Probability distributions? ? do anyone know how to find probabilities? ?

Probability of more than 3 = 0.25

Solution:

Given table shows the pitches, frequency and probability of pitches.

P(x = 1) = 0.15, P(x = 2) = 0.2, P(x = 3) = 0.4, P(x = 4) = 0.15, P(x = 5) = 0.1

To find the probability that the pitcher will throw more than 3 pitches.

Probability of more than 3 pitches = P(x > 3)

                                                         = P(x = 4) + P(x = 5)

                                                         = 0.15 + 0.1

                                                         = 0.25

                                            P(x > 3) = 0.25

Hence the probability that the pitcher will throw more than 3 pitches to a batter is 0.25.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

thus, the first answer choice, y = sec x, is the correct one