The expected value of the winnings from the game is $4
<h3>How to determine the expected value?</h3>The payout probability distribution is given as:
Payout ($) 2 4 6 8 10
Probability 0.5 0.2 0.15 0.1 0.05
The expected value is then calculated as:
This gives
E(x) = 2 * 0.5 + 4 * 0.2 + 6 * 0.15 + 8 * 0.1 + 10 * 0.05
Evaluate the expression
E(x) = 4
Hence, the expected value of the winnings from the game is $4
Read more about expected values at:
#SPJ1
Answer:
We are given the tangent function .
Firstly we know that, , where
is the sine function and
is the cosine function.
Now, tangent function will be zero when its numerator is zero.
i.e. when
.
i.e. when
, where n is the set of integers.
So, tangent function crosses x-axis at , n is the set of integers.
Further, tangent function will be undefined when its denominator is zero.
i.e. when
.
i.e. when
, where n is the set of integers.
Moreover, a zero in the denominator gives vertical asymptotes.
So, tangent function will have vertical asymptotes at , n is the set of integers.
Therefore, these key features gives us the graph of a tangent function as shown below.
