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NeX [460]
3 years ago
8

Suppose in a math class of 22 students, 14 are boys and 8 are girls. On the final exam, 4 boys and 6 girls made an A grade. 1) I

f a student is chosen at random from the class, what is the probability
of choosing a girl or an A student?
A)
10/11
B)
2/11
Eliminate
3/11
D)
6/11
2) If a student is chosen at random from the class, what is the probability
of choosing a boy or an A student?
A)
10/11
B)
2/11
C)
3/11
D)
6/11
PLSSSS HELP!!!!!!
Mathematics
1 answer:
DerKrebs [107]3 years ago
5 0

Answer:

1 is A 2 Is B

Step-by-step explanation:

I hope this helps

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The scores on the LSAT are approximately normal with mean of 150.7 and standard deviation of 10.2. (Source: www.lsat.org.) Queen
faltersainse [42]

Answer:

a=150.7 -0.385*10.2=146.773

So the value of height that separates the bottom 35% of data from the top 65% (Or the 35 percentile) is 146.7.  

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Solution to the problem

Let X the random variable that represent the  scores on the LSAT of a population, and for this case we know the distribution for X is given by:

X \sim N(150.7,10.2)  

Where \mu=150.7 and \sigma=10.2

We want to find a value a, such that we satisfy this condition:

P(X>a)=0.65   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.35 of the area on the left and 0.65 of the area on the right it's z=-0.385. On this case P(Z<-0.385)=0.35 and P(Z>-0.385)=0.65

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

Z=-0.385

And if we solve for a we got

a=150.7 -0.385*10.2=146.773

So the value of height that separates the bottom 35% of data from the top 65% (Or the 35 percentile) is 146.7.  

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Answer:

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Step-by-step explanation:

If Roland uses $289 to purchase the laptop from the $500 that was given to him then he would be left with

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