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natali 33 [55]
3 years ago
13

The probability that a randomly selected individual in a certain community has made an online purchase is 0.41 . Suppose that a

sample of 13 people from the community is selected, what is the probability that at most 3 of them has made an online purchase?
Write only a number as your answer. Round to 2 decimal places (for example 0.24). Do not write as a percentage.
Mathematics
1 answer:
andreev551 [17]3 years ago
4 0

Answer:

0.15

Step-by-step explanation:

What we can use to solve this problem is the Bernoulli approximation of the Binomial distribution.

When we say at most 3, it means 0 or 1 or 2 or 3 people out of the 13 made the purchase

Mathematically, the Bernoulli approximation is applied as follows

P(X = n) = nCr p^r q^n-r

let p = probability of making online purchase = 0.41

while q = 1-p = 1-0.41 = 0.59 which is the probability of not making an online purchase.

Mathematically for each of the approximations up to 3, we have ;

13C0 P^0 q^13 + 13C1 P^1 q^12 + 13C2 P^2 q^11 + 13C3 P^3 q^10

Making substitutions, we have

{1 * 0.41^0 * 0.59^13} + {13 * 0.41^1 * 0.59^12} + {78 * 0.41^2 * 0.59^11} + {286 * 0.41^3 * 0.59^10}

= 0.150820944904 which is 0.15 to 2 decimal places

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ElenaW [278]

Answer:

Q 12 roots of the equation

2x^{2} -6+1=0 \\= (x-\frac{\sqrt{10} }{2})(x+\frac{\sqrt{10} }{2})\\

∝ = \frac{\sqrt{10} }{2}

β = -\frac{\sqrt{10} }{2}

no matter if u oppose the root

(i) 2(\frac{\sqrt{10} }{2})(-\frac{\sqrt{10} }{2} )^{2}+2(\frac{\sqrt{10} }{2} )^{2}(-\frac{\sqrt{10} }{2})+2(

(ii)((\frac{\sqrt{10} }{2})^{2} - 3 (\frac{\sqrt{10} }{2})(-\frac{\sqrt{10} }{2}) + ((-\frac{\sqrt{10} }{2})^{2}) = \frac{25}{2}

Q 13  roots of equation

4x^{2} -3x-4=0\\\alpha = -0.693\\\beta = 1.443

the roots of the second equation are

x1 = 1/3(-0.693) = -0.231

x2 = 1/3(1.443) = 0.481

the equation is

(x+0.231)(x-0.481)=0

x^{2}-\frac{1}{4} x-\frac{1}{9}

4 0
3 years ago
For which would you draw a solid boundary line and shade to the right?
PilotLPTM [1.2K]

Answer:

x ≤ -3

Step-by-step explanation:

For solid lines you would do ≤ or ≥, then for shading on the right side you would need < or ≤

4 0
2 years ago
The volume of water in a tank is modeled by the function y = 1.15x3 – 0.1x2 + 2 where x is the number of minutes after the fauce
Thepotemich [5.8K]

Given:

The volume of water in a tank is modeled by the function

y=1.15x^3-0.1x^2+2

where, x is the number of minutes after the faucet filling the tank is turned on.

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The y-intercept and what does it represent in this context?

Solution:

We have,

y=1.15x^3-0.1x^2+2

Substituting x=0, we get

y=1.15(0)^3-0.1(0)^2+2

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7 0
3 years ago
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Find a solution to y3=117
sammy [17]

Answer:39

Step-by-step explanation:

y(3)  = 117

3y/3 =117/3

     y = 39

6 0
3 years ago
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What is the value of In e^4<br> a.0<br> b.1<br> c.2<br> d.4
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\large\begin{array}{l} \textsf{Computing the value of }\mathsf{\ell n (e^4).}\\\\\\ \textsf{Using logarithg properties:}\\\\ \textsf{(logarith of a power)}\\\\ \mathsf{\ell n(e^4)}\\\\ =\mathsf{4\cdot \ell n\,e}\qquad\quad\textsf{(but }\mathsf{\ell n\,e=1}\textsf{)}\\\\ =\mathsf{4\cdot 1}\\\\ =\mathsf{4}\qquad\checkmark\\\\\\\ \textsf{Correct answer: d. 4.} \end{array}


<span>If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2113397


\large\textsf{I hope it helps.}
</span>

Tags: <em>logarithm value compute power property natural log ln</em>

7 0
3 years ago
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