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Nitella [24]
2 years ago
14

Find the indicated probabilities using the geometric distribution, Poisson distribution, or the binomial distribution. The mean

number of births per minute in a given country in a recent year was about 6. Find the probability that the number of births in any given minute is exactly five. Round to four decimal places as needed.
Mathematics
1 answer:
ExtremeBDS [4]2 years ago
8 0

Answer:

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

In this question:

We only have the mean during an interval, and this is why we use the Poisson distribution.

The mean number of births per minute in a given country in a recent year was about 6.

This means that \mu = 6

Find the probability that the number of births in any given minute is exactly five.

This is P(X = 5). So

P(X = 5) = \frac{e^{-6}*6^{5}}{(5)!} = 0.1606

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

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kicyunya [14]

Answer:

=2 7/12 is needed on sunday

Step-by-step explanation:

Friday + Saturday + Sunday = total time studying

1 1/4 + 2 2/3 + sunday = 6 1/2

Get a common denominator of 12

1/4*3/3 =3/12

2/3 *4/4 =8/12

1/2 *6/6=6/12

1 3/12   + 2 8/12 + sunday = 6 6/12

Combine terms

3 11/12 + sunday = 6 6/12

Subtract 3 11/12 from each side

3 11/12  - 3 11/12 + sunday = 6 6/12 - 3 11/12

sunday =  6 6/12 - 3 11/12

Borrow 1 from 6 in the form of 12/12

sunday =  5 + 12/12+ 6/12 - 3 11/12

            = 5 18/12 - 3 11/12

             =2 7/12

5 0
3 years ago
What would be the answer for part b ?? i really need help !
Scilla [17]

Answer:

Area = 525 ft²

Step-by-step explanation:

Area of rectangle = Length × Width

Length = 20 + 15 = 35 ft

Width = 15 ft

Area = 35 ft × 15 ft = 525 ft²

5 0
2 years ago
The x coordinate of the solution to the system of equations y=x+4 and 3y=-2x+2
Vera_Pavlovna [14]
<h2>Hello!</h2>

The answer is:

The x-coordinate of the solution to the system of equations is:

x=-2

<h2>Why?</h2>

We can solve the problem writing both equations as a system of equations.

So, we are given the equations:

\left \{ {{y=x+4} \atop {3y=-2x+2}} \right.

Then, solving by reduction we have:

Multiplying the first equation by 2 in order to reduce the variable "x", we have:

\left \{ {{2y=2x+2*4} \atop {3y=-2x+2}} \right.

5y=2x-2x+8+2\\\\5y=8+2\\\\y=\frac{10}{5}=2

Now, substituting "y" into the first equation, to isolate "x" we have:

y=x+4\\\\2=x+4\\\\x=2-4=-2

Hence we have that the x-coordinate of the solution to the system of equations is

x=-2

Have a nice day!

3 0
3 years ago
Read 2 more answers
100 points + first decent answer gets brainliest
Ivahew [28]

Answer:

See explanation

Step-by-step explanation:

Selected theme park admission prices has the lower standard deviation.

Specific home stereo system's distribution is more spread out since the ratio between the standard deviation and the mean is greater compared to that of selected theme park admission prices.

specific home stereo system: 3.99/59=0.0676.

selected theme park admission prices: 4/1499=0.002668

0.0676>0.002668

8 0
1 year ago
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If 3m = 12, what is the value of 6(m - 1)?
Bezzdna [24]
12/3=4 
so m=4

6x4=24
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24-6=18
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3 years ago
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