Is part of the problem missing? There should be another set of numbers after -5+2n-11 so “n” can be isolated
Regroup to express the number in a different way.
2 answers:
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Answer:
a) The probability that the sample average amount of time taken on each day is at most 11 min.
P(X>11) = 0.2546
Step-by-step explanation:
<u>Step1:</u>-
Given data in a normal distribution with mean value 9 min and standard deviation 3 min.
Let 'X' be the amount of time taken on each day
Given x = 11 , μ=9min and σ=3min
by using normal distribution
Z = 0.66>0
<u>Step2:</u>-
The probability that the sample average amount of time taken on each day is at most 11 min.
P(X>11) = P(z>z₁) = 0.5-A(z₁) ( check diagram)
= 0.5 - A(0.66)
= 0.5 - 0.2454 ( check normal table)
= 0.2546
<u>Conclusion</u>:-
<u>The probability that the sample average amount of time taken on each day is at most 11 min.</u>
<u>P(X>11) = 0.2546</u>
