The normal approximation to the binomial distribution
 

The normal approximation to the binomial distribution problem 9


In a game, players attempt to score a goal by kicking a ball into a net. The probability that Leno scores a goal is 0.4 on any attempt, independently of all other attempts. The random variable denotes the number of attempts that it takes Leno to score a goal. Leno has 75 attempts to score a goal. Use a suitable approximation to find the probability that Leno scores more than 28 goals but fewer than 35 goals.


 

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