Answer:
Step-by-step explanation:
Answer:
10.
x P(X)
0 0.238
1 0.438
2 0.269
3 0.055
11.
0.707
There is 70.7% chance that at least one but at most two adults in the sample believes in the ghost
12.
1.14≅1
There will be one adult out of three we expect to believe in the ghost
Step-by-step explanation:
The probability distribution is constructed using binomial distribution.
We have to construct the probability distribution of the number adults believe in ghosts out of three adults. so,
x=0,1,2,3
n=3
p=probability of adults believe in ghosts=0.38
The binomial distribution formula
nCxp^xq^n-x=3cx0.38^x0.62^3-x
is computed for x=0,1,2,3 and the results depicts the probability distribution of the number adults believe in ghosts out of three adults.
x P(X)
0 0.238
1 0.438
2 0.269
3 0.055
11.
P(at least one but at most two adults in the sample believes in the ghost )= P(x=1)+P(x=2)=0.437+0.269=0.707
P(at least one but at most two adults in the sample believes in the ghost )=70.7%
12. E(x)=n*p
here n=3 adults and p=0.38
E(x)=3*0.38=1.14
so we expect one adult out of three will believe in the ghosts.
X + 20 <= √x + 9
x <= √x - 11
This can't be true without using imaginary numbers...
Any number of x greater than 0 will result in a false statement
Any number of x less than 0 will result in an imaginary number because of √x
A whole turn around the circumference is an angle of 2pi.
So, two turns are 4pi, and three turns are 6pi.
With every turn the trigonometric functions reset, because you keep visiting the same points along the circumference.
This is why we have
i.e. the value of a trigonometric function (in this case the cosine) doesn't change if you add another turn around the circumference.
In this case, we have
i.e. an angle of 7pi means to make 3 turns around the circle, and then an additional angle of pi. Since the 3 turns are irrelevant, we finally have