In a batch of 280 water purifiers, 12 were found to be defective. What is the probability that a water purifier chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary

This is experimental probability.

If 12 were found to be defective out of 280 the experimental probability of a purifier being defective is:

12/280 which is:

4.3% (to nearest tenth of a percent)

Answer Link

pinquancaro pinquancaro · Answer 2 · 2019-11-01T04:44:54+01:00

Answer:

[tex]\text{Probability}=4.3\%[/tex]

Step-by-step explanation:

Given : In a batch of 280 water purifiers, 12 were found to be defective.

To find : What is the probability that a water purifier chosen at random will be defective? Write the probability as a percent.

Solution :

Total number of batch of purifiers = 280

Number of defective purifiers = 12

The probability that a water purifier chosen at random will be defective is given by,

[tex]\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}[/tex]

[tex]\text{Probability}=\frac{12}{280}[/tex]

[tex]\text{Probability}=\frac{3}{70}[/tex]

Converting into percentage,

[tex]\text{Probability}=\frac{3}{70}\times 100[/tex]

[tex]\text{Probability}=4.28\%[/tex]

Round to nearest tenths,

[tex]\text{Probability}=4.3\%[/tex]