experience is approximately 60.81%.
Step-by-step explanation:
To find the probabilities, we will use the given information that 59% have no experience in the telecommunications industry, 30% have limited experience (less than 5 years), and the rest have extensive experience (5 years or more).
a) Neither has any telecommunications experience:
The probability that the first employee has no experience is 59%, and the second employee also has a 59% chance of having no experience. Therefore, the probability that neither has any telecommunications experience is 0.59 * 0.59 = 0.3481 or 34.81%.
b) Both have some telecommunications experience:
The probability that the first employee has limited or extensive experience is 100% - 59% = 41%. The second employee also has a 41% chance of having limited or extensive experience. Therefore, the probability that both have some telecommunications experience is 0.41 * 0.41 = 0.1681 or 16.81%.
c) At least one has had extensive telecommunications experience:
The probability that the first employee has extensive experience is 100% - 59% - 30% = 11%. The second employee also has an 11% chance of having extensive experience. Therefore, the probability that at least one has had extensive telecommunications experience is 1 - (0.59 * 0.59) = 0.6081 or 60.81%.