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	14	26	40
High Income	23	12	35
Total	37	38	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 6 children are chosen, the probability that exactly 4 would draw the nickel too small is:   

c) If 6 children are chosen at random, the probability that at least one would draw the nickel too small is:   

d) If 110 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 the nickel too small is 37 / 75

B)

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

Probability that out of 6 childers 4 drawn nickel too small is

=

= 0.2280

C)

Probability that out of 6 children at least 1 would draw nickel too small is

= 0.9830

D)

Out of 110 children it would unusual that more than (37/75)×110 = 54.26 = 54 drew the nickel too small