Question

Assume that X is a binomial random variable with n = 12 and p = 0.90....

Assume that X is a binomial random variable with n = 12 and p = 0.90. Calculate the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.

a. P(X = 11)
b. P(X = 10)
c. P(X ≥ 10)

Homework Answers

Answer #1

P(X = x) = 12Cx * 0.9x * (1 - 0.9)12-x

a) P(X = 11) = 12C11 * 0.911 * 0.11 = 0.3766

b) P(X = 10) = 12C10 * 0.910 * 0.12 = 0.2301

c) P(X > 10) = P(X = 10) + P(X = 11) + P(X = 12)

                    = 12C10 * 0.910 * 0.12 + 12C11 * 0.911 * 0.11 + 12C12 * 0.912 * 0.10

                    = 0.8891

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Assume that X is a binomial random variable with n = 15 and p = 0.78....
Assume that X is a binomial random variable with n = 15 and p = 0.78. Calculate the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) Assume that X is a binomial random variable with n = 15 and p = 0.78. Calculate the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a. P(X = 14) b. P(X = 13) c. P(X ≥ 13)
Let X represent a binomial random variable with n = 180 and p = 0.25. Find...
Let X represent a binomial random variable with n = 180 and p = 0.25. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a. P(X ≤ 45) b. P(X = 35) c. P(X > 55) d P(X ≥ 50)
Let X represent a binomial random variable with n = 180 and p = 0.25. Find...
Let X represent a binomial random variable with n = 180 and p = 0.25. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a. P(X ≤ 45) b. P(X = 35) c. P(X > 55) d P(X ≥ 50)
Let X represent a binomial random variable with n = 360 and p = 0.82. Find...
Let X represent a binomial random variable with n = 360 and p = 0.82. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places. Probability a. P(X ≤ 290) b. P(X > 300) c. P(295 ≤ X ≤ 305) d. P(X = 280)
Let X represent a binomial random variable with n = 170 and p = 0.6. Find...
Let X represent a binomial random variable with n = 170 and p = 0.6. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) Probability a.P(X ≤ 100) b.P(X > 110) c.P(105 ≤ X ≤ 115) d.P(X = 90)
Suppose that x is a binomial random variable with n = 5, p = .56, and...
Suppose that x is a binomial random variable with n = 5, p = .56, and q = .44. (b) For each value of x, calculate p(x). (Round final answers to 4 decimal places.) p(0) =0.0164 p(1) =0.1049 p(2) =0.2671 p(3) =0.3399 p(4) =0.2163 p(5) =0.0550 (c) Find P(x = 3). (Round final answer to 4 decimal places.) P(x = 3) 0.3399selected answer correct (d) Find P(x ≤ 3). (Do not round intermediate calculations. Round final answer to 4 decimal...
Assume that X is a Poisson random variable with μ = 28. Calculate the following probabilities....
Assume that X is a Poisson random variable with μ = 28. Calculate the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a. P(X ≤ 16) b. P(X = 20) c. P(X > 23) d. P(25 ≤ X ≤ 34)
Let X be a binomial random variable with n = 100 and p = 0.2. Find...
Let X be a binomial random variable with n = 100 and p = 0.2. Find approximations to these probabilities. (Round your answers to four decimal places.) (c)    P(18 < X < 30) (d)    P(X ≤ 30)
Let X be a binomial random variable with n = 8, p = 0.4. Find the...
Let X be a binomial random variable with n = 8, p = 0.4. Find the following values. (Round your answers to three decimal places.) (a)     P(X = 4) (b)     P(X ≤ 1) (c)     P(X > 1)
Assume that X is a Poisson random variable with μ = 39. Use Excel’s function options...
Assume that X is a Poisson random variable with μ = 39. Use Excel’s function options to find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a. P(X ≤ 34) b. P(X = 36) c. P(X > 39) d. P(38 ≤ X ≤ 43)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT