Question

Assume that x is a binomial random variable with n = 100 and p = 0.4. Use a normal approximation to find each of the following probabilities. a. P(x ? 37) b. P(35 ? x ? 45) c. P(x ? 40) a. P(x ? 37) = (Round to four decimal places as needed.) b. P(35 ? x ? 45) = (Round to four decimal places as needed.) c. P(x ? 40) = (Round to four decimal places as needed.)

          Assume that x is a binomial random variable with n = 100 and p = 0.4. Use a normal approximation to find each of the following probabilities.
a. P(x ? 37)
b. P(35 ? x ? 45)
c. P(x ? 40)
a. P(x ? 37) =
(Round to four decimal places as needed.)
b. P(35 ? x ? 45) =
(Round to four decimal places as needed.)
c. P(x ? 40) =
(Round to four decimal places as needed.)

Assume that x is a binomial random variable with n = 100 and p = 0.4. Use a normal approximation to find each of the following probabilities.
a. P(x ? 37)
b. P(35 ? x ? 45)
c. P(x ? 40)
a. P(x ? 37) =
(Round to four decimal places as needed.)
b. P(35 ? x ? 45) =
(Round to four decimal places as needed.)
c. P(x ? 40) =
(Round to four decimal places as needed.)

Added by Brittany P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

07/31/2023

Step 1

Mean (μ) = np = 100 * 0.4 = 40 Standard deviation (σ) = √(np(1-p)) = √(100 * 0.4 * 0.6) = √(24) ≈ 4.89898 Show more…

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Assume that x is a binomial random variable with n = 100 and p = 0.4. Use normal approximation to find each of the following probabilities: a. P(x ≤ 37) b. P(35 ≤ x ≤ 45) c. P(x ≥ 40)