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
bekas [8.4K]
3 years ago
6

In a large population, 57 % of the people have been vaccinated. If 3 people are randomly selected, what is the probability that

AT LEAST ONE of them has been vaccinated?
Mathematics
2 answers:
Sliva [168]3 years ago
8 0

Answer:

The probability that AT LEAST ONE of them has been vaccinated

P( X ≥1)  = 0.920493

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given  57 % of the people have been vaccinated

p = 57% =0.57

q = 1-p =1-0.57 = 0.43

n = 3

P(X=r) = n_{C_{r} } p^{r} q^{n-r}

<u><em>Step(ii):</em></u>-

The probability that AT LEAST ONE of them has been vaccinated

P( X ≥1) = P( x =1) + P(x =2)+P(x=3)             P(X\geq 1) = 3_{C_{1} } (0.57)^{1} (0.43)^{3-1} +  3_{C_{2} } (0.57)^{2} (0.43)^{3-2} +  3_{C_{3} } (0.57)^{3} (0.43)^{3-3}

P(X\geq 1) = 3 (0.57) (0.43)^{2} +  3 (0.57)^{2} (0.43) +  1 (0.57)^{3} (0.43)^{0}

               =  0.316179 + 0.419121 +0.185193

            = 0.920493

<u><em>Final answer:</em></u>-

<em>The probability that AT LEAST ONE of them has been vaccinated</em>

<em>P( X ≥1)  = 0.920493</em>

<em></em>

ollegr [7]3 years ago
7 0

Answer:0.92

Step-by-step explanation:

Given

57\% of Population is vaccinated

So, Probability of a person being vaccinated is P=0.57

and simultaneously , probability of not vaccinated is 1-P

=1-0.57=0.43

Now, Probability that atleast one of them has been vaccinated is given by

=1-P(\text{None of them is vaccinated})

=1-0.43\times 0.43\times 0.43

=1-0.0795

=0.92

You might be interested in
Please help me I’m so stressed
djverab [1.8K]

This is just like the other problem. The coefficient infront of the b which is "2" is your constant of proportionality. It makes the relationship between the number of bulbs and flowers signaling that for every flower there has to be 2 bulbs.

4 0
3 years ago
PLZ HELP ME ITS DUE BY TONIGHT AND I WILL FAIL IF ITS NOT FINISHED!! I NEED HELP WITH 5
mars1129 [50]

Answer:

3. 25

4. 22,31,46

5. One reason beth might not want to join is because she would be the oldest person in the club. according to the stem and leaf chart the oldest person currently in the class is 55 and the next few down are all in their 40s.

Step-by-step explanation:

question 3 is 25 because the median is the middle number, which in this case is 25. question 4 you got correct but there are multiple modes for this set of data being 22,31,46 because all of these numbers tie with 2 of them being repeated throughout the table. question 5 just shows that beth would be the oldest in the club by a marginal number too so that is why beth might not want to join the club.

6 0
2 years ago
Read 2 more answers
It takes b minutes for Sylvia's bathtub to fill with water. How many minutes will it take to fill the bathtub 3 times? Write you
N76 [4]
The expression is x=3b
3 0
3 years ago
Can anyone help not understanding? And can you explain how you got it. Thanks for all your help!
Allushta [10]
No, the height wouldn't be 70 feet, it would be 80 feet.

You would get this answer by using the equation h= A/b (h meaning height)
A = area ( or 20,000)
b= base ( or 250)

Then you divide A by b:
20,000/ 250 = 
80

I hoped this helped! :)

8 0
3 years ago
HELP ME PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Klio2033 [76]
It’s the first one.The one with a negative 2
6 0
3 years ago
Other questions:
  • Are all isosceles triangles similar? Justify your answer.
    11·1 answer
  • during a track meet Calvin drinks drinks 0.6 liter of water. Melinda drinks 0.8 times as much water as Calvin during the track m
    7·1 answer
  • If you know the answer comment Please
    6·1 answer
  • You are thinking of using a t procedure to construct a 95% confidence interval for the mean of a population. You suspect the dis
    10·1 answer
  • On a particular Saturday 60% of the pictures to an art museum were students if 144 students visit the museum how many total visi
    14·1 answer
  • A rectangle has a length of 10 inches and a width of 5 inches. If the length is increased by x inches and the width decreased by
    11·1 answer
  • Surface area of the pyramid
    8·1 answer
  • The vertex form of the equation of a parabola is y = 2(x+ 4)2 - 21.
    11·1 answer
  • 10% of which number is equal to 140?<br> Please help
    14·2 answers
  • A Norman window has the shape of a rectangle surmounted by a semicircle. Suppose the outer perimeter of such a window must
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!