The correct size of a nickel is 21.21 millimeters. Based on that, the data can b

Question

The correct size of a nickel is 21.21 millimeters. Based on that, the data can be summarized into the following table: 40 Low Income High Income Total Too Small | Too Large Total 19 21 21 14 35 40 35 35 75 75 Based on this data: (give your answers to parts a-c as fractions, or decimals to at least 3 decimal places. Give your to part d as a whole number.) a) The proportion of all children that drew the nickel too small is: 8 Preview Assume that this proportion is true for ALL children (e.g. that this proportion applies to any group of children), and that the remainder of the questions in this section apply to selections from the population of ALL children. b) If 9 children are chosen, the probability that exactly 3 would draw the nickel too small is: Preview c) If9 children are chosen at random, the probability that at least one would draw the nickel too small is: Preview d) If 100 children are chosen at random, it would be unusual if more than Preview drew the nickel too small License Points possible: 10 This is attempt 1 of 3.

Explanation / Answer

Ans:

a)P(too small)=40/75=0.533

b)Use binomial distribution with n=9,p=0.533

P(x=3)=9C3*0.5333*(1-0.533)6=0.132

c)P(x>=1)=1-P(x=0)=1-(1-0.533)^9=0.999

d)P(x>61)=1-P(x<=61)=1-binomcdf(100,0.533,61)=0.05

(P(x>62)=0.0324

As,when P(x>62)=0.0324,which is less than 0.05,so it would be unsusual if x>62

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