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zmey [24]
3 years ago
8

A quick quiz consists of a multiple-choice question with 3 possible answers followed by a multiple-choice question with 4 possib

le answers. If both questions are answered with random guesses, find the probability that both responses are correct. Report the answer as a percent rounded to two decimal place accuracy. You need not enter the "%" symbol. Probability = Incorrect%
Mathematics
1 answer:
Yanka [14]3 years ago
4 0

Answer:

8.33%

Step-by-step explanation:

Given that the quiz has;

A multiple-choice question with 3 possible answers

A multiple-choice question with 4 possible answers

In the first question;

⇒The three choices,each has the probability of 1/3 to be picked

In the second question;

⇒The four choices, each has a probability of 1/4 to be picked

1/4

Finding the probability that both responses are correct will be;

1/3* 1/4 =1/12

As a percentage will be

1/12 * 100= 8.33%

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Answer:

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Consider the following information related to a set of quantitative sample data:
svlad2 [7]

Answer:

(a) There are outliers

(b) x and x >62

Step-by-step explanation:

Given

\sigma = 14.92

\bar x = 22.0

q_0 = -24

q_1 = 14.5

q_2 = 24.5

q_3 = 33.5

q_4 = 64

Solving (a): Check for outliers

This is calculated using:

Lower = Q_1 - (1.5 * IQR) --- lower bound of outlier

Upper = Q_3 +(1.5 * IQR) --- upper bound of outlier

Where

IQR = Q_3 - Q_1

So, we have:

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IQR = 19

The lower bound of outlier becomes

Lower = Q_1 - (1.5 * IQR)

Lower = 14.5 - (1.5 * 19)

Lower = 14.5 - 28.5

Lower = -14

The upper bound of outlier becomes

Upper = Q_3 +(1.5 * IQR)

Upper = 33.5 + 1.5 * 19

Upper = 33.5 + 28.5

Upper = 62

So, we have:

-14 \le x \le 62 --- the range without outlier

Given that:

q_0 = -24  --- This represents the lowest data

q_4 = 64   --- This represents the highest data

-24 and 64 are out of range of -14 \le x \le 62.

Hence, there are outliers

Solving (b): The outliers

The outliers are data less than the lower bound (i.e. less than -14) or greater than the upper bound (i.e. 62)

So, the outliers are:

x and x >62

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