Question

A coin is flipped 150 times. The results of the experiment are shown in the following table:

Heads Tails
84 66


Which of the following statements best describes the experimental probability of getting heads?
A. It is equal to the theoretical probability.
B. It is 6% lower than the theoretical probability.
C. It is 6% higher than the theoretical probability.
D.The experimental probability cannot be concluded from the data in the table.

Question 12(Multiple Choice Worth 5 points)

(08.01 MC)

The following table shows the data of a random sample of fish collected from and later released into a lake:


Type of Fish Piranha Catfish Trout
Number of fish 120 230 140


How many trout are estimated to be present if a random sample of 5,000 fish is collected from the lake?
A.280
B380
C 1,400
D 2,500


This is for the pic Question 11(Multiple Choice Worth 5 points)

(08.02 LC)

The dot plots below show the test scores of some mathematics students and some science students:



Based on visual inspection of the dot plots, which group of students appears to have the larger average score?

A. The mathematics students
B.The science students
C. Both groups are similar.
d.Not enough information is available to draw a conclusion.

Answer 1

First problem:

The answer is C because theoretically it should have a 50% of landing heads but instead it lands heads 56% of the time. Thus this is 6% higher than 50%. It's not D because there is not specified detail of how the person got this data so you can assume that the person did a fair survey/data collection.

Second problem:

So in a data size of 490, 140 of them we trout. This means that 140/490 or 28.57% of the fish are trout. This means that in a sample size of 5000 fish, 5000*0.2857 or 1428.57 are trout.

Third problem:

The Science students seem to have a higher average score because the average score of Math students are:
(32+33+34+34+35+37+39+40+40)/9=36
average score of Science students are:
(41+42+43+43+46+46+47+49+49)/9=45.111