3. Basic Computation: Normal Approximation to a Binomial Distribution Suppose we have a binomial experiment with n = 40 trials and a probability of success p = 0.50. (a) Is it appropriate to use a normal approximation to this binomial distribu- tion? Why? (b) Compute μ and or of the approximating normal distribution. (c) Use a continuity correction factor to convert the statement r≥ 23 suc- cesses to a statement about the corresponding normal variable x. (d) Estimate P(r≥ 23). (e) Interpretation Is it unusual for a binomial experiment with 40 trials and probability of success 0.50 to have 23 or more successes? Explain.
3. Basic Computation: Normal Approximation to a Binomial Distribution Suppose we have a binomial experiment with n = 40 trials and a probability of success p = 0.50. (a) Is it appropriate to use a normal approximation to this binomial distribu- tion? Why? (b) Compute μ and or of the approximating normal distribution. (c) Use a continuity correction factor to convert the statement r≥ 23 suc- cesses to a statement about the corresponding normal variable x. (d) Estimate P(r≥ 23). (e) Interpretation Is it unusual for a binomial experiment with 40 trials and probability of success 0.50 to have 23 or more successes? Explain.
MATLAB: An Introduction with Applications
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Please answer parts d and e. Thank you!
Transcribed Image Text:3. Basic Computation: Normal Approximation to a Binomial Distribution
Suppose we have a binomial experiment with n = 40 trials and a probability
of success p = 0.50.
(a) Is it appropriate to use a normal approximation to this binomial distribu-
tion? Why?
(b) Compute μ and or of the approximating normal distribution.
(c) Use a continuity correction factor to convert the statement / ≥ 23 suc-
cesses to a statement about the corresponding normal variable .x.
(d) Estimate P(r≥ 23).
(e) Interpretation Is it unusual for a binomial experiment with 40 trials and
probability of success 0.50 to have 23 or more successes? Explain.
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