The weights of new born black bear cubs are uniformly distributed with minimum of 245 and maximum of 295 grams. Suppose that a random new born cub is selected.
a. Find the probability that the cub weighs less than 283 grams.
b. Find the probability that the cub weighs more than 292 grams.
c. Find the probability that the cub weighs more than 270 grams given it weighs more than 260 grams.
d. Find the probability that the cub weighs more than 266 grams given it weighs less than 285 grams.
e. Find the 90th percentile of new born bear cubs.
f. Find the probability that the cub weighs between 258.5 and 270.3 grams.
g. Find the 35th percentile of new born bear cubs. h. Find the probability that the cub weighs more than 305 grams
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