Question
In: Statistics and Probability
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 3 years agoRelated Solutions
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