Mathematics, 19.07.2019 20:30 lllamasarebae3076

Agrocery bag can be classified as either paper or plastic. suppose that 97% of grocery bags are classified as plastic. (a) two grocery bags are chosen at random. what is the probability that both grocery bags are plastic? (b) five grocery bags are chosen at random. what is the probability that all five grocery bags are plastic? (c) what is the probability that at least one of five randomly selected grocery bags is paper? would it be unusual that at least one of five randomly selected grocery bags is paper?

Answers: 3

Show answers

Answers

Answer from: isudgyia

Probability is used to determine the chances of an event

The probability that both grocery bags are plastic is 0.9409The probability that all five grocery bags are plastic is 0.8587The probability that at least one grocery bags is paper is 0.1413It would not be unusual that at least one of five randomly selected grocery bags is paper.

$p = 97\%$ -- chances that a bag is plastic

(a) Both plastics selected are plastic

This is calculated as:

P(2) = p^2

So, we have:

$P(2) = (97\%)^2$

P(2) = 0.9409

Hence, the probability that both grocery bags are plastic is 0.9409

(b) All five are plastic

This is calculated as:

P(5) = p^5

So, we have:

$P(5) = (97\%)^5$

P(5) = 0.8587

Hence, the probability that all five grocery bags are plastic is 0.8587

The probability that none of the five is paper is the same as the probability that all five is plastic.

So:

P(None) = 0.8587

Using complement rule,

$P(At\ least\ 1) = 1 - P(None)$

So, we have

$P(At\ least\ 1) = 1 - 0.8587$

$P(At\ least\ 1) = 0.1413$

Hence, the probability that at least one grocery bags is paper is 0.1413

The above probability is greater than 0.05

Hence, it would not be unusual that at least one of five randomly selected grocery bags is paper.

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 15:50, Pbaer3087

Agreeting card company can produce a box of cards for $7.50. if the initial investment by the company was $50,000, how many boxes of cards must be produced before the average cost per box falls to $10.50?

Answers: 1

continue

Mathematics, 21.06.2019 20:30, Trinhphuongtran

You have a square piece of cardboard that measures 14 inches on each side. to build a box, you cut congruent squares out of each corner of the cardboard. use the picture to find the area of the cardboard you were used to build the box

Answers: 2

continue

Mathematics, 21.06.2019 21:40, bella7524

Which statement is true about a number and its additive inverse? a. their product is always one. b. their sum is always one. c. they are always reciprocals of each other. d. their sum is always zero.

Answers: 1

continue

Mathematics, 21.06.2019 23:00, daedae96

Answer this two poles, ab and ed, are fixed to the ground with the of ropes ac and ec, as shown: two right triangles abc and edc have a common vertex c. angle abc and edc are right angles. ab is labeled 13 feet, ac is labeled 15 feet, ec is labeled 10 feet, and ed is labeled 4 feet. what is the approximate distance, in feet, between the two poles? 11.14 feet16.65 feet14.35 feet15.59 feet

Answers: 1

continue

You know the right answer?

Agrocery bag can be classified as either paper or plastic. suppose that 97% of grocery bags are clas...