Adie is rolled 360 times. let say that you want to use normal approximation to find the probability that the number of 4 was rolled exactly 100 times. you need to find the probability that x=100. explain how you would use continuity correction in this case.

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Step-by-step explanation:

Given that a die is rolled 360 times. Let say that you want to use normal approximation to find the probability that the number of 4 was rolled exactly 100 times.

Here we know that getting 4 is binomial with p = 1/6 and n =360

By approximating to normal after checking conditions are satisfied we have

X = no of fours obtained is normal

with mean =

and variance =

Std dev = 7.072

X is N(60, 7.072)

For finding out prob x=100 we have to do continuity correction as

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

i believe the answer is the polygon, heptagon.