The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 19 b. What is the median giraffe height? 19 V ft. o c. What is the Z-score for a giraffe that is 20 foot tall? 1 d. What is the probability that a randomly selected giraffe will be shorter than 18.1 feet tall? e. What is the probability that a randomly selected giraffe will be between 18.7 and 19.5 feet tall? f. The 70th percentile for the height of giraffes is ft.

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The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with a standard deviation of 1 foot. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.

a. What is the distribution of X? \( X \sim N(19, 1) \)

b. What is the median giraffe height? \( 19 \) ft.

c. What is the Z-score for a giraffe that is 20 feet tall? \( 1 \)

d. What is the probability that a randomly selected giraffe will be shorter than 18.1 feet tall?
\[ \text{(Box for input)} \]

e. What is the probability that a randomly selected giraffe will be between 18.7 and 19.5 feet tall?
\[ \text{(Box for input)} \]

f. The 70th percentile for the height of giraffes is \[ \text{(Box for input)} \] ft.
Transcribed Image Text:The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with a standard deviation of 1 foot. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? \( X \sim N(19, 1) \) b. What is the median giraffe height? \( 19 \) ft. c. What is the Z-score for a giraffe that is 20 feet tall? \( 1 \) d. What is the probability that a randomly selected giraffe will be shorter than 18.1 feet tall? \[ \text{(Box for input)} \] e. What is the probability that a randomly selected giraffe will be between 18.7 and 19.5 feet tall? \[ \text{(Box for input)} \] f. The 70th percentile for the height of giraffes is \[ \text{(Box for input)} \] ft.
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