Questions: The probability that the San Jose Sharks will win any given game is 0.3694. An upcoming monthly schedule contains 12 games. The expected number of wins for that upcoming month is: a 1.67 b 12 c 382/1043 d 4.43

The probability that the San Jose Sharks will win any given game is 0.3694. An upcoming monthly schedule contains 12 games. The expected number of wins for that upcoming month is: a 1.67 b 12 c 382/1043 d 4.43
Transcript text: The probability that the San Jose Sharks will win any given game is 0.3694. An upcoming monthly schedule contains 12 games. The expected number of wins for that upcoming month is: Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a 1.67 b 12 c $\frac{382}{1043}$ d 4.43
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Solution

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Solution Steps

To find the expected number of wins, we multiply the probability of winning a single game by the total number of games. This is a straightforward application of the formula for expected value in probability.

Step 1: Determine the Probability of Winning a Single Game

The probability that the San Jose Sharks will win any given game is given as \( p = 0.3694 \).

Step 2: Identify the Total Number of Games

The total number of games scheduled for the upcoming month is \( n = 12 \).

Step 3: Calculate the Expected Number of Wins

The expected number of wins, \( E \), is calculated using the formula for expected value in probability: \[ E = n \times p \] Substituting the given values: \[ E = 12 \times 0.3694 = 4.4328 \]

Final Answer

The expected number of wins for the upcoming month is approximately \(\boxed{4.43}\). Therefore, the answer is d.

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