1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fantom [35]
3 years ago
6

Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviat

ion. If a probability distribution is not given, identify the requirements that are not satisfied.Five males with an X-linked genetic disorderhave one child each. The random variable x is the number of childrenamong the five who inherit the X-linked genetic disorder.X 012345P(x) 0.0310.1560.3130.3130.1560.031
Mathematics
1 answer:
drek231 [11]3 years ago
6 0

Answer:

E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5

We can find the second moment given by:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496

And we can calculate the variance with this formula:

Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246

And the deviation is:

Sd(X) = \sqrt{1.246}= 1.116

Step-by-step explanation:

For this case we have the following probability distribution given:

X          0            1        2         3        4         5

P(X)   0.031   0.156  0.313  0.313  0.156  0.031

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).  

We can verify that:

\sum_{i=1}^n P(X_i) = 1

And P(X_i) \geq 0, \forall x_i

So then we have a probability distribution

We can calculate the expected value with the following formula:

E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5

We can find the second moment given by:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496

And we can calculate the variance with this formula:

Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246

And the deviation is:

Sd(X) = \sqrt{1.246}= 1.116

You might be interested in
Jackson is two times older than Shelly. If the sum of their ages is 18, how old is Jackson?
salantis [7]
Answer: jackson is 12

explanation:
let the age be represented by x
jackson is 2 times older than shelly so
2x is jackson’s age and x is shelly’s age

since the sum of their ages is 18 then:
2x + x = 18

solve:
3x = 18 ➔ divide by 3 on both sides
x = 6

so now we know shelly is 6

jackson is 2 times older than her so:
2(6) = 12

6 0
3 years ago
Read 2 more answers
The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find
Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, h=0,  k=35, x=8, y=21

We know that, the general equation of the parabola.

   y-k = a(x-h)^2

\Rightarrow y=a(x-h)^2+k  .........(i)

Substitute the  value of h, k, x, y in equation (i) and find the value of a.

  21=a(8-0)^2+35

\Rightarrow 21=a\times 8^2+35

\Rightarrow 21=64a+35

\Rightarrow 64a=21-35

\Rightarrow 64a=-14

\Rightarrow a=\frac{-14}{65}

\Rightarrow a=-0.215

Hence, the equation of the parabola is:

y=-0.215x^2+35

8 0
3 years ago
Please simplify, 50 points.
olga55 [171]

Answer:

The trigonometric equation  (sin Θ − cos Θ)^2 − (sin Θ + cos Θ)^3 can be simplified by:Using x for Θ: (sinx - cosx)^2 - (sinx + cosx)^2 = (sin^2 x - 2sinxcosx + cos^2 x) - (sin^2 x + 2sinxcosx + cos^2 x) = - 2 sinx cosx - 2 sinx cosx = - 4 sinx cosx = - 2sin(2x)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
miguel is posting photos on school website hi has 48 photos and he followed 12 pages he whant to put the same number put of phot
Ksivusya [100]

Answer:

4

Step-by-step explanation:

48/12=4

4 0
3 years ago
Read 2 more answers
The difference of sample means of two populations is 55.4, and the standard deviation of the difference of sample means is 28.1.
Anna [14]

Answer:

The difference of the two means is not significant, so the null hypothesis must be rejected.


4 0
3 years ago
Read 2 more answers
Other questions:
  • Draw a model showing 15 divided by 3
    7·1 answer
  • A bottle can hold 2.75 liters of water. About how many gallons can the bottle hold? Round to the nearest hundredth.
    12·2 answers
  • Write 12 2/3% as a fraction in simplest form
    14·1 answer
  • 3 is what percentage of 5
    14·2 answers
  • Identify each line or segment that intersects ⊙ T. HELP PLEASE!!!
    15·1 answer
  • Quiz consists of 60 true or false questions. If the student guesses on each​ question, what is the standard deviation of the num
    9·1 answer
  • Monica has been saving her spare change. So far she has saved 40 coins for a total of $6.25. Some of the coins are quarters (25
    15·1 answer
  • 14+x = -9 <br><br> X equals what?
    12·2 answers
  • What is the angle measure of angle MPQ?
    6·1 answer
  • Valentina purchased al- yards of nylon as shown on the sales slip. Including tax, how much change should she get back?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!