Question

**A senior citizen purchases 45 lottery tickets a week,
where each ticket consists of a different six-number combination.
The probability that this senior will win - (to win at least three
of the six numbers on the ticket must match the six-number winning
combination) on any ticket is about 0.018638.**

**What probability distribution would be appropriate for
finding the probability of any individual ticket
winning?**

**Binomial, Negative Binomial, Hypergeometric, or
Poisson?**

**1. How many winning tickets can the senior expect to
have each week?**

**E[X]=**?

USE AT LEAST 4 DIGITS IN THE DECIMAL.

**Standard deviation in the number of winning
tickets?**

**SD[X]=σX=**

USE AT LEAST 4 DIGITS IN THE DECIMAL.

**2. What is the probability that the senior will have at
least 1 winning ticket?**

**P(X≥1)=**

USE AT LEAST 4 DIGITS IN THE DECIMAL.

**at most one winning ticket?**

**P(X≤1)=**

USE AT LEAST 4 DIGITS IN THE DECIMAL.

**Part (c) What is the probability that the senior will
have between 3 and 7 (inclusive) winning tickets?**

USE AT LEAST 4 DIGITS IN THE DECIMAL.

Answer #1

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