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ln the United States. males between the ages of 40 and 49 eat on average 103.1 g of fat every day with a standard deviation of 4.32 g. Assume that the amount of fat a person eats is normally distributed. Round the probabilities to four decimal places. lt is possible with rounding for a probability to be 0.0000. a) State the random variable. rv X = a randoml selected male in the US between the aes 0140 and 49 v b) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption of 90.54 g or grams or more. '8 [:3 c) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption of 108.64 g or grams or less. d) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption between 90.54 and 108.64 13, or grams. k E e) Find the probability that randomly selected male in the US between the ages of 40 and 49 has a fat consumption that is at least 118.22 3 or grams. 1:] f) is a fat consumption of 118.22 9, or grams unusually high for a randomly selected male in the US between the ages of 40 and 49? Why or why not? 5, since the probablli of havin- a value of fat consumption at the most that value is less than or eual to 0.05 v 9,) What fat consumption do 49% of all males in the US between the ages of 40 and 49 have less than? Round your answer to two decimal places in the first box. Put the correct units in the second box. l:ll:l