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A large state university finds that 82 of a random sample of 200 of its first-year students engage in binge drinking.  Find a 90%  confidence interval for the proportion of all first-year students at the state university who engage in binge drinking.  Also find the margin of error.  Round all of your answers to four decimal places.   90% Confidence Interval:  ( [LL] , [UL] ) Margin of Error:   [E]

A large state university finds that 82 of a random sample of 200 of its first-year students engage in binge drinking.  Find a 95%  confidence interval for the proportion of all first-year students at the state university who engage in binge drinking.  Also find the margin of error.  Round all of your answers to four decimal places.   95% Confidence Interval:  ( [LL] , [UL] ) Margin of Error:   [E]

Assume that female heights are normally distributed with mean  64 inches and standard deviation 3 inches.  For each of the following, express your answer as a decimal rounded to four decimal places. a.)  What is the probability a randomly selected female is taller than 68 inches?     [a]   b.)  What is the probability a randomly selected female is between 63 and 65 inches tall?  [b]   c.)  What height represents the 25th  percentile for female heights? [c]   d.)  What is the probability that a sample of 5 females have a mean height of less than 63 inches? [d]

A group of 548 high school students were asked whether they smoke and whether their parents smoke.  The information is given in the following table.    Student smokes  Student doesn’t smoke  Row Totals Both parents smoke   9   30 One parent smokes   39   168 Neither parent smokes    43   259 Column Totals   If one of the 548 students is randomly selected, find the probability that: (Express your answers as a decimal rounded to four decimal places)   a.)   The student smokes, given both parents smoke.  [a] b.)   Neither parent smokes, given the student doesn’t smoke.  [b] c.)   The student doesn’t smoke.  [c] d.)   Neither parent smokes and the student doesn’t smoke.  [d] e.)   Both parents smoke or the student smokes.  [e]

In the mass-spring-dashpot system, suppose the system is overdamped with

In each of the following equation, determine what your guess should be for  should be when using the method of undetermined coefficients. 

In the mass-spring-dashpot system, suppose the system is overdamped with

In the following equation, determine what your guess should be for  when using the method of undetermined coefficients. 

For each of the following functions representing the position of function in a mass-spring system, determine if the system is undamped, underdamped, overdamped, or critically damped  

Identify the congenital heart defect (1) . State the direction of blood shunt (2) . (2 points)