Question

2. Maintenance of postal trucks is an important focus of the plant from Q1 to assure safety. An engineering assessment found that the probability of a postal truck brake failure is 3%. The assessment also found that of all instances of when brake failure has occurred, 87% are due to driver negligence. However, even when no failure occurs, there is still a 6% probability that the driver was negligent in maintenance, what is the probability of brake failure given that the operator was negligent?

Answer 1

answer:

given data,

• the probability of the postal truck brake is the failure as the 3%
• the driver negligence is 87%
• the driver as the negligent in the maintenance is 6%

to find the probability of the brake the failure of the given that operator was the negligent is .....?

• the probability is show in the below step by by
• here we are know as the value is already

$\Rightarrow$the probability of the Out of this, 87% due to the operator are as negligence

$\Rightarrow$ 3*87

$\Rightarrow$261

$\Rightarrow$261/100

$\Rightarrow$2.61

$\Rightarrow$ 2.61%.....................(a)

$\Rightarrow$the probability of the Out of rest is

$\Rightarrow$100-87 = 13%,

$\Rightarrow$the 3% is the probability is the  operator as the negligent is

$\Rightarrow$ 3%13%*6%

$\Rightarrow$234/10000

$\Rightarrow$0.0234

$\Rightarrow$ 0.0234%.......................(b)

now the probability of the adding is below,

$\Rightarrow$the Adding is  (a) & (b)

$\Rightarrow$ 2.61% + 0.0234%

$\Rightarrow$2.6334%

$\Rightarrow$ there fore 2.6334 %

so finally the probability is

2.6334%