The mean cholesterol level of women age 45-59 in Ghana, Nigeria, and Seychelles is 5.1 mmol/l and the standard deviation is 1.0 mmol/l. Assume that cholesterol levels are normally distributed.Round the probabilities to four decimal places.It is possible with rounding for a probability to be 0.0000. It is possible with rounding for a probability to be 0.0000.a) State the random variable.Select an answerb) Find the probability that a randomly selected woman age 45-59 in Ghana, Nigeria, or Seychelles has acholesterol level of 6 mmol/l or more.c) Find the probability that a randomly selected woman age 45-59 in Ghana, Nigeria, or Seychelles has acholesterol level of 6.4 mmol/l or less.d) Find the probability that a randomly selected woman age 45-59 in Ghana, Nigeria, or Seychelles has acholesterol level between 6 and 6.4 mmol/l.e) Find the probability that randomly selected woman age 45-59 in Ghana, Nigeria, or Seychelles has acholesterol level that is at least 8.6 mmol/l.f) Is a cholesterol level of 8.6 mmol/l unusually high for a randomly selected woman age 45-59 in Ghana,Nigeria, or Seychelles?Why or why not?Select an answerg) What cholesterol level do 60% of all women age 45-59 in Ghana, Nigeria, and Seychelles have less than?Round your answer to two decimal places in the first box.Put the correct units in the second box.

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College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 33E: Find the probability of each event. Drawing 5 orange cubes from a bowl containing 5 orange cubes and...

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The mean cholesterol level of women age 45-59 in Ghana, Nigeria, and Seychelles is 5.1 mmol/l and the standard deviation is 1.0 mmol/l. Assume that cholesterol levels are normally distributed.

Round the probabilities to four decimal places.

It is possible with rounding for a probability to be 0.0000.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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