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kupik [55]
3 years ago
8

In a history class, students take a weekly multiple choice quiz consisting of 6 questions, each with 4 possible answers. if a st

udent randomly guesses at the answer to each question for every quiz, then what is the mean number of correct answers the student will get on each quiz?
Mathematics
1 answer:
Mademuasel [1]3 years ago
8 0
There are 24 possible answers, 6 are correct answers and 18 are incorrect answers. By use of the hypergeometric distribution the probabilities of each possible number of randomly selected correct answers can be found, as follows:
P(0) = 0.1379, P(1) = 0.3819, P(2) = 0.341, P(3) = 0.1213, P(4) = 0.017, P(5) = 0.0008, P(6) = 0.000007.
The expected or mean number of correct answers is found from:
E(X)=0\times0.1379+1\times0.3819+2\times0.341+3\times0.1213+4\times0.017+5\times0.0008+6\times0.000007=1.4998
The answer is: 1.4998

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Which expression correctly represents eight times the difference of 4 and a number
expeople1 [14]

Answer:

The expression for two times the difference of 4 and a number  is

8(4-d)

Step-by-step explanation:

To Find:

Write an expression for Eight times the difference of 4 and a number.

Solution:

Let the Unknown number be 'd'

Difference of 4 and d                        =      ( 4 - d )

So One Time Difference of 4 and d =  1× ( 4 - d )

∴   Two Times Difference of 4 and d = 2× ( 4 - d )

∴   Eight Times Difference of 4 and d = 8× ( 4 - d )

The expression for Eight times the difference of 4 and d. will be

8(4-d)

The expression for Eight times the difference of 4 and a number  is

8(4-d)

6 0
3 years ago
Suppose a line L has an equation Ax+By+C==0, what is the slope of L if B=0 and A does not equal 0
White raven [17]
If B=0, and A≠0, then
Ax+C=0, or x=-C/A, a constant value.
This signifies L is a vertical line with slope ∞
8 0
3 years ago
Which symbol makes this statement true? 0.35 ____ 1/4<br> &lt;, &gt;, =
alekssr [168]

Answer:

>

Step-by-step explanation:

if you change 1/4 into a decimal, it turns into 0.25. So 0.35 is greater than 0.25

4 0
3 years ago
4. What do your measurements in #3 tell you about the lengths of PR and QS ? Explain your thinking and then
alekssr [168]

Answer:mn

Step-by-snbtep explanation:

4 0
2 years ago
For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a beverly hi
AleksAgata [21]
The probability any one system works is 0.99
So the probability of any one system failing is 1-0.99 = 0.01, so basically a 1% chance of failure for any one system

Multiply out the value 0.01 with itself four times
0.01*0.01*0.01*0.01 = 0.000 000 01
I'm using spaces to make the number more readable
So the probability of all four systems failing is 0.00000001
Subtract this value from 1 to get
1 - 0.00000001 = 0.99999999

The answer is 0.99999999 which is what we'd expect. The probability of at least one of the systems working is very very close to 1 (aka 100%)
7 0
3 years ago
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