What is the answer for the question 20.x+90
1 answer:
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Answer:
0.6826 = 68.26% probability that you have values in this interval.
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.
X~N(8, 1.5)
This means that
What is the probability that you have values between (6.5, 9.5)?
This is the p-value of Z when X = 9.5 subtracted by the p-value of Z when X = 6.5. So
X = 9.5
has a p-value of 0.8413.
X = 6.5
has a p-value of 0.1587
0.8413 - 0.1587 = 0.6826
0.6826 = 68.26% probability that you have values in this interval.
Answer: (1) 2p: 5q.
(2) 3:10.
(3) 5:6.
Step-by-step explanation:
To find : Ratio
(1) 4p²q : 10pq²
i.e. Simplified ratio of 4p²q : 10pq² is 2p: 5q.
(2) 9 months : 2½ years
1 year = 12 months
Now, 9 months : 2½ years =
Hence, Simplified ratio of 9 months : 2½ years is 3:10.
(3) 5 m : 600 cm
1 m = 100 cm
So, 5m = 500 cm
Now, 5 m : 600 cm =
Hence, Simplified ratio of 5 m : 600 cm is 5:6.