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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