Question
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. 76%
B. 19/ 25
C. 0.76
D. 24%
A. 76%
B. 19/ 25
C. 0.76
D. 24%
Answers
GPT 3.5
The empirical probability of getting heads can be calculated by taking the number of times heads occurred (50 - 12 = 38) divided by the total number of tosses (50).
Empirical Probability of Heads = 38/50 = 0.76
So the answer is C. 0.76, which is equal to 76%.
Empirical Probability of Heads = 38/50 = 0.76
So the answer is C. 0.76, which is equal to 76%.
a quality controller inspected 1000 units of a product and rejected 150 units due to defects. approximate the empirical probability that a unit will pass the inspection.
A. 17/20
B. 0.15%
C. 1.5%
D. 3/20
A. 17/20
B. 0.15%
C. 1.5%
D. 3/20
GPT 3.5
The empirical probability that a unit will pass the inspection can be calculated by taking the number of units that passed (1000 - 150 = 850) divided by the total number of units inspected (1000).
Empirical Probability of Passing = 850/1000 = 0.85 = 85%
So, the answer is not listed with a percentage form, but it is A. 17/20.
Empirical Probability of Passing = 850/1000 = 0.85 = 85%
So, the answer is not listed with a percentage form, but it is A. 17/20.
in which scenario is the experimental probability equal to the theoretical probability?
A. A coin is flipped six times and the head appears four times.
B. A coin is flipped six times and the head appears three times
C. A coin is flipped six times and the head appears each time
D. A coin is flipped six times and the head appears five times
A. A coin is flipped six times and the head appears four times.
B. A coin is flipped six times and the head appears three times
C. A coin is flipped six times and the head appears each time
D. A coin is flipped six times and the head appears five times
GPT 3.5
In theoretical probability, the probability of getting a head on a fair coin flip is 0.5 (50%).
For each coin flip, the theoretical probability of getting a head is 0.5. When the coin is flipped six times, the theoretical probability of getting a head each time is:
(0.5) * (0.5) * (0.5) * (0.5) * (0.5) * (0.5) = 0.5^6 = 1/64
In this case, scenario C, where the head appears each time, has the experimental probability (what occurs in the experiment) equal to the theoretical probability.
For each coin flip, the theoretical probability of getting a head is 0.5. When the coin is flipped six times, the theoretical probability of getting a head each time is:
(0.5) * (0.5) * (0.5) * (0.5) * (0.5) * (0.5) = 0.5^6 = 1/64
In this case, scenario C, where the head appears each time, has the experimental probability (what occurs in the experiment) equal to the theoretical probability.
as a part of a promotion, people who participate in a survey are sent a free coupon for one of the three winter activities: skiing, snow tubing, or sleigh rides. participants have an equal chance of receiving each type of coupon. if 900 people participate, how many would be expected to receive a coupon for sleigh rides?
A. 600
B. 300
C 2/3
D. 450
A. 600
B. 300
C 2/3
D. 450
GPT 3.5
Since participants have an equal chance of receiving each type of coupon, the probability of receiving a coupon for sleigh rides is 1/3.
To calculate the number of people who would be expected to receive a coupon for sleigh rides, we multiply the total number of participants by the probability:
Expected number of people receiving a sleigh ride coupon = 900 * 1/3 = 300
Therefore, the answer is B. 300 people are expected to receive a coupon for sleigh rides.
To calculate the number of people who would be expected to receive a coupon for sleigh rides, we multiply the total number of participants by the probability:
Expected number of people receiving a sleigh ride coupon = 900 * 1/3 = 300
Therefore, the answer is B. 300 people are expected to receive a coupon for sleigh rides.