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Let X have a binomial distribution with parameters n = 25 and p. Calculate each of the...

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Question

Basic Math

Let X have a binomial distribution with parameters

n = 25

and p. Calculate each of the following probabilitiesusing the normal approximation (with the continuity correction) forthe cases

p = 0.5, 0.6, and 0.8

and compare to the exact binomial probabilities calculateddirectly from the formula for

b(x; n, p).

(Round your answers to four decimal places.)

P(20 ≤ X)

p

P(20 ≤ X)

P(19.5 ≤ Normal)

0.5
0.6
0.8

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