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
Ne4ueva [31]
3 years ago
12

According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mou

th when sneezing is 0.267 . Suppose you sit on a bench in a mall and observe​ people's habits as they sneeze. ​(a) What is the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when​ sneezing? ​(b) What is the probability that among 12 randomly observed individuals fewer than 6 do not cover their mouth when​ sneezing? ​(c) Would you be surprised​ if, after observing 12 ​individuals, fewer than half covered their mouth when​ sneezing? Why?
Mathematics
1 answer:
Igoryamba3 years ago
5 0

Answer: kindly check explanation

Step-by-step explanation:

Probability of not covering mouth = p(success) = 0.267

Hence, p(covering mouth) = 1 - 0.267 = 0.733

a) What is the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when​ sneezing? ​

Number of samples (n) = 12

P(X = 8)

Using binomial distribution :

P(x) = nCx * p^x * (1-p)^(n-x)

P(x =8) = 12C8 * 0.267^8 * 0.733^(12-8)

P(x =8) = 12C8 * 0.267^8 * 0.733^4

= 0.00369

b) What is the probability that among 12 randomly observed individuals fewer than 6 do not cover their mouth when​ sneezing?

P(X < 6) = p(5) + p(4) + p(3) + p(2) + p(1) + p(0)

To save computation time, we can use an online binomial probability calculator :

P(X < 6) = 0.9275

C.) Yes, I will be surprised, because from the binomial probability obtained above, there is a high probability (0.9275) that fewer than half do not cover their mouth.

You might be interested in
Y'all I need help I'm being timed please
Tpy6a [65]

Answer:

Diana will be able to maek 12

Step-by-step explanation:

8 0
3 years ago
Vanessa has scored 45, 32, and 37 on her three math quizzes. She will take one more quiz and she wants a quiz average of at leas
zhenek [66]

45 + 32 + 37 = 114

114÷3 = 38

4 total quizzes,


 for a 40 average on 4 quizzes she needs 40*4 = 160 total points




for 3 quizzes she has 45 +32 +37 = 114 points


160-114 = 46, she needs at least a 46 on the 4th quiz


6 0
3 years ago
Read 2 more answers
Write one-half times a number minus 4. use x as a variable
alexdok [17]

Answer:

\frac{1}{2}x-4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Can someone find slope ?
Lana71 [14]
Negative. It’s the only one that makes since. ( probably)
3 0
3 years ago
Read 2 more answers
What advice would you give to a person who handles hydrogen and oxygen in their workplace?
kramer
My advice is don't smoke and make sure you don't keep the two close together. Hope this helped,
8 0
3 years ago
Other questions:
  • The cafe where you work just ran out of coffee, and you are at the store to buy 1 1/2pounds of coffee. You have put a can with 3
    15·1 answer
  • What are three collinear points on line l?
    7·1 answer
  • Determine the axis of symmetry and the vertex of the given function.<br> y = 2x2 - 12x + 21
    15·1 answer
  • (30 POINTS COME AND GET IT FOR A MULTIPLE CHOUCE XD) which of the following is the solution for s in the system of equation show
    14·2 answers
  • 8. Explain why 30+1 = 6 is the same as 30 -/-/--/-X-X = 0. What is
    9·2 answers
  • Halp me children it's important​
    8·2 answers
  • If Brian is driving 50 miles per hour how far did he drive​
    9·2 answers
  • MARKING BRAINLEIST + 20 POINTS PLEASE HELP IS DUE TODAY
    9·1 answer
  • Please help me with this math problem!! NO LINKS!!! Will mark brainliest!! :)
    7·1 answer
  • What is the slope and the y intercept of the line on the graph below?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!