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JulsSmile [24]
1 year ago
10

Need a little help!!!

Mathematics
1 answer:
telo118 [61]1 year ago
3 0
The answer is 615.44
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Question 4 options: Find the mean and standard deviation for a binomial distribution with 680 trials and a probability of succes
lys-0071 [83]

Answer:

Mean for a binomial distribution = 374

Standard deviation for a binomial distribution = 12.97

Step-by-step explanation:

We are given a binomial distribution with 680 trials and a probability of success of 0.55.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 680 trials

            r = number of success  

           p = probability of success which in our question is 0.55

So, it means X <em>~ </em>Binom(n=680, p=0.55)

<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>

  • Mean of Binomial Distribution is given by;

                    E(X) = n \times p

       So, E(X) = 680 \times 0.55 = 374

  • Standard deviation of Binomial Distribution is given by;

                   S.D.(X) = \sqrt{n \times p \times (1-p)}

                               = \sqrt{680 \times 0.55 \times (1-0.55)}

                               = \sqrt{680 \times 0.55 \times 0.45} = 12.97

Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.

3 0
3 years ago
Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 120.
RSB [31]

Answer:

Inequality : 4x+8 < 120

x<28

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Perimeter of a rectangle (P)= 2 length +2 width

Where:

Width = x

Length = x+4

Replacing with the values given

P = 2 (x+4) + 2x

P = 2x+8+2x

P=4x+8

Since the perimeter of the rectangle must be less than 120:

4x+8 < 120

Solving for x

4x<120-8

4x<112

x<112/4

x<28

Feel free to ask for more if needed or if you did not understand something.  

4 0
2 years ago
A rectangle with area
faust18 [17]

Answer:

Step-by-step explanation

width is 9. length is 14

8 0
2 years ago
Read 2 more answers
Calculate the length of the circumference of a circle with a diameter of 4cm
MakcuM [25]
Length of circumference is 2πr
2 π r and r is equal to 2 cm
I.e 12.5 cm
6 0
3 years ago
an airport offers two shuttles that run on different schedules.If both shuttles leave the airport at 4:00 p.m.,at what time will
otez555 [7]

What are both of their schedules? If they are completely different, then the next time they will leave together is 4:00 pm the next day


3 0
3 years ago
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