Question

a company manufactures eyeglasses for different retailers. the number of days it takes to fix defects in an eyeglass and the probability that it will take that number of days are in the table.
state the random variable.
the type of defect.
the probability that the defect occurs.
the number of days to fix the defect.
draw a histogram of the number of days to fix defects

Explanation:

Step1: Define random variable

A random variable is a variable whose value is the outcome of a random phenomenon. Here, the data is about the number of days to fix a defect and its probabilities. So the random - variable is the quantity that can take on different values randomly.

Step2: Analyze options

The type of defect is not what the table is about. The probabilities are given, but the random variable is not the probability itself. The table shows the number of days to fix a defect and its associated probabilities, so the random variable is the number of days to fix the defect.

Step3: Analyze histograms (conceptually)

A histogram for the number of days to fix defects should have the number of days on the x - axis and the probabilities on the y - axis. The first histogram seems to have the correct general shape where the probabilities are highest around a certain number of days and decrease as the number of days moves away from that value.

Answer:

The number of days to fix the defect.
The first histogram (top - most one among the given histograms) is likely the correct one for the distribution of the number of days to fix defects as it has the number of days on the x - axis and probabilities on the y - axis and shows a reasonable distribution pattern.