If the annual proportion of erroneous income tax returns filed with the irs can be looked upon as a random variable having a beta distribution with α = 2 and β = 9, what is the probability that in any given year there will be fewer than 10 percent erroneous returns?

The probability that in any given year there will be fewer than 10 percent erroneous returns is P(x≤0.1)=0.264.

Step-by-step explanation:

For a beta distribution with α = 2 and β = 9, we need to use a calculator to compute the probabilities.

The probability that in any given year there will be fewer than 10 percent erroneous returns is P(x≤0.1)=0.264.

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.

The answer is 16.66 i'm pretty sure