Question: for the 4th question do only C HW7: Problem 4 (2 points) The lifetime (in weeks) of a certain food product, once it is opened,

 for the 4th question do only C HW7: Problem 4 (2points) The lifetime (in weeks) of a certain food product, once itis opened, can be modeled as a continuous random variable A. Its

for the 4th question do only C

PDF is given by: 0 ifw2 2:3 _ Round your final answersto 3 decimal places. Part a) Find the 50th percentile of thedistribution of X. 2.828 555 Part b) What is the probability that

HW7: Problem 4 (2 points) The lifetime (in weeks) of a certain food product, once it is opened, can be modeled as a continuous random variable A. Its PDF is given by: 0 ifw2 2:3 _ Round your final answers to 3 decimal places. Part a) Find the 50th percentile of the distribution of X. 2.828 555 Part b) What is the probability that the food will take over 3 weeks of opening to get spoiled? 4/9 55! Part c) If Y = % + 4, find Var(Y). HW7: Problem 5 (2 points) Let X be a continuous random variable with pdf fx(a) = 3x2 for 0

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