If z is a standard normal variable, find the probability.
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We know that the probability of a certain hockey player making a goal after hitting a slap shot is .
We need to figure out the number of successful slap shots if she makes 120 attempts?
Since the player is able to make a goal once out of 5 attempts. Therefore, in order to find the number of goals that we can expect the player to make successfully if she attempts 120 slap shots we will multiply the probability with 120.
Number of successful goals = (Probability of making one goal)x(Number of attempts)
Number of successful goals = .
Therefore, player will be able to make 24 goals out of 120 attempts.