4. You are required to use R to answer the following questions. You must copy/paste both R codes and outputs. Do NOT use

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4 You Are Required To Use R To Answer The Following Questions You Must Copy Paste Both R Codes And Outputs Do Not Use 1 (93.11 KiB) Viewed 49 times

4. You are required to use R to answer the following questions. You must copy/paste both R codes and outputs. Do NOT use a standard normal distribution table! Suppose the weight of a pack of 24 soda bottles follows a normally distributed random variable X with mean 12.0 kilograms and standard deviation 0.90 kilograms. 4.1. (Total 11 points) Compute the following probabilities. a. (2 points) P(X = 12) b. (2 points) P(X = 13) c. (2 points) P(X > 8) d. (2 points) P(11 < X < 15) e. (3 points) P(|X – 12] S 3) Hint: P(|X – 12 5 3) = P(-35 X – 12 5 3). = 4.2. (Total 6 points) Answer the following questions. f. (2 points) What is the 70th percentile? g. (2 points) What proportion of the packs weighs more than 10.0 kgs? h. (2 points) A particular pack weighs 12.48 kgs. What percentile is it on?