You select a family with four children. if m represents a male child and f a female child, the set of equally likely outcomes for the children's genders is {, fffm, ffmf, fmff, mfff, mffm, mfmf, mmff, ffmm, fmfm, fmmf, fmmm, mfmm, mmfm, mmmf, }. find the probability of selecting a family with exactly three male children

Evaluate the expression for the given value of the variable. 5×(h+3) for h=7

50 people men and women were asked if they watched at least one sport on tv. 20 of the people surveyed are women, but only 9 of them watch at least one sport on tv. 16 of the men watch at least one sport on tv. make a a two-way table and a relative frequency table to represent the data.

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?