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6.A second species of extra-terrestrial has a mean height of 71cm and a standard deviation of 5.3cm. An astrobiologist discovers that 30% of the extra-terrestrials

6.A second species of extra-terrestrial has a mean height of 71cm and a standard deviation of 5.3cm. An astrobiologist discovers that 30% of the extra-terrestrials bump their heads when they enter their spacecraft. What is the height of the door to the spacecraft?(6marks)

7.In Bayfield, Ontario 65% of residents read theBayfield Breeze, a local online blog. Dennis wants to know what people think of the blog, so he stops 40 people on the street to ask them if they read it.

a)Verify that the normal distribution can be used to approximate this situation.(3marks)

b)What is the mean and standard deviation of the number of people who read the Breeze?(3marks)

c)What is the probability that at least 25 of the people he surveys read the blog?(3marks)

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