How to derive the formula for the surface area of a cylinder?

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Random voting:

So 50% of voting yes, 50% no, so $p = 0.5$

15 members:

This means that $n = 15$

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

$p = P(X = 0) + P(X = 15)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003$

$P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003$

So

$p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006$

0.006% probability that the final vote count is unanimous.

7 0

1 year ago

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which

luda_lava [24]

Y=(x-h)^2+k
a shift to the right by c units would be y=(x-h-c)^2+k
so 5 to the right
g(x)=(x+3-5)^2-10
g(x)=(x-2)^2-10
first option

8 0

2 years ago

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Iesha’s quality-control manager told her she must have 97% of her clocks functioning properly. She found a report that said 6 ou

german

Answer:

Keisha’s experimental probability is 1/50.
When the inventory is 4000 clocks, the prediction is that 3920 clocks will work.
Keisha will have more than 97% of the products working.

Step-by-step explanation:

These are three prediction that Keisha can make based on the report that said 6 of 300 clocks tested weren't working.

Base on that information, Keisha can calculate an experimental probability, dividing clocks that don't work properly by the total amount of clocks:

$P_{clocks} = \frac{6}{300}=\frac{1}{50} = 0.02 (or 2\%)$

Therefore, the probability of success is 100% - 2% = 98%.

This means that Keisha has a probability of having 98% of all clocks functioning properly. So, she can make the prediction: from 4000 clocks, 3920 will work. Also, she can predict that she will actually have more than 97% working, because the experimental probability is higher than that.

6 0

1 year ago

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