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
makkiz [27]
3 years ago
14

5. [Statistical independence] Consider a month consisting of exactly 28 days, split into four weeks of seven days each, such tha

t the first of the month is a Monday. One of the 28 days will be selected uniformly at random (so that each day has probability 1/28 of being selected). Event A is that the selected day is a Monday or Wednesday. Event B is that the selected day falls either in the first or third weeks of the month. Are A and B independent or not? Show your work.
Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer:

They are independent events

Step-by-step explanation:

For independent events;

Pr(A & B) = Pr(A) × Pr(B)

Given that:

A = day is Monday or Wednesday

Since we have four weeks and each week will have one Monday and Wednesday each,

Pr(A) = (8/28)

B = day falls in the first or third week

Since, first and the third week has a total of 14 days,

Pr(B) = 14/28

Therefore;

Pr(A) × Pr(B) = 8/28 * 14/28

Pr(A) × Pr(B)  = 1/7

Now, A and B = day is either Monday or Wednesday, and it is in the first or third week

There are four such days, Thus Pr(A and B) = 4/28 = 1/7

Since, Pr(A and B) = Pr(A) * Pr(B),

A and B are independent events

You might be interested in
Create an equation to convert feet into miles .
mr_godi [17]
Y = x/5280
converting miles to feet would be x=5280y
4 0
3 years ago
PLEASE HELP
allochka39001 [22]

Answer:

864

Step-by-step explanation:

because if you take 8 percent of 900 72 x 12 you get 864.

4 0
3 years ago
Ccacacvssvvssjdsvshxb de s zzz dat herh
KATRIN_1 [288]

Answer: gjnyujhgfdrjhg;flhigobkhyjnhkmk,

Step-by-step explanation:

6 0
3 years ago
Which of the following best describes a line
finlep [7]

I would answer, but you didn't give any options.

6 0
3 years ago
Read 2 more answers
A bag of chips costs $3.79, including tax. Mr. Connor wants to purchase chips for his class and has a $15 budget. Write an inequ
Verizon [17]

Answer:

D. $3.79x \leq $15

<em>Brainliest, please!</em>

Step-by-step explanation:

It costs $3.79 per bag of chips, and Mr. Connor can pay NO MORE THAN $15.

6 0
3 years ago
Read 2 more answers
Other questions:
  • A translation is applied to the triangle formed by the points A(−1, 4) , B(−1, 10) , and C(3, 6) . The image is the triangle tha
    13·2 answers
  • Valerie earns $24 per hour. How much money does she earns in 7 hours?
    7·2 answers
  • PLEASE HELP!!!! NEED HELP!!!!
    7·1 answer
  • -109 divide by -9 what is the fraction?
    5·2 answers
  • Which equation describes the same line as y-4=-1(x+5)
    12·1 answer
  • A square is inscribed in an isosceles right triangle. Length of the leg equals to 2 in. as shown on the figure. Find the perimet
    15·1 answer
  • Need help Which one is it?
    14·1 answer
  • Evaluate the expression 36.6 – 24 x 22 ÷ 3
    12·1 answer
  • Can someone please help me answer this question asap thank you
    5·1 answer
  • Write an equation in Slope Intercept Form for the following line.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!