On a science quiz, David got 45 out of 70 items correct. What is the empirical probability of his incorrect responses? Write your answer in the simplest form of a fraction.(1 point)
The number of incorrect responses is 70 - 45 = 25.
Therefore, the empirical probability of David's incorrect responses is 25/70, which can be simplified to 5/14.
A calculator manufacturing company checks 500 calculator units, and 25 of them have non-functioning keys. Approximate the relative frequency of a non-defective unit from this batch of items. Express your answer in the simplest form of a fraction.(1 point)
Responses
1920
Start Fraction 19 over 20 End Fraction
475500
Start Fraction 475 over 500 End Fraction
120
Start Fraction 1 over 20 End Fraction
25500
The number of defective units is 25 out of 500 units checked.
The number of non-defective units would be 500 - 25 = 475.
Therefore, the relative frequency of a non-defective unit is 475/500, which simplifies to 19/20.
You toss a coin 50 times and get 12 tails. What is the empirical probability of getting heads? Write your answer in percent form.(1 point)
Responses
0.76
0.76
1925
Start Fraction 19 over 25 End Fraction
76%
76%
24%
In a series of 50 coin tosses, if you got 12 tails, then the number of heads obtained would be 50 - 12 = 38.
Therefore, the empirical probability of getting heads is 38/50 = 0.76, which can be represented in percentage form as 76%.
A quality controller inspected 1,000 units of a product and rejected 150 units due to defects. Approximate the empirical probability that a unit will pass the inspection.(1 point)
Responses
1.5%
1.5%
1720
Start Fraction 17 over 20 End Fraction
320
Start Fraction 3 over 20 End Fraction
0.15%
0.15%
The number of units passing the inspection would be 1000 - 150 = 850 units.
Therefore, the empirical probability that a unit will pass the inspection is 850/1000 = 0.85 or 85%.