Question

Use the probability distribution graph to answer the question.

P(X≤a)=0.6

What is the value of a?



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Answer 1

Answer: The value of a must be '5'.

Step-by-step explanation:

Since we have given that

P(X≤a)=0.6

That means the value of area under the curve 'a' is 0.6.

So, We start adding the values for a to approach 0.6.

i.e.

P=0.05 upto a = 1

P= 0.1 upto a = 2

P = 0.15 upto a= 3

P = 0.2 upto a = 4

P= 0.2 upto a = 5

So, we get that

$P=0.05+0.1+0.15+0.2+0.2=0.7$

So, At a = 5, we get  

P(X≤a)=0.6

Hence, the value of a must be '5'.