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There is a raffle with 250 tickets. One ticket will wh 200 prize, five tickets will win a 90 prize, seventeen tickets will win a 40 prize, and the other tickets will win nothing. X is the payoff for one ticket in the raffle. Write the probability distribution of X in the table below Write each probability as an exact decimal. x & P(x) 4) & 4) & 4) & 4) &

Pergunta

There is a raffle with 250 tickets. One ticket will wh  200 prize, five tickets will win a  90 prize, seventeen tickets will win a  40 prize, and the other tickets will win nothing. X is the payoff for one ticket in the raffle. Write the probability distribution of X in the table below
Write each probability as an exact decimal.

 x & P(x) 
 4)  & 
 4)  & 
 4)  & 
 4)  &

There is a raffle with 250 tickets. One ticket will wh 200 prize, five tickets will win a 90 prize, seventeen tickets will win a 40 prize, and the other tickets will win nothing. X is the payoff for one ticket in the raffle. Write the probability distribution of X in the table below Write each probability as an exact decimal. x & P(x) 4) & 4) & 4) & 4) &

Solução

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TommyElite · Tutor por 8 anos

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### <br />\[<br />\begin{array}{|c|c|}<br />\hline<br />X & P(X) \\<br />\hline<br />200 & 0.004 \\<br />\hline<br />90 & 0.02 \\<br />\hline<br />40 & 0.068 \\<br />\hline<br />0 & 0.908 \\<br />\hline<br />\end{array}<br />\]

Explicação

## Step 1: Identify the possible payoffs<br />### The possible payoffs for one ticket in the raffle are \( \$200 \), \( \$90 \), \( \$40 \), and \( \$0 \).<br /><br />## Step 2: Determine the number of tickets for each payoff<br />### There is 1 ticket that wins \( \$200 \), 5 tickets that win \( \$90 \), 17 tickets that win \( \$40 \), and the remaining tickets (250 - 1 - 5 - 17 = 227) win nothing (\$0).<br /><br />## Step 3: Calculate the probabilities for each payoff<br />### The probability \( P(X = x) \) is calculated by dividing the number of tickets with payoff \( x \) by the total number of tickets (250).<br />- For \( X = 200 \): \( P(X = 200) = \frac{1}{250} = 0.004 \)<br />- For \( X = 90 \): \( P(X = 90) = \frac{5}{250} = 0.02 \)<br />- For \( X = 40 \): \( P(X = 40) = \frac{17}{250} = 0.068 \)<br />- For \( X = 0 \): \( P(X = 0) = \frac{227}{250} = 0.908 \)<br /><br />## Step 4: Fill in the table with the calculated probabilities<br />### Using the calculated probabilities, we can fill in the table as follows:<br /><br />\[<br />\begin{array}{|c|c|}<br />\hline<br />X & P(X) \\<br />\hline<br />200 & 0.004 \\<br />\hline<br />90 & 0.02 \\<br />\hline<br />40 & 0.068 \\<br />\hline<br />0 & 0.908 \\<br />\hline<br />\end{array}<br />\]
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