Assume that 35% of all patients in ER have COVID. Consider a random sample of 90...

Assume that 35% of all patients in ER have COVID. Consider a random sample of 90 patients and let X denote the number among these that have COVID.

What is the probability that X is between 15 and 25 (inclusive)? What is the exact answer (use the pmf table)? What would the normal approximation predict? (You Should do this calculation by hand)? How close are these?

Expert Solution

a.

b.

Mu = n*p = 31.25

Sigma = √n*p*q = 4.525

Both probabilities are almost same

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