Imagine a carnival game that involves spinning a wheel. There is a 30% chance that a player will win a prize when they play the game. A player will play the game 50 times. What is the probability that the player wins less than 20% of the games played? Round your z to two decimal places, use the Z table and keep all 4 decimals from the table.

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Imagine a carnival game that involves spinning a wheel.

There is a 30% chance that a player will win a prize when they play the game.

A player will play the game 50 times.

What is the probability that the player wins less than 20% of the games played?

Round your z to two decimal places, use the Z table and keep all 4 decimals from the table.

 

Expert Solution
Step 1

Given that,

There is a 30% chance that the player will win a prize.

The probability of success is p=0.30

The sample size is n=50

The sampling distribution of the sample proportion is normal with a mean p and standard deviation p(1-p)n

with following conditions

np10n(1-p)10

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