Acorporation randomly selects 150 salespeople and finds that 66% who have never taken a self-improvement course would like such a course. the firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. the groups are assumed to be independent random samples. let 1 and 2 represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively. if the firm wanted to test whether a greater proportion of workers would currently like to attend a self-improvement course than in the past, which represents the relevant hypotheses?

Find the balance at the end of 4 years if 1000 is deposited at the rate of

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Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?