Question:

ComputeP(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. Ifso, approximateP(X) using the normal distribution and compare the result with the exact probability.

n=56, p=0.5, and X=26

I need help to solve this part of the question. Please include the breakdown.

ApproximateP(X) using the normal distribution. Use a standard normal distribution table.

This is how I solved, but the answer is incorrect:

P(X=26)P(25.5

Using X=28 and X=3.74, calculate the normalized values Z₀ and Z₁ corresponding to 25.5 and 26.5

Z₀ = 25.5 - 28/sqrt of 14 = -0.6681

Z₁= 26.5 - 28/sqrt of 14 = -0.4009

= -0.6684 - -0.4010 = -0.2672