Permutation question pictured! Thanks :)
1 answer:
Answer:
3,160,080
Step-by-step explanation:
- The first place can be taken by any one of the 22 students.
- The second place can be taken by any one of the remaining 21 students.
- The third place can be taken by any one of the remaining 20 students.
- The fourth place can be taken by any one of the remaining 19 students.
- The fifth place can be taken by any one of the remaining 18 students.
<em>This basically means multiplying 22, 21, 20, 19, and 18. Or, the number of permutation of 22 things taken 5 at a time.</em>
The answer is 22*21*20*19*18 = 3,160,080
<em>Using formula </em>
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Answer:
The 90th percentile of the distribution is 6.512 ml.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.
This means that
Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.
This is X when Z has a p-value of 0.9, so X when Z = 1.28. Then
The 90th percentile of the distribution is 6.512 ml.