# Discrete probability model

Choose a person aged 19 to 25 years at random and ask, "how many times have you worked out in the past?" Call the response X for short. Based on a large sample survey, here is a probability model for the answer you will get:

Days 0 1 2 3 4 5 6 7

Probability 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02

a) Verify that this is a legitimate discrete probability model

b) Describe the event X < 7 in words. What is P(X < 7)?

c) Express the event " worked out at least once" in terms of X. What is the probability of this event?

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Choose a person aged 19 to 25 years at random and ask, "how many times have you worked out in the past?" Call the response X for short. Based on a

large sample survey, ...

#### Solution Summary

A Complete, Neat and Step-by-step solution regarding a discrete probability model is provided in the attached file. It helps verify what a legitimate discrete probability model is, describes an event and expresses it in terms of X, and calculates the probability of the event.