A Survey of a college freshman class has determined that the mean height of females in the class is 62 inches with a standard deviation of 3.6 inches (a) Assuming the data can be modeled by a normal probability density function, find a model for these data. S.0 x) = V 70 AA A (b) Use a graphing utility to graph the model. Be sure to choose an.appropriate viewing window. D05 005- D.04 004 0.03 0.02 0.02 0.01 D.01 -20 -10 50 60 10 20 BD 10 0.10 0.08- D 08 0 06 0.06 0.04 D.04 0.02 D 02 55 60 65 70 O-10 10 (c) Find the derivative of the model. x) =1 X (d) Show thal > 0 for xu and f O for x> H (Round your answers to three decimal places.) Note the derivative in part (d) only changes sign at x= =62 and is defined for all real numbers. For xp62, let x= 61. Then (61= So for xP(X 0. Then for x 62, Ilet x 61. Then (63) = So for x> p, f(x) о. Submit Answer O

Q: rest

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A: Given ,  We have to tell the domain of the linear function

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.