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MissTica
2 years ago
12

Sixty-eight percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adu

lts and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible. Find the mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results.
Mathematics
1 answer:
Pavlova-9 [17]2 years ago
3 0

Answer:

Mean = 3.4

Variance = 1.088

Standard deviation = 1.0431

Step-by-step explanation:

P=0.68\\ \\N=5

The mean of a binomial distribution with parameters N (the number of trials) and p (the probability of success for each trial) is m=N\cdot p

Thus,

m=5\cdot 0.68=3.4

The variance of the binomial distribution is s^2=Np(1-p), where s^2​​ is the variance of the binomial distribution, so

s^2=5\cdot 0.68\cdot (1-0.68)=3.4\cdot 0.32=1.088

The standard deviation s is the square root of the variance s^2, so

s=\sqrt{1.088}\approx 1.0431

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frutty [35]

Answer:

7.18 light-years

Step-by-step explanation:

6.8 x 10^13 = 68,000,000,000,000

9.46 x10 ^12 = 9,460,000,000,000

6.8 x 10^13  *  1 light year / 9.46 x 10^12 = 7.188 light years.

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6 0
2 years ago
Read 2 more answers
The answer and how you got the answer
olasank [31]

Answer:

\frac{34}{15}

Step-by-step explanation:

we are asked to evaluate

4\tfrac{1}{4}÷1\tfrac{7}{8}

Above we are given mixed fraction which can be converted in proper fraction using formula given below

a\tfrac{b}{c}=\frac{a \times c +b}{c}

Hence

4\tfrac{1}{4}=\frac{4 \times 4 +1}{4}

4\tfrac{1}{4}=\frac{17}{4}

Also

1\tfrac{7}{8}=\frac{1 \times 8 +7}{8}

1\tfrac{7}{8}=\frac{15}{8}

Hence

4\tfrac{1}{4} ÷ 1\tfrac{7}{8}

can be written as

\frac{17}{4} ÷ \frac{15}{8}

Also we know the rule for dividing fraction is as given below

\frac{a}{b} ÷ \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

Hence

\frac{17}{4} ÷ \frac{15}{8} = \frac{17}{4} \times \frac{8}{15}

=\frac{17 \times 2}{15}

=\frac{34}{15}

8 0
3 years ago
Help me with example 2 and 3
PolarNik [594]
Thanks! You got the concept, so use the formula from the top of the page to help you. Use the information provided in the examples and set up the formula with the correct numbers. Then, solve. Then you will find out how much you need to owe.
5 0
3 years ago
Fiona’s school has three hallways that make up three sides of a triangular building design. In the morning, Fiona walks 90 yards
lilavasa [31]

Answer:

"between 30 yards and 150 yards"

Step-by-step explanation:

Let one side of a triangle be x and another side be y. To find the possible lengths of the third side, it is given by:

<u><em>Possible length of 3rd side would be between "x - y" and "x + y"</em></u>

<u><em /></u>

Here, given x = 90 and y = 60, so the possible length of 3rd side would be:

90 - 60 = 30,

90 + 60 = 150

Hence, in between 30 and 150

6 0
3 years ago
Read 2 more answers
Angelo bought a chain that is 4 yards long he wants to cut the chain into 5 equal length pieces how long will each piece of chai
Semmy [17]

Each piece = (4/5) yards

(4/5) yards * 3 feet = 2.4 feet each piece

which equals 2 feet 4.8 inches each


7 0
3 years ago
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