A car orders are summarized by the optional features that ar

A car orders are summarized by the optional features that are requested as follows: Proportion of orders- No optional features 0.2 One optional feature 0.6 Two optional features 0.1 More than two options 0.1 What is the probability that an order requests at least one optional feature? What is the probability that an order does not request more than one feature?

Solution

1) a) Prob that an order request atlest one optional feature = 1 - Prob that an order request no optional feature

                                                                                              = 1 - 0.2

                                                                                              = 0.8

b) Prob that an order doesn\'t request more than one optional feature = prob of no optional feature + prob of one optional feature

                                                                                                             = 0.2 + 0.6

                                                                                                             = 0.8

2) a) Prob of high conductivity and high strength = 70 /100 = 0.7

b) Prob of low conductivity and low strength = 3 /100 = 0.03

c) No, these two events are not mutually exclusive , because prob of happening both the events together is 0.03 not zero.