Respuesta :
Answer: 0.206
Step-by-step explanation: the probability of employees that needs corrective shoes are =8%= 8/100 = 0.08
Probability of employees that needs major dental work = 15% = 15/100 = 0.15
Probability of employees that needs both corrective shoes and dental work = 3% = 3/100 = 0.03
The probability that an employee will need either corrective shoes or major dental work = (Probability an employee will need correct shoes and not need dental work) or (probability that an employee will need dental work or not corrective shoes)
Probability of employee not needing corrective shoes = 1 - 0.08 = 0.92
Probability of employee not needing dental work = 1 - 0.15 = 0.85
The probability that an employee will need either corrective shoes or major dental work = (0.08×0.85) + (0.15×0.92) = 0.068 + 0.138 = 0.206 = 20.6%
The probability that an employee will need either corrective shoes or dental work = 0.206.
Please note that the word "either" implies that we must choose one of the two options (corrective shoes or dental work) and not both.
The probability that an employee selected at random will need either corrective shoes or major dental work is 0.206.
Calculation of the probability:
Since
The exams showed that 8% of the employees needed corrective shoes, 15% needed major dental work, and 3% needed both corrective shoes and major dental work.
So,
Probability of employee not needing corrective shoes should be
= 1 - 0.08
= 0.92
And,
Probability of employee not needing dental work should be
= 1 - 0.15
= 0.85
So final probability should be
= (0.08×0.85) + (0.15×0.92)
= 0.068 + 0.138 = 0.206
= 20.6%
hence, The probability that an employee selected at random will need either corrective shoes or major dental work is 0.206.
Learn more about probability here; https://brainly.com/question/24442276
