Find the reciprocals of the following numbers: 8, 2/7 , 1 1/5 , 0.3.
1 answer:
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Answer: The percentile is 89
Step-by-step explanation:
This question can be solved using concept for t tables
In a normal distribution the curve.
The relationship between z score, mean and standard deviation is given by
So the z value according to this is given by the formula
From the z table we can infer that p value for z=+1.217 is 88.82
So 1750 is 89th percentile
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Answer:
26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg
Step-by-step explanation:
When the distribution is normal, we use 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.
If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?
Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.
When we subtract normal distributions, the mean is the subtraction of the means. So
The standard deviation is the square root of the sum of the variances. So
Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So
has a pvalue of 0.7389
1 - 0.7389 = 0.2611
26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg