In a carnival game, there are 8 identical boxes, one of which contains a prize. Contestants guess which box contains the prize. The game is played until one of the contestants guesses it correctly. A contestant with the smaller number of guesses wins the prize. Before each game, a new prize is placed at random in one of the 8 boxes. Is It appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 2 times? A. No. The trials are not independent.
B. No. The trials do not have the same success.
C. No. The number of this is not fixed.
D. Yes. The trials are independent, identical, have only two outcomes, have the same (sco), and the number of trials is faed.
E. No. The trials have more than two outcomes.
F. No. The trials are not identical.

C. No. The number of trials is not fixed.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

It is needed that:

In each trial, the probability of a success is the same, that is, the trials are independent.

A fixed number of trials.

The game is played until one of the contestants guesses it correctly.

This means that there is not a fixed number of trials, and thus, the binomial probability distribution cannot be used to solve this question, and the correct answer is given by option c.

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation: