An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (1)
Identify the probabilities for selecting 12, 13, and 14 girls from the table.
Add the probabilities: 0.006 + 0.001 + 0.000 .
The sum is 0.007 .
The probability of selecting 12 or more girls is 0.007 .
Explanation
Understand the problem and provided data We are given a table that shows the probability of selecting a certain number of girls from a sample of 14 newborn babies. The question asks us to find the probability of selecting 12 or more girls. This means we need to find the probability of selecting 12, 13, or 14 girls.
Define the calculation To find the probability of selecting 12 or more girls, we need to add the probabilities of selecting exactly 12 girls, exactly 13 girls, and exactly 14 girls. We can write this as: P ( x ≥ 12 ) = P ( x = 12 ) + P ( x = 13 ) + P ( x = 14 ) where x is the number of girls selected.
Find the required probabilities from the table Now, we look at the table to find the probabilities for x = 12 , x = 13 , and x = 14 :
P ( x = 12 ) = 0.006 P ( x = 13 ) = 0.001 P ( x = 14 ) = 0.000
Calculate the final probability Now we add these probabilities together: P ( x ≥ 12 ) = 0.006 + 0.001 + 0.000 = 0.007 So, the probability of selecting 12 or more girls is 0.007.
Examples
This type of probability calculation can be used in various real-world scenarios, such as quality control in manufacturing. For example, a factory producing light bulbs might randomly select a sample of bulbs to test for defects. By calculating the probability of finding a certain number of defective bulbs in the sample, they can assess the overall quality of their production process and make necessary adjustments. Similarly, in medical research, this can be applied to determine the likelihood of a certain number of patients experiencing side effects from a new drug.
