Question

In: Statistics and Probability

A)Let S = {1,2,3,...,18,19,20} be the universal set. Let sets A and B be subsets of...

A)Let S = {1,2,3,...,18,19,20} be the universal set.

Let sets A and B be subsets of S, where:

Set A={3,4,9,10,11,13,18}A={3,4,9,10,11,13,18}

Set B={1,2,4,6,7,10,11,12,15,16,18}B={1,2,4,6,7,10,11,12,15,16,18}

LIST the elements in Set A and Set B: {  }

LIST the elements in Set A or Set B: {  }

B)A ball is drawn randomly from a jar that contains 4 red balls, 5 white balls, and 9 yellow balls. Find the probability of the given event. Write your answers as reduced fractions or whole numbers.

(a) PP(A red ball is drawn) =    

(b) PP(The ball drawn is NOT red) =    

(c) PP(A green ball is drawn) =  

C)

As part of a statistics project, a teacher brings a bag of marbles containing 700 white marbles and 400 red marbles. She tells the students the bag contains 1100 total marbles, and asks her students to determine how many red marbles are in the bag without counting them.

A student randomly draws 100 marbles from the bag. Of the 100 marbles, 41 are red.

The data collection method can best be described as?

  • Census
  • Survey or Sample
  • Controlled study
  • Clinical study



The target population consists of?

  • The 1100 marbles in the bag
  • The 41 red marbles drawn by the student
  • The 100 marbles drawn by the student
  • The 400 red marbles in the bag
  • None of the above



The sample consists of?

  • The 41 red marbles drawn by the student
  • The 1100 marbles in the bag
  • The 100 marbles drawn by the student
  • The 400 red marbles in the bag
  • None of the above

Solutions

Expert Solution

C.the student randomly draw 100 marbles from the bag of 1100 marbles.

So this data collection method is known as simple random sampling .

So correct option is survey or sample..

The target population is the bag containing 1100 marbles from where the student is drawing the sample.

Correct option is - The 1100 marble in the bag

The sample is the marbles taken by the students. Which is the 100 marbles.

Correct option is- The 100 marbles drawn by the student.


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