The time it takes to preform a task has a continuous uniform distribution between 43 min...
The time it takes to preform a task has a continuous uniform distribution between 43 min and 57 min. What is the the probability it takes between 51.4 and 54.5 min. Round to 4 decimal places. P(51.4 < X < 54.5) can you explain this too please
Homework Answers
Ans:
Uniform distribution with a=43 min and b=57 min
P(X<=x)=(x-a)/(b-a)
probability that it takes between 51.4 and 54.5 min=P(51.4<X<54.5)
=P(X<=54.5)-P(X<=51.4)
=(54.5-43)/(57-43)-(51.4-43)/(57-43)
=(54.5-51.4)/(57-43)
=0.2214
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