Question

One study on managers’ satisfaction with management tools reveals that 59% of all managers use self-directed work teams as a management tool. Suppose 70 managers selected randomly in the United States are interviewed. What is the probability that fewer than 35 will use self-directed work teams as a management tool?

Answer 1

We have here, n = 70 and p = 0.59

Therefore, We need to use,  Normal Approximation for the Binomial Distribution

The probability that fewer than 35 will use self-directed work teams as a management tool

=P[X<35]

=P[X<34.5]..............................by using continuity correction.

=P[Z<-1.65]

=0.0495...............................by using Z table or by using Excel command =NORMSDIST(-1.65)

The probability that fewer than 35 will use self-directed work teams as a management tool =0.0495