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'ZO120IME 2610-Laboratory 4AssignmentTeam Member Names:
1. Suppose that for random variable X,f(x)=80otherwisea) Calculate P(2sx<4~. (2 poi~ts)
b) Calculate P(x < 2). (2 points) /
d) Determine the value of the variance ofX. (3 points)
2. A soft-drink machine is regulated so that it discharges an average of 200 milliliters per cup.If the amount of drink is normally distributed with a standard deviation equal to 15milliliters:a) What proportion of cups will containmore than224 milliliters of soft-drink?