Given:
Radius of the circle = 6 inches
Central angle = 75 degrees.
To find:
The length of subtended arc, i.e., x.
Solution:
The formula for arc length is:
Where, r is the radius and is the central angle.
Putting in the above formula, we get
Therefore, the value of x is 7.9 inches.
Answer:
The expected number of times is 4.
Step-by-step explanation:
Looking at the question, we see that this follows a geometric distribution because it is asking for the expected number of trials hat will bring about the FIRST SUCCESS. The probability of success is
Since it is a geometric distribution, we know that the expected value of a random variable X, E(X) that follows a geometric distribution is given as:
E(X) = 1/p where p is the probability of success.
Therefore, the expected number of times will be
E(X) = 1/(1/p) = 1/(1/4) = 4.
Hence, the expected number of times is 4.