Question

Let X be a binomial random variable with n = 15 and p = 0.6. Calculate...

Let X be a binomial random variable with n = 15 and p = 0.6. Calculate the following two probabilities, using an appropriate approximation method: • P(X = 4)

• P(7 ≤ X < 10)

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Let X be a binomial random variable with n = 15 and p = 0.6. Calculate...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Let x be a binomial random variable with n = 20 and p = 0.05. Calculate...

    Let x be a binomial random variable with n = 20 and p = 0.05. Calculate p(0) and p(1) using Table 1 to obtain the exact binomial probability. (Round your answers to three decimal places.) p(0) = p(1) = Calculate p(0) and p(1) using the Poisson approximation. (Round your answer to three decimal places.) p(0) = p(1) = Compare your results. Is the approximation accurate? No the approximation is not accurate. At least one the differences between the probabilities from...

  • Let X be a binomial random variable with p 0.3 and n 10. Calculate the following...

    Let X be a binomial random variable with p 0.3 and n 10. Calculate the following probabilities from the binomial probability mass function. Round your answers to four decimal places (e.g. 98.7654). P(X> 8)

  • Let X be a binomial random variable with n = 150 and p = 0.4. Use...

    Let X be a binomial random variable with n = 150 and p = 0.4. Use the normal approximation to find the following. Do not solve this as a binomial distribution problem. You must set up and use the normal approximation to receive credit. Express the final answer using 4 decimal places. a) P(48 ≤ X ≤ 66) b) P(X > 69)

  • Let x be a random variable from a binomial distribution with n = 40 and p...

    Let x be a random variable from a binomial distribution with n = 40 and p = 0.9. If a normal approximation is appropriate, give the distribution of x' that would be used in the approximation. a) x' ~ N(40, 0.92) b) x' ~ N(36, 3.62) c) x' ~ N(36, 1.92) d) normal approximation is not appropriate

  • 16. Let w be a random variable modeled as a binomial with p = 0.42 and...

    16. Let w be a random variable modeled as a binomial with p = 0.42 and n = 35. a. Find the exact value of P(W = 15) by using the binomial probability formula. b. Find the approximate value of P(14 < W< 16) by using a normal curve approximation. C. Round the probabilities in parts a. and b. to two decimal places and compare.

  • 16. Let W be a random variable modeled as a binomial with p = 0.42 and...

    16. Let W be a random variable modeled as a binomial with p = 0.42 and n = 35. a. Find the exact value of P(W = 15) by using the binomial probability formula. b. Find the approximate value of P(14 < W< 16) by using a normal curve approximation. c. Round the probabilities in parts a. and b. to two decimal places and compare.

  • Let X be a binomial random variable with p four decimal places (e.g. 98.7654) 10. Calculate...

    Let X be a binomial random variable with p four decimal places (e.g. 98.7654) 10. Calculate the following probabilities from the binomial probability mass function. Round your answers to 0.7 and n

  • Let X represent a binomial random variable with n = 125 and p = 0.19. Find...

    Let X represent a binomial random variable with n = 125 and p = 0.19. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a. P(X ≤ 25) b. P(X = 15) c. P(X > 35) d. P(X ≥ 30)

  • Let X have a binomial distribution with parameters n 25 and p. Calculate each of the following probabilities using...

    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) P15 s X 20) P P(1S s Xs 20) P(14.5 S Normal s 20.5) 0.5 0.6 0.8 The normal approximation of P(15 s X...

  • Let X represent a binomial random variable with n = 110 and p = 0.19. Find...

    Let X represent a binomial random variable with n = 110 and p = 0.19. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a. P(X ≤ 20) b. P(X = 10) c. P(X > 30) d. P(X ≥ 25)

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT