The Daily Prophet reported that the average price of a house in Godrics Hollow i

Question

The Daily Prophet reported that the average price of a house in Godrics Hollow is $46,000. Unfortunately, they did not report the shape of the distribution so it is presumed as unknown and not to be normal. What they did report was that 60% of the housing prices fell between $38,100 and $53,900. Based on this information, what is the value of the standard deviation? ________________________________

The average length of time that a Quidditch match lasts is known to be 60 minutes, with a standard deviation of 4 minutes. Because weather and curses can play a part in the length of time these games last, it cannot be assumed that they follow a normal distribution. Since the time of Quidditch matches is not normally distributed, at least what percentage of Quidditch matches will last between 52 and 68 minutes?

68%

95%

75%

Since the distribution is not normal, cannot be determined.

68%

95%

75%

Since the distribution is not normal, cannot be determined.

Explanation / Answer

Sol:

mean=60 min

sd=4min

P(52<X<68)

z=x-mean/sd

P(52-60/4<Z<68-60/4)

P(-2<Z<2)

Need to find the above prob

P(Z<2)-P(Z<-2)

=0.9772-0.0228

=0.9544
ANSWER 0.9544

0.9544*100=95.44%

ANSWER 95%

OPTION B

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