Answer and Explanation:
Given : Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder.
To find :
a. Does the table show a probability distribution?
b. Find the mean and standard deviation of the random variable x.
Solution :
a) To determine that table shows a probability distribution we add up all six probabilities if the sum is 1 then it is a valid distribution.
Yes it is a probability distribution.
b) First we create the table as per requirements,
x P(x) xP(x) x² x²P(x)
0 0.029 0 0 0
1 0.147 0.147 1 0.147
2 0.324 0.648 4 1.296
3 0.324 0.972 9 2.916
4 0.147 0.588 16 2.352
5 0.029 0.145 25 0.725
∑P(x)=1 ∑xP(x)=2.5 ∑x²P(x)=7.436
The mean of the random variable is
The standard deviation of the random sample is
Therefore, The mean is 2.5 and the standard deviation is 1.08.
Answer is C 66.11>66.10 > 21.10
because 66.11>66.10 and 66.10 > 21.10
I cannot see exactly what the question is asking, however, i wam going to assume that it is wanting you to reduce to its simplest form. To do this you must first understand two of the laws of exponents. One law is that the multiplaction of an exponentially represented number by another exponentially represented number with the same base. In this situation we add the exponents together. An example is:
(a^6) * (a)
Any number (in this situation i am talking about the lone (a)) when written by itself, can also be considered raised to the power of 1. So the example i just wrote can be rewritten:
(a^6) * (a^1)
We now add the exponents and get
(a^7)
The other law is If one exponent is raised by another exponent, then the exponents can be multiplied together. For example:
(a^-2)^-3
Int this you see that a is raised to the -2 power and then that in turn is raised to the -3 power. Since the -2 is raised to the -3 power, we can use the law of exponents to simplify this by multiplying the 2 exponents to get 6. So for this example the answer would be:
a^6
so for the question at hand:
(a^-2 * b)^-3 * (a * b^-7)
the simplest way to look at this is to use the very old math rule stating that parenthesis come first. So we can re write this:
(a^-2)^-3 * (b)^-3 * (a) * (b^-7)
Now to use the exponential law of raising an exponent to another power and get:
(a^6) * (b^3) * (a) * (b^-7)
to see the next step easier i will rewrite this
(a^6) * (a) * (b^-3) * (b^-7)
There are two different bases, so not all of this can be combined, however we can combine some to get its most simplest form. With the law of multiping same base exponential numbers, we have to add the exponents of numbers with the same base together.
(a^7) * (b^-10)
if i understood what you were asking, i Believe this would be your answer.
Answer:
1. 3/32
2. 3/8
3. 1/20
Step-by-step explanation:
Answer:
The 2 numbers are 14 and 17.
Step-by-step explanation:
Let the 2 numbers be x and y.
x + 11 = 2y
x - 2y = -11...............A
y +20 = 2x
2x - y = 20 ...............B
Multiply equation A by -2:
-2x + 4y = 22............C
Adding B and C :-
3y = 42
y = 14.
Substitute y = 14 in equation A:
x - 2(14) = -11
x = -11 + 28
x = 17.
