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15. Find the mode or modes for the set of numbers. 83, 25, 83, 13, 25,29, 83, 56

ID: 3314047 • Letter: 1

Question

15. Find the mode or modes for the set of numbers. 83, 25, 83, 13, 25,29, 83, 56, 83 16. On a survey question, 69 people answered "yes" to the question, 12 were male. On the same survey question, 62 people answered "no" to the question, 9 were male. If one person were selected at random, what is the probability that the person was male? Round to 3 decimal places. 17. Find the paymentnecessary to amortize the loan. $2,300; 10% compounded quarterly, 8 quarterly payments. 18. Find the probability of the following: When a single card is drawn from a well-shuffled deck, find the probability of getting a spade. Write your answer as a reduced fraction.

Explanation / Answer

15. Mode is the most repeating value.

For the given set of values the mode is 83.

16. Probability that a person said yes = 69/(69 + 62) = 0.5267.

Probability that a person said no and was male = 9/(69 + 62) = 0.0687.

=> Probability that a person said yes or is male = 0.5267 + 0.0687 = 0.595.

17. The formula for the amount is:

A = Pr(1 + r)n / [(1 + r)n - 1]

= $2300 * 0.1 * (1 + 0.1)8 / [(1 + 0.1)8 - 1]

= $431.1212.

(Note: This is the quarterly payment. Total payment would be 431.1212 * 8 = $3449.)

18. There are 13 spades among 52 cards.

The probability of getting a spade = 13/52

= 1/4.

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