You consider yourself a bit of an expert at playing rock-paper-scissors and estimate that the probability that you win any given game is 0.5. in a tournament that consists of playing 60 games of rock-paper-scissors let x be the random variable that is the of number games won. assume that the probability of winning a game is independent of the results of previous games. you should use the normal approximation to the binomial to calculate the following probabilities. give your answers as decimals to 4 decimal places. a)find the probability that you win at least 35 of the games. p(x ≥ 35) =b)find the probability that you win less than 27 games. p(x < 27) =c)find the probability that you win between 30 and 40 games. p(30 ≤ x ≤ 40) =

a) 0.37

b) 0.421

c) 0.25

Step-by-step explanation:

Since the probability of winning a game is binomial (P = 0.5) the expected value for number of winning when you play 60 games is

And the standard deviation:

a) the cumulative probability of winning at least 35 games is

b)

c)

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph