If two fair dice (with faces numbered 1,2,3,4,5,6) are tossed together, what is the probability that the total score will be a p
1 answer:
Answer:
Step-by-step explanation:
There are non-distinct sums that can be achieved when rolling two fair sided dice.
The smallest of these sums is and the largest of these sums is
. Within this range, there exists only one perfect cube,
.
Count how many ways we can achieve a sum of 8 with two dice:
Thus the probability the total score (sum) will be a perfect cube when rolling two fair six-sided dice is equal to
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Answer:
0.0764
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What proportion of boxes is underweight (i.e., weigh less than 32 oz)?
This is the pvalue of Z when X = 32. So
has a pvalue of 0.0764, which is the correct answr