f you play the game 915 times, what is the most likely number of wins?

Question

You are playing a card came, and the probability that you will win a game is .

If you play the game 915 times, what is the most likely number of wins?=

(Round answer to one decimal place.)

 = Let  represent the number of games (out of 915) that you win. Find the standard deviation for the probability distribution of .

(Round answer to two decimal places.)

σ = 

The range rule of thumb specifies that the minimum usual value for a random variable is μ–2σ and the maximum usual value is μ+2σ. You already found  and  for the random variable .

Use the range rule of thumb to find the usual range of  values. Enter answer as an interval using square-brackets and only whole numbers.usual values = 

Answer 1

most likely number of wins = 915 * 0.48 = 439.2

standard deviation = square root(915*0.48*0.52) = 15.11

[439.2-2*15.11,439.2+15.11*2] = [408.98,469.42]