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

Let X have a binomial distribution with parameters

n = 25

and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for the cases

p = 0.5, 0.6, and 0.8

and compare to the exact binomial probabilities calculated directly from the formula for

b(x; n, p).

(Round your answers to four decimal places.)

(a)

P(15 ≤ X ≤ 20)

p

P(15 ≤ X ≤ 20)

P(14.5 ≤ Normal ≤ 20.5)
0.5
0.6

0.8

(B)P(X ≤ 15)

p

P(X ≤ 15)

P(Normal ≤ 15.5)
0.5
0.6

0.8

(C)P(20 ≤ X)

p

P(20 ≤ X)

P(19.5 ≤ Normal)
0.5
0.6
0.8


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Expert Solution

milcah answered 4 months ago
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