The experimental probability is 1/6, and the theoretical probability is 1/4. The theoretical probability is greater than the experimental probability in this trial.-------------------Explanation:
Theoretical probability is the mathematically calculated probability of the circumstances occurring.
There is a 1/2 chance of rolling an even number, and a 1/2 chance of flipping a coin on heads.
Since the question asks for the possibility of both happening, multiply those together to find the probability:
The theoretical probability of rolling an even number and then flipping a head is 1/4.
Now we'll focus on Taka's trials.
Experimental probability is the probability that is taken from results of a trial.
Take the results, and see if they match the criteria of rolling an even number and flipping heads.
The results that are bolded fit the criteria:1 H, 4 T, 1 H, 5 T, 2 H, 3 T, 6 T, 2 H, 3 T, 5 T, 3 H, 4 T
Taka managed to roll and flip the coin to fit the criteria 2 times out of 12. Converted into a fraction, it is 2/12. Simplified, the experimental probability is 1/6
I think the answer to that is : 6x^2 - 41x - 56
But I’m not a 100% sure
The correction option is B, It is out of control as one of these data points is more than 3 standard deviations from the mean.
<h3>What is Normal Distribution?</h3>
The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
Given that the candy produced by a company has a sugar level that is normally distributed with a mean of 16.1 grams and a standard deviation of 0.9 grams. Therefore, the maximum and the minimum weight of the candy can be,
Maximum weight = Mean + 3(Standard deviation)
= μ + 3σ
= 16.1 + 3(0.9)
= 16.1 + 2.7
= 18.8
Minimum weight = Mean - 3(Standard deviation)
= μ - 3σ
= 16.1 - 3(0.9)
= 16.1 - 2.7
= 13.4
Since one of the reading point, 19.4 is more than 3 standard deviations from the mean, therefore, it can be concluded that the process is out of control.
Hence, It is out of control as one of these data points is more than 3 standard deviations from the mean.
Learn more about Normal Distribution here:
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Answer:
1,005 cubic centimeters
Step-by-step explanation:
