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Kitty [74]
3 years ago
10

for each question on a five question multiple choice test, there are four possible answers which exactly one is correct. A stude

nt, who did not study or attend class, is going to select his answeres is completely at random. If the random variable x represents the number of correct answers he selects, write the probability distribution of the random varuable x
Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0

Answer:

X follows a Binomial Distribution with n = no. of questions and p = ¼

X ~ B(n , 0.25)

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i bougth 3 bags of candy and 1 drink for 3.20 dollars. my sister bought 2 bags of candy and 4 drinks for 6.30 dollars. how much
motikmotik

Answer:

Step-by-step explanation:

We can set up two equations:  one for each sister:

Let C and D be the prices for a Candy bag and and Drink.  

Sister 1:  3C + 1D = 3.20  [The total spent by sister 1 is the sum of 3 candy bags(C) and 1 drink (D), which comes to $3.20.]

Sister 2:  2C + 4D = 6.30  [The total spent by sister 2 is the sum of 2 candy bags(C) and 4 drinks (D), which comes to $6.30.]

We have two unknowns, C and D, BUT we have 2 equations.  Therefore, we're likely going to be able to solve for C and D if we rearrange one of the equations to isolate one of the unknowns, and then use that expression in the other equation.  Seems unlikely, but it always works.

I'll pick Sister 1's equation and solve for D, the price of a drink:

3C + 1D = 3.20

1D = 3.20 - 3C  [This tells us the price of a drink is 3.20 - 3C]

Use this definition of 1D in Sister 2's equation:

2C + 4D = 6.30

2C + 4(3.20 - 3C) = 6.30

2C + 12.80 - 12C = 6.30

-10C = - 6.5

C = $0.65

One candy bag, C, is $0.65.

Use this value of C in any equation to find D, the cost of 1 drink.  I'll pick The expression we derived above:

1D = 3.20 - 3C

1D = 3.20 - 3(0.65)

1D = 3.20 - 1.95

1D = $1.25

One drink, D, is $1.25.

===================

Check the values:

Candy Bags = $0.65 each    Drinks = $1.25 each

             Reported    

Sister        <u> </u><u> 1      2      1       2  </u>

Candy bags    3  2       $1.95   $1.30  

Drinks         1  4          $1.25   $5.00  

                $3.20   $6.30 Calculated

                 $3.20    $6.30 Reported

T

4 0
2 years ago
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