In: Math
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) |
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0.5 | ||||||||||||||||||||||
0.6 | ||||||||||||||||||||||
0.8 (B)P(X ≤ 15)
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