Question

(b) A consulting firm rents car from three agencies such that 50% from agency L, 30%
from agency M and 20% from agency N. If 90% of the cars from L, 70% of cars
from M and 60% of cars from N are in good conditions (i) what is the probability
that the firm will get a car in good condition? (ii) if a car is in good condition, what
is probability that it has come from agency N?​

Answer 1

Therefore the probability that the firm will get a car good condition is=0.78

If a car is in good condition that it has come from agency N probability is

=$\frac{3}{25}$

Step-by-step explanation:

A consulting rents car from three agencies such that 50% from agency L, 30% from agency M and 20% from agency N.

Let total car be x

The good car in agency  L has = $\frac{50}{100} \times x \times \frac{90}{100}$

                                               $=\frac{9}{20} x$

The good car in agency M has =$\frac{30}{100} \times x \times \frac{70}{100}$        

                                                    $=\frac{21}{100} x$

The good car in agency N has=$\frac{20}{100} \times x \times \frac{60}{100}$

                                                 =$\frac{3}{25} x$

Total number of good car is $=\frac{9}{20} x+\frac{21}{100} x+\frac{3}{25} x$

                                          =   $\frac{78}{100} x$

(i)Therefore the probability that the firm will get a car good condition is

$=\frac{\frac{78}{100} x}{x}$  $=\frac{78}{100}$ = 0.78

(ii)

If a car is in good condition that it has come from agency N probability is

$=\frac{\frac{3}{25} x}{x}$ =$\frac{3}{25}$

Answer 2

Answer:

I am playing ff...........