Question

Let X represent a binomial random variable with n = 190 and p = 0.78. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a. P(X? 130) b. P(X> 160) c. P(135 ? X ? 165) d. P(X = 130) Probability

          Let X represent a binomial random variable with n = 190 and p = 0.78. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.)
a. P(X? 130)
b. P(X> 160)
c. P(135 ? X ? 165)
d. P(X = 130)
Probability

Let X represent a binomial random variable with n = 190 and p = 0.78. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.)
a. P(X? 130)
b. P(X> 160)
c. P(135 ? X ? 165)
d. P(X = 130)
Probability

Added by Whitney B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Hoan Nguyen

03/03/2024

Step 1

Mean (μ) = n * p = 190 * 0.78 = 148.2 Standard deviation (σ) = sqrt(n * p * (1 - p)) = sqrt(190 * 0.78 * 0.22) = sqrt(33.924) ≈ 5.8258 Show more…

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Let X represent a binomial random variable with n=190 and p=0.78. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) [ egin{array}{|c|c|} hline ext{Probability} & \ hline a. & P(X leq 130) \ b. & P(X > 160) \ c. & P(135 leq X leq 165) \ d. & P(X = 130) \ hline end{array} ]