The number of trials and the probability of obtaining success will be given as P(X ≤ 2) = 0.9728.
<h3>How to find that a given condition can be modeled by binomial distribution?</h3>
Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
X \sim B(n,p)
The probability that out of n trials, there'd be x successes is given by
![\rm P(X =x) = \: ^nC_xp^x(1-p)^{n-x}](https://tex.z-dn.net/?f=%5Crm%20P%28X%20%3Dx%29%20%3D%20%5C%3A%20%5EnC_xp%5Ex%281-p%29%5E%7Bn-x%7D)
Assume the random variable X has a binomial distribution with the given probability of obtaining success.
Then the number of trials and the probability of obtaining success will be
P(X ≤ 2), n = 4, p = 0.2
Then we get
![\rm P(X =2) = \: ^4C_2(0.2)^2(1-0.2)^{4-2}\\\\P (X=2) = 6 \times 0.0256 \\\\P (X=2) = 0.1536](https://tex.z-dn.net/?f=%5Crm%20P%28X%20%3D2%29%20%3D%20%5C%3A%20%5E4C_2%280.2%29%5E2%281-0.2%29%5E%7B4-2%7D%5C%5C%5C%5CP%20%28X%3D2%29%20%3D%20%206%20%5Ctimes%200.0256%20%5C%5C%5C%5CP%20%28X%3D2%29%20%3D%200.1536)
Then the cumulative probability will be
![\rm P(X\leq 2) = 0.9728](https://tex.z-dn.net/?f=%5Crm%20P%28X%5Cleq%202%29%20%3D%200.9728)
Learn more about binomial distribution here:
brainly.com/question/13609688
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If you you simplify the information to this,
Sunrise Donuts is 2$ per donut and 2 for 4$.
Fresh Donuts are 2.50$ per donut at 4 for 10$.
Delicious Donuts are 3.50$ per donut at 6 for 21$.
The best deal would be Sunrise Donuts are 2$ per donut.
I hope this helps, vote brainliest if this has helped you with your question.
Thank you.
Answer:
n=109
Step-by-step explanation:
654/6 = 109 so n=109
Answer:$6.54
i got this by dividing the price by the amount because unit price is price per unit and so one of these items should cost 6.54
Answer:
832 square feet of paint is needed to covet pool walls
Step-by-step explanation:
<u><em>The correct question is</em></u>
A swimming pool is 40 ft long 12 ft <em><u>wide</u></em> and 8 feet deep how many square feet of paint is needed to cover the walls of the pool?
To find out the area of the walls, multiply the perimeter of the base by the deep of the walls
so
![A=2(L+W)D](https://tex.z-dn.net/?f=A%3D2%28L%2BW%29D)
we have
![L=40\ ft\\W=12\ ft\\D=8\ ft](https://tex.z-dn.net/?f=L%3D40%5C%20ft%5C%5CW%3D12%5C%20ft%5C%5CD%3D8%5C%20ft)
substitute
![A=2(40+12)8](https://tex.z-dn.net/?f=A%3D2%2840%2B12%298)
![A=832\ ft^2](https://tex.z-dn.net/?f=A%3D832%5C%20ft%5E2)
therefore
832 square feet of paint is needed to covet pool walls