The average number of gallons of lemonade sold during a baseball game is 20, with a...

The average number of gallons of lemonade sold during a baseball game is 20, with a standard deviation of 3 gallons. Assume the amount of lemonade sold is normally distributed. When a game is played, find the probability that the amount of lemonade sold is:

A) If 10 games are played, find the probability that the mean amount of lemonade sold is less than 19 gallons

Solutions

Expert Solution

Solution :

Given that ,

mean = = 20

standard deviation = = 3

P( < 19 ) = P(( - ) / < (19 -20) /3 )

= P(z < -0.33 )

= 0.3707

probability = 0.3707

A) n = 10

= = 20

= / n = 3 / 10 = 0.9487

P( < 19 ) = P(( - ) / < (19-20) /0.9487 )

= P(z < -1.05 )

= 0.1469

probability =0.1469

orchestra answered 1 year ago

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