For A-D: A certain breed of pigs has weights that are normally distributed with a population mean of 350 lbs. and a standard deviation of 25 lbs. A) If ONE pig is selected at random, find the probability (to nearest 0.0001) that its weight will be 335 lbs or less. B) If ONE pig is selected at random, find the probability (to the nearest 0.0001) that its weight will be between 335 and 360 lbs. [Hint: you're dealing with a band area in the middle of the normal bell curve]. C) What weight (to the nearest pound) represents the 33rd percentile in this group of pigs? [Hint: Find the z-score corresponding to a probability of 0.3300 and substitute it into the z-score formula. Then algebraically solve for X which will be the desired weight at the 33rd percentile.] D) If a group of 4 pigs is selected at random, find the probability (to the nearest 0.0001) that the mean weight of the group will be 335 lbs or less.
For A-D: A certain breed of pigs has weights that are
A) If ONE pig is selected at random, find the probability (to nearest 0.0001) that its weight will be 335 lbs or less.
B) If ONE pig is selected at random, find the probability (to the nearest 0.0001) that its weight will be between 335 and 360 lbs. [Hint: you're dealing with a band area in the middle of the normal bell curve].
C) What weight (to the nearest pound) represents the 33rd percentile in this group of pigs? [Hint: Find the z-score corresponding to a probability of 0.3300 and substitute it into the z-score formula. Then algebraically solve for X which will be the desired weight at the 33rd percentile.]
D) If a group of 4 pigs is selected at random, find the probability (to the nearest 0.0001) that the mean weight of the group will be 335 lbs or less.
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