Select the correct answer. Tyler's art class is split into groups. His group has to stage a tableau vivant (French for "living picture") as part of a year-end project. Each member of the group suggests a painting to depict: Freedom from Want, A Sunday Afternoon on the Island of La Grande Jatte, The Sculpture Gallery, Alexander and Diogenes, and The Potato Eaters. To choose one of these paintings, they use a number generator to generate numbers from 1 to 5 and assign a number to each painting. First, they run 100 trials to check the validity of their model and record the outcomes shown in the table. Painting Number Times Result Occurred Freedom from Want 1 19 A Sunday Afternoon on the Island of La Grande Jatte 2 21 The Sculpture Gallery 3 20 Alexander and Diogenes 4 19 The Potato Eaters 5 21 Which statement is true based on the results in the table? A. All of the outcomes are equally likely because their relative frequencies are similar. B. All of the outcomes are equally likely because the relative frequencies add up to 100. C. All of the outcomes are not equally likely because there is a variation in their relative frequencies. D. All of the outcomes are not equally likely because the numbers 6 through 10 are not accounted for. E. All of the outcomes are not equally likely because the relative frequency of generating a 1 is less than the relative frequency of generating a 5

Select the correct answer Tylers art class is split into groups His group has to stage a tableau vivant French for living picture as part of a yearend project E class=

Respuesta :

Answer:

A) All of the outcomes are equally likely because their relative frequencies are similar.

Step-by-step explanation:

A) all of the relative frequencies are similar

because the number of times each result occurred is fairly similar, we can assume that the probability of each result is the same

B) no matter what, if you run 100 trials the number of results that occurred will add up to 100. If you are adding them all together, then you are just taking the total number of times that a result occurred.

if number 1 occurred 95 times, and 2 occurred 1 time, 3 occurred 1 time, 4 occurred 2 times, and 5 occurred 1 time, the added number of relative frequencies is still 100.

C) although there is variation, it is so slight that it can be disregarded. this answer could be true if there was extreme variation, like a difference of 10 between the numbers.

D) the number generator is only generating values 1 - 5, so there is no chance of 6 - 10 being an outcome. it does not matter if they are accounted for. if the generator only was able to generate numbers 1 - 10 (like a ten-sided dice), it would still not change how likely each of the outcomes is. Each outcome would occur less but the change of each outcome occurring would match all other numbers between 1 - 10 (assuming that the probability between the numbers is still equal).

E) once again, the difference here is not substantial. A difference of 2 is expected, and it can be disregarded because all of the outcomes are still very similar.