The mean value of land and buildings per acre from a sample of farms is $1300, with a standard deviation of $200. The data se
t has a bell-shaped distribution. Assume the number of farms in the sample is 74.
(a) Use the empirical rule to estimate the number of farms whose land and building values per acre are between $1100 and $1500.
(a) Use the empirical rule to estimate the number of farms whose land and building values per acre are between $1100 and $1500.
1 answer:
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Answer: 0.5
Step-by-step explanation:
Given : Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa.
i.e. Flight time = 2(60) +5= 125 minutes [∵ 1 hour = 60 minutes]
Actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes.
i.e. In minutes the flight times are between 120 minutes and 140 minutes.
Let x be a uniformly distributed variable in [120 minutes, 140 minutes] that represents the flight time.
Since the probability density function for x uniformly distributed in [a,b] is
⇒ Probability density function for flight time :
5 minutes late than usual time = Flight time+ 5 = 125+5 = 130 minutes
Now , the probability that the flight will be no more than 5 minutes late will be :-
Hence, the probability that the flight will be no more than 5 minutes late is 0.5.