Here is a random sample of taxi-out times (in minutes) for airline flights out of an airport: 12, 19, 13, 43, 15. which of the following are not possible bootstrap samples? (a) 12, 19, 13, 43, 15 (b) 12, 19, 15 (c) 12, 12, 12, 43, 43 (d) 14, 20, 12, 19, 15 (e) 12, 13, 13, 12, 43, 15, 19

(b) 12, 19, 15

(d) 14, 20, 12, 19, 15

(e) 12, 13, 13, 12, 43, 15, 19

Step-by-step explanation:

We are given the following information in the question:

12, 19, 13, 43, 15

The above is a sample of taxi-out times (in minutes).

We have to find possible bootstrap samples.

Bootstrap Sample:

(a) 12, 19, 13, 43, 15

This is a bootstrap sample as it contains five data points and all belong to the original sample.

(b) 12, 19, 15

This cannot be a bootstrap sample as it contains less number of data points as compared to the original sample which is 5.

(c) 12, 12, 12, 43, 43

This is a bootstrap sample s it contains five data points and all belong to the original sample.

(d) 14, 20, 12, 19, 15

This cannot be a bootstrap sample as this sample contains 14, which is not in the original sample.

(e) 12, 13, 13, 12, 43, 15, 19

This cannot be a bootstrap sample as it contains more number of data points as compared to the original sample which is 5.

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation: