Math Problem Statement
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 17 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 17 births. The value of the mean is = 8.5 . (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = 2.1 . (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of girls or fewer are significantly low. (Round to one decimal place as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Binomial Distribution
Range Rule of Thumb
Formulas
Mean of Binomial Distribution: μ = n * p
Standard Deviation of Binomial Distribution: σ = √(n * p * (1 - p))
Range Rule of Thumb: Significantly low = μ - 2σ, Significantly high = μ + 2σ
Theorems
Binomial Distribution Theorem
Suitable Grade Level
Grades 10-12
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