Question

ASAP

The correct size of a nickel is 21.21 millimeters. Based on that, the data can be summarized into the following table:

	Too Small	Too Large	Total
Low Income	18	22	40
High Income	23	12	35
Total	41	34	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:   

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 5 children are chosen, the probability that exactly 2 would draw the nickel too small is:   

c) If 5 children are chosen at random, the probability that at least one would draw the nickel too small is:   

d) If 80 children are chosen at random, it would be unusual if more than    drew the nickel too small

Answer 1

Answer:-

A)

proportion of all children that draw nickel too small =41/75 =0.547

B)

here we use binomial distribution because number of trial is finite and probability of drawing nickel too small is constant.

Therefore n=5 , p =0.547 , q= 0.453

Probability that exactly 2 would draw nickel too small = = 0.278

C)

Probability that at least 1 draw nickel too small =

1 - Probability that no would draw nickel too small

=0.019

D)

If 80 children are choosen at random then ,it would be unusual if more than (0.547 ×80= 43.76 ( nearly 44) )  44 Draw nickel too small.