P(X≤a)=0.75 What is the value of a?

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Answer 1 · 2018-03-19T10:25:32

#a=4#

we see from the diagram that the total probability is

#(5-1)xx0.25=4xx0.25=1#

so we can conclude that this diagram represents a continuous uniform distribution

we want #a "such that "P(X<=a)=0.75#

now #1 < a <5#

since we want #P(X<=a)#the are required is on the #LHS# of #a#

#:.(a-1)xx0.25=0.75#

#a-1=0.75/0.25=3#

#:.a=3+1=4#