A 4th degree polynomial will have at most 3 extreme values. Since the degree is even, there will be one global extreme, with possible multiplicity. The remainder, if any, will be local extremes that may be coincident with each other and/or the global extreme.
(The number of extremes corresponds to the degree of the derivative, which is 1 less than the degree of the polynomial.)
The value of P(R = 3) is 0.2854
<h3>Probability</h3>Probabilities are used to determine the chances of events.
The given parameters are:
The probability that the ball lands on a red slot is calculated as:
Simplify
The probability that the ball does not land on a red slot is calculated as:
Simplify
The value of P(R = 3) is then calculated using the following binomial probability formula
Where:
So, we have:
Hence, the value of P(R = 3) is 0.2854
Read more about probabilities at: