Agroup of 20 students are being asked to report the number of pets they keep in their house the results are 0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4 ,4,21

mean is 2.4
standard deviation is 4.47
quartile 1 is 0.5
median is 1
quartile 3 is 2.5

after being told that they should not count any fish in the report, the value of 3 becomes a 2 and the value of 21 becomes 1. would these changes affect the median, mean, standard deviation or inter quartile range ? if so would each measure decrease or increase from their original values?

10 ! a train starts from grand city and travels toward belleville 388 miles away. at the same time, a train starts from belleville and runs at the rate of 47 miles per hour toward grand city. they pass each other 4 hours later. find the rate of the train from grand city.

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?

If f(x) = 3x2 - 2x+4 and g(x) = 5x + 6x - 8, find (f-g)(x).