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
mixer [17]
3 years ago
6

A manager at a local company asked his employees how many times they had given blood in the last year. The results of the survey

are given below. The random variable x represents the number of times a person gave blood and​ P(x) represents the probability of selecting an employee who had given blood that many times. What is the standard deviation for the number of times a person gave blood based on this​ survey? Round to the nearest hundredth. x 0 1 2 3 4 5 6 ​P(x) 0.30 0.25 0.20 0.12 0.07 0.04 0.02
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
8 0

Answer:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

Step-by-step explanation:

For this case we have the following distribution given:

X        0         1       2       3       4         5        6

P(X)  0.3   0.25   0.2   0.12   0.07   0.04   0.02

For this case we need to find first the expected value given by:

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

And replacing we got:

E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61

Now we can find the second moment given by:

E(X^2) =\sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97

And the variance would be given by:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

 

You might be interested in
Find the y-intercept of the line: -4x - 2y = 16
Georgia [21]
The y-intercept is (0, -8) 
if you set the equation to slope intercept format you get

y=-2x-8
3 0
3 years ago
6 1/2 how many inches ​
sveticcg [70]

Answer:

78 inches

Step-by-step explanation:

12 TIMES 6 = 72

72+6=78

6 0
3 years ago
You have 3434 of a pie leftover after your party. Each guest takes home 1616 of the leftover pie.
Pachacha [2.7K]
You would have 1818 of pie left over...... I do not know the fraction of it
7 0
3 years ago
Read 2 more answers
It is a linear equation but i don't know how to set the equation up , need help​
ryzh [129]

Step-by-step explanation:

x = number of novels

y = number of dictionaries

x = 8y

88x + 208y = 13680

now, using the identity of the first equation in the second equation gives us

88(8y) + 208y = 13680

704y + 208y = 13680

912y = 13680

y = 13680/912 = 15

x = 8y = 8×15 = 120

so, there were 120 novels and 15 dictionaries sold.

7 0
2 years ago
The first five terms of an arithmetic sequence are shown below: 20, 17, 14, 11, 8, . . . Let n represent the term number and f(n
Leona [35]

Answer: 17 -3n

Explanation:

In the given arithmetic progression 20,17,14,11,8....

first term that is a = 20

common difference that  is d=  a2-a1 = 17-20 = -3

let n is the nth term

a_{n} = a+(n-1)d

substituting the values of first, common,difference and n

a_{n} =20+(n-1) (-3)

                        = 20 -3n+3

                         =23 -3n

6 0
3 years ago
Read 3 more answers
Other questions:
  • Give the equation of the line that is parallel to y=-3x+1 and goes through (-5,-6)
    11·1 answer
  • An industrial center produces refrigerator motors, but it has a 0.03 defective rate. What is the probability that the machine pr
    7·1 answer
  • A
    5·2 answers
  • At a baseball game, a vender sold a combined total of 192 sodas and hot dogs. The number of sodas sold was two times the number
    12·1 answer
  • Consider the power 34.
    13·1 answer
  • A number c increased by 17
    8·2 answers
  • I need help with my math homework. it is due on Monday
    11·2 answers
  • At Wendy’s, 3 Baconators and 2 Frosty’s cost $21.50. If 5 Baconator’s and 1 Frosty cost $30, find the cost of one Baconator and
    7·1 answer
  • Simplify: (ab + bc) (ab - bc)​
    10·1 answer
  • Evaluate the expression.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!