a) The probability that less than $20 is collected is given by: Find P(Y< 20) = 0.31 = 31%.
b) The probability that at least $20 is collected is given by: P(Y ≥ 20) = 0.69 = 69%.
How to calculate the probabilities?The probabilities in this problem are called from the discrete distribution, defined as follows:
P(Y = 0) = 0.02.P(Y = 5) = 0.05.P(Y = 10) = 0.08.P(Y = 15) = 0.16.P(Y = 20) = 0.27.P(Y = 25) = 0.42.Then the probability that less than $20 is collected is obtained as follows:
P(Y < 20) = P(Y = 0) + P(Y = 5) + P(Y = 10) + P(Y = 15).
Replacing the values from the table, the probability is obtained as follows:
P(Y < 20) = 0.02 + 0.05 + 0.08 + 0.16 = 0.31 = 31%.
Less than $20 and at least $20 being collected are complementary events, hence:
P(Y ≥ 20) = 1 - 0.31 = 0.69 = 69%.
More can be learned about probabilities at https://brainly.com/question/14398287
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TRUE or FALSE: Conservatism opposed liberalism and socialism.
Answer:
False
Explanation:
Conservatism:
The disposition to preserve or restore what is established and traditional and to limit change.
Liberalism:
A political or social philosophy advocating the freedom of the individual, parliamentary systems of government, nonviolent modification of political, social, or economic institutions to assure unrestricted development in all spheres of human endeavor, and governmental guarantees of individual rights and civil liberties.
Socialism:
A theory or system of social organization that advocates the vesting of the ownership and control of the means of production and distribution, of capital, land, etc., in the community as a whole.
Taking a look at these, we can see that the answer would be false.
