A researcher randomly surveyed 1,477 farmers to determine the geographical region in which they farm and the types of crops that grow there. The two-way table displays the data.
Geographical Region
Northeast Southeast Midwest West
Total
Vegetables 93
211
251
168
1123
Trees
115
27
16
53
211
Citrus
20
209
98
216
543
Total
228
447
365
1,477
Type of Crop
437
Suppose a farmer from this survey is chosen at random. Let M = farmer lives in the Midwest and V = farmer grows
vegetables. What is the value of P(VIM)?
2513
0
168
437

Asilkworm winds its cocoon out of one long silk fiber. to make silk thread, 3 to 10 of these silk fibers are unwound from their cocoons and combined into aa single thread with a typical length of 300 yards. choose a reasonable number of silk fibers in a thread write an equation to find the total length of the silk fibersused in 300 yards of the thread

F(x)= 4x g(x) =x-1 what is f(x) divided by g(x)

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?