What is the point probability
1 answer:
29.4% of the time, the point will be on the shaded region of the circle.
Step-by-step explanation:
Step 1:
To find the probability of any event we divide the number of favorable outcomes by the total number of outcomes.
Here the favorable outcome is the point being on the shaded region and the total number of outcomes is the point being on any point on the circle.
Suppose the circle is divided into 360 portions i.e. the angle of a circle is 360°.
Step 2:
The number of favorable outcomes = 106 (106° of the 360°).
The total number of outcomes = 360 (the entire 360°).
The probability of the point being on the shaded region =
This is equal to 29.444%. Rounding this off to the nearest tenth, we get 29.4%.
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Option C: np is the expression used for calculating the mean of a binomial distribution.
Explanation:
From the options, we need to determine the expression that is used for calculating the mean of a binomial distribution.
<u>Option A: npq</u>
The variance of the binomial distribution can be calculated using the expression npq.
Hence, Option A is not the correct answer.
<u>Option B: </u><u></u>
The standard deviation of the binomial distribution can be calculated using the expression
Hence, Option B is not the correct answer.
<u>Option C: np</u>
The mean of the binomial distribution can be calculated using the expression np
Hence, Option C is the correct answer.
<u>Option D</u>:
The mean of the binomial distribution cannot be determined using the expression
Hence, Option D is not the correct answer.