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 bot
475/500 or 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) bot
The empirical probability of getting heads is 76%, or 38/50.
Explanation:
If you got 12 tails out of 50 tosses, then you must have gotten 38 heads. Empirical probability is calculated by dividing the number of times the event of interest occurred (in this case, getting heads) by the total number of trials (50).
38/50 can be simplified to 76% by dividing the numerator and denominator by 2:
38/50 = (2*19)/(2*25) = 19/25 = 0.76 = 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) bot
The empirical probability that a unit will pass the inspection is 85%, or 0.85.
Explanation:
If 150 units were rejected due to defects out of 1,000 inspected units, then the number of units that passed the inspection is 1,000 - 150 = 850. Empirical probability is calculated by dividing the number of successful outcomes (in this case, passing the inspection) by the total number of outcomes (1,000).
So, the empirical probability of a unit passing inspection is:
850/1,000 = 0.85 = 85%