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3 years ago

Assume that a procedure yields a binomial distribution with a trial repeated n times. use the binomial probability formula to fi

nd the probability of x successes given the probability p of success on a single trial. round to three decimal places. n = 30, x = 5, p = 1/5

Mathematics

1 answer:

Mamont248 [21]3 years ago

8 0

$P(5\ successes)=30C5\times(\frac{1}{5})^{5}\times(\frac{4}{5})^{25}=0.172$

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(BRAINLIEST TO THE BEST ANSWER + PLEASE ANSWER PROPERLY, OR YOUR ANSWER WILL BE REPORTED. DON'T FORGET TO THOROUGHLY EXPLAIN.) J

KatRina [158]

Hey there!

In order to answer this question, it's easiest to start with one of the money amounts and work your way to the other ones. Keep in mind that, no matter what, the amount of collective money won't exceed 1.50, meaning you can't have two 1 dollar bills, etc. When I wrote it out, I did it in this order:

1 = 1 dollar
0.5 = Half dollar
0.25 = Quarter

1 + 0.5 = 1.50
1 + 0.25 + 0.25 = 1.50
0.5 + 0.5 + 0.5 = 1.50
0.5 + 0.5 + 0.25 + 0.25 = 1.50
0.5 + (0.25*4) = 1.50
0.25*6 = 1.50

Since no other combinations add up to 1.50, your answer is 6.

Hope this helped you out! :-)

4 0

3 years ago

4. A Christmas promotion included a $2.5 mail-

Svetlanka [38]

Answer:

Step-by-step explanation:

8 0

3 years ago

Mario has read two less than four times the number of books Tonya has read. what factored expression represents the number of bo

igor_vitrenko [27]

Let X be the variable used to represent the expression of the total number of books that Mario has read.
We used 4X to represent "four times the number of books". Then we add -2 to interpret the words "for two less than".
Therefore, we have an expression of 4X-2 for the total number of books that Mario has read.

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4 years ago

The edge roughness of slit paper products increases as knife blades wear. Only 1% of products slit with new blades have rough ed

Masteriza [31]

Answer: Our required probability is 2.8%.

Step-by-step explanation:

Since we have given that

Probability of products slit with new blades have rough edges P(X) = 1%

Probability of products slit with blades of average sharpness exhibit roughness P(Y) = 3%

Probability of products slit with worn blades exhibit roughness P(Z) = 5%

Let A be the selected product that exhibit edge roughness.

P(A|X) = 25% = 0.25

P(A|Y) = 60% = 0.60

P(A|Z) = 15% = 0.15

So, the probability of products that exhibit edge roughness is given by

$P(X)P(A|X)+P(Y)P(A|Y)+P(Z)P(A|Z)\\\\=0.01\times 0.25+0.03\times 0.60+0.05\times 0.15\\\\=0.028\\\\=2.8\%$

Hence, our required probability is 2.8%.

8 0

3 years ago

Write an equation in Standard Form of the line passing through (5, -4) with a slope of -2/5.

beks73 [17]

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

where

m is the slope

( x1 , y1) is the point

From the question the points is (5, -4) and slope - 2/5

The equation is

$y + 4 = - \frac{2}{5} (x - 5) \\ y + 4 = - \frac{2}{5} x + 2 \\ y = - \frac{2}{5} x + 2 - 4$

We have the final answer as

$y = - \frac{2}{5} x - 2 \\$

Hope this helps you

7 0

3 years ago