Question

Assume that a normal distribution of data has a mean of 22 and a standard deviation of 3. Use the 68minus 95minus99.7 rule to find the percentage of values that lie below 25 .

Answer #1

Given that, mean = 22 and

standard deviation = 3

According to 69-95-99.7 rule, approximately 68% of the data fall within 1 standard deviations of the mean.

Therefore, 100 - 68 = 32% of the data fall outside the 1 standard deviations of the mean. That means 32/2 = 16% of the data fall either side of the 1 standard deviations of the mean.

Hence, 16 + 68 = **84%** of values that lie below
25.

**Answer: 84%**

Assume that a normal distribution of data has a mean of 13 and a
standard deviation of 3. Use the 68minus 95minus99.7 rule to find
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assume that a normal distrubtion of data has a mean of 14 and a
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1.Assume that x has a normal distribution with the specified
mean and standard deviation. Find the indicated probability. (Round
your answer to four decimal places.) μ = 8; σ = 6 P(5 ≤ x ≤ 14)
=
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specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
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specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
? = 41; ? = 15
P(50 ? x ? 70) =
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? = 4.6; ? = 1.9
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specified mean and standard deviation. Find the indicated
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and standard deviation. Find the indicated probability. (Enter a
number. Round your answer to four decimal places.) μ = 22; σ = 4.2
P(x ≥ 30) =

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specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 4.4; σ = 2.2
P(3 ≤ x ≤ 6) =
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specified mean and standard deviation. Find the indicated
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μ = 14.3; σ = 3.5
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