A labor department reported that about​ one-third of eligible workers​ haven't enrolled in their​ employers' 401(k) plans. A company has been contemplating new incentives to encourage more participation from its employees. Of 17 the employees in the​ company's automotive​ department, 6 have enrolled in a​ 401(k) plan. The store manager has randomly selected 8 of the automotive department employees to receive investment training. Complete parts a through c below. a. Calculate the probability that all of the employees currently enrolled in the​ 401(k) program are selected for the investment training. Calculate the probability that none of the employees currently enrolled in the 401K program is selected for the investment training? Compute the probability that more than half of the employees currently enrolled in the 401K program are selected for the investment training?

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A labor department reported that about​ one-third of eligible workers​ haven't enrolled in their​ employers' 401(k) plans. A company has been contemplating new incentives to encourage more participation from its employees. Of 17 the employees in the​ company's automotive​ department, 6 have enrolled in a​ 401(k) plan. The store manager has randomly selected 8 of the automotive department employees to receive investment training. Complete parts a through c below.
a. Calculate the probability that all of the employees currently enrolled in the​ 401(k) program are selected for the investment training.

Calculate the probability that none of the employees currently enrolled in the 401K program is selected for the investment training?

Compute the probability that more than half of the employees currently enrolled in the 401K program are selected for the investment training?  

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