Use the probability distribution graph to answer the question.

p(x≤a)=0.6

what is the value of a?

enter your answer in the box.

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

So, At a = 5, we get  

P(X≤a)=0.6

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

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

part a: 1.08

part b: 27.59