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Anastaziya [24]
3 years ago
6

A group of students at a school takes a history test. The distribution is normal with a mean of 25, and a standard deviation of

4. (a)Everyone who scores in the top 30% of the distribution gets a certificate. What is the lowest score someone can get and still earn a certificate?
Mathematics
1 answer:
Anna [14]3 years ago
8 0

Answer:

27.1

Step-by-step explanation:

Given:

mean=25

standard deviation=4

z0.70=0.525

z=\frac{x-mean}{standard deviation}

z*sd = x-mean= 2.1

the  lowest score for the top 30%: x=27.1

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<h3><u>Hence </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> the</u><u> </u><u>shaded </u><u>region</u><u> is</u><u> </u><u>2</u><u>6</u><u>4</u><u> </u><u>cm²</u><u>.</u></h3>

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