2.4.42. A dashboard warning light is supposed to flash red if a car’s oil pressure is too low. On a certain model, the probability of the light flashing when it should is 0.99; 2% of the time, though, it flashes for no apparent reason. If there is a 10% chance that the oil pressure really is low, what is the probability that a driver needs to be concerned if the warning light goes on?

The probability that a driver needs to be concerned if the warning light goes on is 0.8462.

Step-by-step explanation:

The conditional probability of an X given that another event Y has already occurred is:

The law of total probability states that:

Denote the events as follows:

A = the light flashes

B = the oil pressure is low.

Given:

Compute the probability that the light flashes using the law of total probability as follows:

Compute the probability that the oil pressure is low given that the light flashes as follows:

Thus, the probability that a driver needs to be concerned if the warning light goes on is 0.8462.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

-2 is the right