Answer:
C.
Step-by-step explanation:
Consider the eparent function The graph of this function is shown in the attached diagram - red curve.
Reflect this graph across the y-axis, you'll get the blue line which equation is
Translate this graph 1 unit down, then you'll get green line (that is exactly the graph from your image) and the function for this line is
The formula for E(x) would be SUM[ X(n)P(n)] from n = 1 to n = infinity until we get the prime number
In the given problem, a 10-sided die with 1-10 numbers is rolled until we get a prime number
Prime numbers between 1-10 = 2,3,5,7 (4 prime numbers)
Non - prime numbers = 1,4,6,8,9,10( 6 non-prime number)
Let X be the number of times the die is rolled
The probability of getting a prime =
Now, the value of
E(X)=∑x.P(x) [ x-> {1, infinity}]
= P(1)X(1) +P(2)X(2)+P(3)X(3)+P(4)X(4)........+ P(n)X(n)
= 1. + 2.
.
+ 3.
.
+ 4.
.
.
.
.......
Hence, this is the value of E(x)
To learn more about Prime number, here
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