Question

question 2 (1 point)
the depth of the snow at yellowstone national park in april at the lower geyser basin was normally distributed with a mean of 2.7 inches and standard deviation of 0.53 inches.
what value is one standard deviation below the mean?
your answer:
answer
question 3 (1 point)
the depth of the snow at yellowstone national park in april at the lower geyser basin was normally distributed with a mean of 2.5 inches and standard deviation of 0.78 inches.
what value is two standard deviations above the mean?
your answer:
answer

Explanation:

Question 2

Step1: Recall the formula

The formula for a value \(x\) in a normal distribution is \(x=\mu - z\sigma\), where \(\mu\) is the mean, \(z\) is the number of standard deviations, and \(\sigma\) is the standard deviation. Here, \(\mu = 2.7\), \(z = 1\), \(\sigma=0.53\).

Step2: Calculate the value

Substitute the values into the formula: \(x=2.7-1\times0.53\).

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Question 3

Step1: Recall the formula

The formula for a value \(x\) in a normal distribution is \(x=\mu+z\sigma\), where \(\mu\) is the mean, \(z\) is the number of standard deviations, and \(\sigma\) is the standard deviation. Here, \(\mu = 2.5\), \(z = 2\), \(\sigma = 0.78\).

Step2: Calculate the value

Substitute the values into the formula: \(x=2.5+2\times0.78\).

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Answer:

Question 2: \(2.17\)
Question 3: \(4.06\)