A calculator manufactturing company checks 500 caculator 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.
The relative frequency of a non-defective unit can be calculated by subtracting the number of defective units from the total number of units, then dividing by the total number of units:
(500 - 25) / 500 = 475 / 500
To simplify the fraction, we can divide both the numerator and denominator by 25:
475 / 500 = 19 / 20
Therefore, the relative frequency of a non-defective unit from this batch of items is 19/20.
Apologies for the oversight. The closest answer to the calculated probability of 0.85 would be:
B. 17/20
So, the answer is:
B. 17/20
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You toss a coin 50 times and get 12 tails. What is the empirical probability of getting heads? Write your answer in percent form.
A. 19/25
B. 24%
C. 76%
D. 0.76
To find the empirical probability of getting heads, you can count the number of times you got heads during the 50 tosses and divide it by the total number of tosses. Since you got 12 tails, the number of heads would be 50 - 12 = 38.
Empirical probability of getting heads = Number of heads / Total number of tosses
Empirical probability of getting heads = 38 / 50
Empirical probability of getting heads = 0.76
The probability is 0.76, which is equivalent to 76%. Therefore, the answer is:
C. 76%
A quality controller inspected 1,000 units of a product and rejected 150 units due to defects. Approximate the empirical probablility that a unit will pass the inspection.
A. 1.5%
B. 17/20
C. 0.15%
D. 3/20
To find the empirical probability that a unit will pass the inspection, we need to subtract the number of rejected units from the total number of units and then divide by the total number of units.
Number of units that passed inspection = Total number of units - Number of rejected units
Number of units that passed inspection = 1000 - 150 = 850
Empirical probability of passing inspection = Number of units that passed inspection / Total number of units
Empirical probability of passing inspection = 850 / 1000
Empirical probability of passing inspection = 0.85
The probability is 0.85, which is equivalent to 85%. Therefore, the answer is not among the options given.