Question

Find to 4 decimal places the following binomial probabilities using the normal approximation. a. n = 160, p = 0.48, P(x = 78) P(x = 78) = b. n = 100, p = 0.53, P(54 ? x ? 62) P(54 ? x ? 62) = c. n = 90, p = 0.44, P(x ? 37) P(x ? 37) = d. n = 108, p = 0.72, P(x ? 74) P(x ? 74) =

          Find to 4 decimal places the following binomial
probabilities using the normal approximation.
a. n = 160, p = 0.48, P(x = 78)
P(x = 78) =
b. n = 100, p = 0.53, P(54 ? x ? 62)
P(54 ? x ? 62) =
c. n = 90, p = 0.44, P(x ? 37)
P(x ? 37) =
d. n = 108, p = 0.72, P(x ? 74)
P(x ? 74) =

Find to 4 decimal places the following binomial
probabilities using the normal approximation.
a. n = 160, p = 0.48, P(x = 78)
P(x = 78) =
b. n = 100, p = 0.53, P(54 ? x ? 62)
P(54 ? x ? 62) =
c. n = 90, p = 0.44, P(x ? 37)
P(x ? 37) =
d. n = 108, p = 0.72, P(x ? 74)
P(x ? 74) =

Added by Jackie B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Naresh Bagrecha

Step 1

The mean of the binomial distribution is given by μ = np, and the standard deviation is given by σ = √(np(1-p)). In this case, n = 160 and p = 0.48. So, μ = 160 * 0.48 = 76.8 and σ = √(160 * 0.48 * (1-0.48)) = 6.928. To use the normal approximation, we need to Show more…

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Find to 4 decimal places the following binomial probabilities using the normal approximation. a. n = 160, p = 0.48, P(x = 78) P(x = 78) = i b. n = 100, p = 0.53, P(54 < x < 62) P(54 < x < 62) = i c. n = 90, p = 0.44, P(x < 37) P(x < 37) = i d. n = 108, p = 0.72, P(x > 74) P(x > 74) = i