Since, population of species A is represented by :
Let us find the population of species A, at the end of week 1:
i.e., x = 1
i.e.,
i.e.,
i.e.,
Also, since population of species B is represented by :
Let us find the population of species B, at the end of week 1:
i.e., x = 1
i.e.,
i.e.,
i.e.,
Thus, at the end of 1 week, species A and species B will have the same population.
Hence, option D is correct.
Answer:
b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The mean of the uniform probability distribution is:
The standard deviation of the uniform distribution is:
The probability that we find a value X lower than x is given by the following formula.
Uniform distribution between 2.93 and 3.1 volts
This means that . So
Mean:
Standard deviation:
What is the probability that a battery has a voltage less than 2.98?
So the correct answer is:
b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941
Answer:
The number of children are 4 out of which 3 are girls
Step-by-step explanation:
Data provided in the question:
P(Two randomly selected children are girls) =
now,
let the number of children be 'n'
the number of girls be 'x'
thus,
P(Two randomly selected children are girls) = =
also,
=
thus,
=
or
=
or
2x(x-1) = n(n-1)
now
for x = 3 and n = 4
i.e
2(3)(3-1) = 4(4-1)
12 = 12
hence, the relation is justified
therefore,
The number of children are 4 out of which 3 are girls