Answer to Question #340161 in Statistics and Probability for Maneo

Question

1.A box of billiard balls is inspected. The inspector draws a ball randomly and independently until he finds a ball with a certain brand. It is known that 10% of all balls have that specific brand.

• a). What is the probability distribution function of 𝑋?

• b). What is 𝐸(𝑋) , 𝑉(𝑋) and 𝑀_𝑋(𝑡) ?

• c). What is the probability that 10 balls will be drawn before finding one ball with the required brand?

2.A fair coin is flipped until a head occurs. What is the probability that less than 3 flips are required; that less than 4 flips are required?

Answer 1

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