High School

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Round all answers on this assignment to exactly three decimal places (including any trailing zeros).

Pick a random real number between 12.3 and 36.3:

a. The probability that the number will be exactly 14 is _____.

b. The probability that the number will be between 14 and 16, inclusive, is _____.

c. The probability that the number will be between 14 and 16, exclusive, is _____.

d. The probability that the number will be less than 14 or greater than 16 is _____.

e. The probability that the number will be less than 16 or greater than 14 is _____.

Answer :

Final answer:

The probabilities for a random number between 12.3 and 36.3 are calculated. a. The probability of getting exactly 14 is 0. b. The probability of the number being between 14 and 16, inclusive, is 0.048. c. The probability of the number being between 14 and 16, exclusive, is 0.032.

Explanation:

To find the probabilities, we need to consider the range of numbers between 12.3 and 36.3.

a. The probability that the number will be exactly 14 is 0.

b. The probability that the number will be between 14 and 16, inclusive, is 0.048.

c. The probability that the number will be between 14 and 16, exclusive, is 0.032.

d. The probability that the number will be less than 14 or greater than 16 is 0. Alternatively, you can calculate this as 1 minus the probability in part c, which is 0.968.

e. The probability that the number will be less than 16 or greater than 14 is the same as the probability from part d, which is 0.968.

Learn more about Probability here:

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