The quickest way to solve this is

8(0)+4y=2 (since we are looking for y we are going to put 0 in the x intercept) with that all we have left is this

4y=2 next we divide 4 on both sides in order to get y by itself.
2/4=0.5
y=0.5 or 1/2.

5 0

3 years ago

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Suppose that the IQs of universityâ€‹ A's students can be described by a normal model with mean 140 and standard deviation 8 poi

AnnZ [28]

Answer:

0.0266, 0.9997,0.7856

Step-by-step explanation:

Given that the IQs of universityâ€‹ A's students can be described by a normal model with mean 140 and standard deviation 8 points. Also suppose that IQs of students from university B can be described by a normal model with mean 120 and standard deviation 11. Let x be the score by A students and Y the score of B.

A) $P(X>135) = \\P(Z>0.625)\\=0.0266$

B) Since X and Y are independent we have

X-Y is Normal with mean = 140-120 =20 and $Var (x-y)=Var(x)+Var(y) = 19$

$P(X-Y)>5\\\\=1-0.00029\\=0.9997$

C) For a group of 3, average has std deviation = $\frac{11}{\sqrt{3} } \\=6.351$

$P(\bar y >115)\\= P(z>\frac{-5}{6.351} \\=0.7856$

3 0

3 years ago