The weight of fish in lake paradise follows a normal distribution with mean of 7.5 lbs and standard deviation of 2.5 lbs. a. what proportion of fish are between 9lbs and 12lbs? give your answer to 3 decimal places. b. alex boasts that he once caught a fish that was just big enough to be in the top 3% of of the fish population. how much did his fish weigh? give your answer to 2 decimal places. c. if one catches a fish from the bottom 20% of the population, the fish must be returned to the lake. what is the weight of the smallest fish that one can keep? give your answer to 2 decimal places.

hep the ratio of the weight of shawn's dog to the weight of andy's dog is 5: 7 shawn's cat weight 23kg approimately how much does andy's dog weigh

Tom can paint the fence in 12 hours, but if he works together with a friend they can finish the job in 8 hours. how long would it take for his friend to paint this fence alone?

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?