NormalApproxQuiz

NormalApproxQuiz - Using the normal approximation to the...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Question 1 10 points X~bin(344, .82) Using the continuity correction, how would we write Pr[X < 339]? Pr[X < 339] Pr[X < 339.5] Pr[X < 338.5] Question 2 10 points X~bin(344, .82) Using the continuity correction, how would we write Pr[X at most 291]? Pr[X < 291.5] Pr[X < 291] Pr[X < 290.5] Question 3 10 points X~bin(344, .82) Using the continuity correction, how would we write Pr[X >154]? Pr[X > 154] Pr[X > 154.5] Pr[X > 153.5] Question 4 10 points X~bin(344, .82) Using the continuity correction, how would we write Pr[153 < X < 301]? Pr[153.5 < X < 300.5] Pr[ 153 < X < 301] Pr[152.5 < X < 301.5] Pr[152.5 < X < 300.5]
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Question 5 10 points Let X be a binomial random variable, where n = 50 and p = .25 (mu = 12.5 and sigma = 3.062). Using the normal approximation to the binomial, what is the probability that X is at most 12? .4873 .5000 .3707 .7654 Question 6 10 points Let X be a binomial random variable, where n = 50 and p = .25 (mu = 12.5 and sigma = 3.062).
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Using the normal approximation to the binomial, what is Pr[X &lt; 23]? .0005 .9995 .9997 Question 7 10 points Let X be a binomial random variable, where n = 50 and p = .25 (mu = 12.5 and sigma = 3.062). Using the normal approximation to the binomial, what is the Pr[12 &lt; X &lt; 23]? .4997 .5633 .4995 Question 8 10 points Virginia Tech has beaten UVA 52.2% of the time in football. If we wanted to know the probability that VT wins at most 12 out of the next 15 games, would the normal approximation to the binomial be appropriate here? No, because 15 isn't enough games for the estimation to work. There's not enough information to tell. Yes, because we have met the criteria for the central limit theorem. Question 9 10 points X~bin(344, .82) Using the normal approximation, what is Pr[X at least 276]? .8212 .8023 .7823 .1788 Question 10 10 points X~bin(344, .82) Using the normal approximation, what is Pr[X &lt; 270]? .0384 .0446 .0516 .4013...
View Full Document

Page1 / 3

NormalApproxQuiz - Using the normal approximation to the...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online