4 . ( 5 pts ) Suppose we have a 20% chance of winning a game and play 30 times . What is the probability we win the game 4 - 13 times ( note : 4 and

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4 . ( 5 pts ) Suppose we have a 20% chance of winning a game and play 30 times . What is theprobability we win the game 4 - 13 times ( note : 4 and 13 are included in the interval ) ? Showyour work . If you use a calculator , you must identify the list ( s ) and / or function ( s ) , withinput ( S ) , you used . Give your answer to three decimal places .5 . (5 pts) If the random variable X , representing the weight of males , is normally distributedwith a mean of 85 kilograms and a standard deviation of 4 kilograms , what is the proportionof males with a weight greater than 93 kilograms ? Show your work . If you use acalculator , you must identify the list ( s ) and / or function ( s ) , with input ( s ) , you used . Give your*answer to three decimal places .6 . ( 3 pts ) Draw the normal curve corresponding to problem 5 . Identify the location of the meanon the horizontal axis ; also shade in the area corresponding to the proportion of males witha weight greater than 93 kilograms .7 . ( 6 pts ) If the random variable X , representing the weight of males , is normally distributedwith a mean of 85 kilograms and a standard deviation of 4 kilograms , what are the x , i .e .data values , corresponding to the middle 72% of the associated normal curve ? Show yourwork . If you use a calculator , you must identify the list ( s ) and/ or function ( s ) , with input ( s ) .you used . Give your answers to two decimal places .