a kilobyte is equal to 10 to the power of 3 bytes. write 10 to the power of 3 as a product of the same factor. then find the val
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Answer:
0.1151 = 11.51% probability of completing the project over 20 days.
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.
Expected completion time of the project = 22 days.
Variance of project completion time = 2.77
This means that
What is the probability of completing the project over 20 days?
This is the p-value of Z when X = 20, so:
has a p-value of 0.1151.
0.1151 = 11.51% probability of completing the project over 20 days.
Given:
The sum of three numbers is 12 .
The sum of twice the first number, 3 times the second number, and 4 times the third number is 37 .
The difference between 7 times the first number and the second number is 25.
To find:
The three number.
Solution:
Let the three numbers are x, y and z respectively.
According to the question,
...(i)
...(ii)
...(iii)
From (iii), we get
Put value in (i).
...(iv)
Put value in (ii).
...(v)
Now, Multiply equation (iv) by 4 and subtract the result from (v).
Put x=4 in (iv).
Put x=4 in .
Therefore, the three numbers are 4, 3 and 5 respectively.