Question

A developed car in the workshop comprises of around 70 components. Each
component has a probability of having a manufacturing error of 0.015. What is the
probability that this developed car will get rejected due to manufacturing error in
any of the component?​

Answer 1

Answer:

1.05

Step-by-step explanation:

No. of components = 70

Probability of having error per component = 0.015

Probability of getting rejected due to the errors = 0.015 * 70

                                                                               = 1.05

Answer 2

Answer:

Probability of car getting rejected = 0.0152284.

Step-by-step explanation

Probability of the each components of getting manufacturing error is equal to 0.015.

The CAR will get rejected if 'anyone' OR 'more' components is/are defected.

The probability of the CAR of  getting rejected due to manufacturing error =(one component defected) +(two component defected) + (three component defected) +....

(Here,  '+' sign implies the 'OR' condition.)

The probability of the CAR of  getting rejected due to manufacturing error =0.015+(0.0.15)(0.0.15)+(0.0.15)(0.0.15)(0.0.15)+......

Summation of infinite GP=$\frac{a}{1-r}$.

where, a is the first term and r is the common ratio.

∴PROBABILITY=$\frac{0.015}{1-0.015}$=0.0152284.