What is StartAbsoluteValue 8 EndAbsoluteValue?
2 answers:
The absolute value of 8 that is |8| is equal to 8.
We have given that,
|8|
We have to determine the value of |8|.
<h3>What is the absolute value?</h3>The absolute value or modulus of a real number x denoted |x|, is the non-negative value of x without regard to its sign. Namely, if x is a positive number, and
if x is negative, and
.
Absolute values only find the true distance of a number from 0. Distance is always positive, so the absolute value of anything is always positive.
|8| = 8
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We have been given for a normal distribution the mean time it takes to walk to the bus stop is 8 minutes with a standard deviation of 2 minutes. And the mean time it takes for the bus to get to school is 20 minutes with a standard deviation of 4 minutes.
(a) Average time that it would take reach school can be obtained by adding the average times.
8+20 = 28 minutes.
(b) Standard deviation of the trip to school can be found as:
Therefore, standard deviation of the entire trip is 4.47 minutes.
(c) Let us first find z score corresponding to 30 minutes.
We need to find the probability such that
Therefore, the required probability is 0.67.
(d) If average time to walk to school is 10 minutes, then overall average time for the trip will be 10+20 = 30 minutes.
(e) Standard deviation won't change it will remain 4.47
(f) The new probability will be:
Therefore, probability will be 0.50.