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GuDViN [60]
3 years ago
12

You are to take a multiple-choice exam consisting of 100 questions with 2 possible responses to each question. Let x represent t

he number of correct responses on the test. A) What is your expected score on the exam?B) Compute the variance and standard deviation of x.
Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0

Answer:

50 ;

25 ;

5

Step-by-step explanation:

Given that:

Number of multiple choice questions = 100

Number of possible responses = 2

Hence, probability of success, p = 1/2 = 0.5

Using normal approximation :

The expected score = mean = n*p

Expected score (X) = 100 * 0.5 = 50

standard deviation = std(X) = √

Var(X) = n*p*q

q = 1 - p = 1 - 0.5 = 0.5

Variance = Var(X) = (100 * 0.5 * 0.5)

Var(X) = 25

Var(X) = 25

The Standard deviation (Std) = √Var(X)

Std(X) = √25

Std(X) = 5

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Answer:

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Step-by-step explanation:

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zubka84 [21]

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Step-by-step explanation:

5 0
3 years ago
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ziro4ka [17]
Basically all the information in this problem is useless. They included all those numbers to confuse you. If you read throughly you can see that all you need to know is that Adam's sister can only have 70 grams of fat each day and that her dinner will have 48 grams of fat.

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Your trying to figure out what is 48 percent of 70 because that's how much Adam's sister is going to eat at dinner. So your is would be 48 and your of is 70. When you substitute those numbers your formula becomes 48/70=x/100. Now you cross multiply and get 70x=4800.All that's left is to divide 70 on both sides. Which gives you 68.57.The final answer is 69 percent.
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