Question

Can you help me with this? I don't get it

Answer 1

Given:

Hugo plans to buy packs of baseball cards until he gets the card of his favourite player.

He has enough money to buy at most 4 packs.

The probability of each pack containing the desired card is 0.2.

The probability distribution is,

X 1 2 3 4

P(X) 0.2 0.16 0.128 512

Required:

The probability that Hugo buys at most 3 packs of cards.

Step-by-step explanation:

The probability that Hugo buys at most 3 packs of cards.

`\begin{gathered} P(X\leq3)=P(X=1)+P(X=2)+P(X=3) \\ P(X\leq3)=0.2+0.16_+0.128 \\ P(X\leq3)=0.488 \end{gathered}`

Final Answer:

The probability that Hugo buys at most 3 packs of cards is 0.488.