# STAT 200-Using the Normal to approximate the Binomial

01 / 10 / 2021 Projects

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## STAT 200-Using the Normal to approximate the Binomial

1. TOSSING A COIN: Using the Normal to approximate the Binomial (NOT the complex formulas) with a What is the probability of (binomial) data getting 17 to 21 heads out of 36 tosses? THE RANGE FOR WHICH WE DETERMINE THE Z VALUES FOR THE LOW AND HIGH ENDS IS?(a) 17 to 21 (b) 17.5 to 19.5 (c) 16 to 22 (d) 16.5 to 21.52. What are the MEAN and Standard deviation approximations we use for this calculation?(a) 18 and 3 (b) 17 and 10 (c) 18 and 9 (d) 16 and 3 (e) None of these3. What are the z-Values that correspond to the range you determined in #9 above?(a) +0.5 and -1.17 (b) -0.5 and +1.17 (c) – 0.16 and +0.38 (d) none of these4. For these z-Values from #11, what are the areas (probabilites) to the LEFT ?(a) 0.3085 and 87.9% (b) 3.85% and 0.0879 (c) 0.4801 and 13% (d) 4.81% and 95.2%5. FINALLY, what is the approximate probability of 17 to 21 heads out of 35 coin tosses using the Normal to approximate the Binomial?(a) 67% (b) 57% (c) 0.43 (d) 0.057 (e) None of these

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