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
melamori03 [73]
3 years ago
9

About 16 % of the population of a large country is allergic to pollen. If two people are randomly selected, what is the probabil

ity both are allergic to pollen ? What is the probability at least one is allergic to pollen ?
(a) The probability that both will be allergic to pollen is . 0256. (Round to four decimal places as needed.)
(b) The probability that at least one person is allergic to pollen is nothing. (Round to four decimal places as needed.)
Mathematics
1 answer:
Vinvika [58]3 years ago
7 0

Answer:

(a) 0.0256

(b) 0.2944

Step-by-step explanation:

For solving this exercise we can apply the binomial distribution. The equation that give as the probability is:

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

Where n is the number of identical events, p is the probability that the event has a success and x is the number of success in the n identical events.

Additionally, nCx is calculated as:

nCx=\frac{n!}{x!(n-x)!}

So, in this case we have 2 identical events because we are going to select two people randomly and the probability p of success is the probability that the person is allergic to pollen and this probability is 16%.

Then, for the first case, x is 2 because their are asking for the probability that both are allergic to pollen. Replacing the values of x, n and p we get:

P(2,2,0.16)=(2C2)*0.16^{2} *(1-0.16)^{2-2}

P(2,2,0.16)=0.0256

For the second case, their are asking for the probability that at least one is allergic to pollen, that means that we need to sum the probability that both are allergic to pollen with the probability that just one is allergic to pollen.

Using the same equation to calculate P(1,2,0.16) we get:

P(1,2,0.16)=(2C1)*0.16^{1} *(1-0.16)^{2-1}

P(1,2,0.16)=0.2688

So, the probability that at least one person is allergic to pollen is 0.2944 and it is calculated as:

0.0256 + 0.2688 = 0.2944

You might be interested in
Please help me :(.....
monitta

Answer:

the answer is C.........

7 0
3 years ago
Pleaseeeee helpppppppppppppppppppppppp
natta225 [31]
I think it’s 309 cm because each side is 1 cm, there’s 3 sides, and 103 triangles. so 103x3=309 sides which means 309 cm
5 0
3 years ago
in 2019 there were 16 named storms, of which 8 grew into hurricanes and 5 were major. What fraction of hurricanes were major?
olga2289 [7]
There were 16 total storms, meaning our denominator is 16. Since 8 grew into hurricanes, we can leave that alone. Since 5 out of 16 storms were major, 5 is our numerator.

5/16 storms were major because 8 were hurricanes and the other 3 were other kinds of storms. As a decimal conversion, about 31% of these storms were major.

How to find the percentage conversion:

Step 1: We take the fraction 5/16.

Step 2: Since our numerator is 5 and the default denominator is a maximum of 100, we can multiply 5 by 100.

5 x 100 = 500

Step 3: We can divide 100 by 16 to get our decimal conversion.

100 divided by 16 will give us 31.25, which also is representative of 31 and 1/4 added together.

Your final answer: With there being 16 storms, 5 of these storms are major (5/16). In terms of if there were 100 total storms, about 3/10 of these storms were major.
6 0
2 years ago
Can someone help? (questions down at the image below, thanks)
user100 [1]

Answer:

Your score must be greater than 117.4

Your teammate is correct, because you only need 117.4 to win.

4 0
3 years ago
Paul wrote a check to the dentist for $345.69. He’ll use the check register to record his transaction. What will be his new bala
Katena32 [7]

Answer:

$704.73

Step-by-step explanation:

Take the original amount of money in the account minus $345.69 for the dentist.

$1,142 - $345.69 = $796.31

Now take this amount minus $15.89 for groceries

$796.31 - $15.89 = $780.42

Finally, take this amount minus $75.69 for the electric bill

$780.42 - $75.69 = $704.73

If this answer is correct, please make me Brainliest!

4 0
3 years ago
Read 2 more answers
Other questions:
  • RSM QUESTION NEED HELP!!!!!! A pharmacist has a 13 % alcohol solution and another 18 % alcohol solution. How much of each must h
    8·2 answers
  • um time de futsal marcou 60 gols, correspondendo a quatro sextos do total de gols do campeonato. Quantos gols foram marcados no
    13·1 answer
  • Will mark the BRANLIEST.
    11·1 answer
  • 6.
    5·2 answers
  • A) y = 5x
    10·1 answer
  • Police estimate that​ 25% of drivers drive without their seat belts. If they stop 6 drivers at​ random, find the probability tha
    5·2 answers
  • How many line segments are shown?<br><br> A.8<br> B.12<br> C.6<br> D.10
    6·2 answers
  • HELPPP ME QUICKKKKK PLEASEEE GUYSSS NO BOTS OR I WILL REPORT Which of the following equations describes the line shown below? Ch
    7·1 answer
  • Can someone help me asap!! am timed right now​
    5·1 answer
  • A gardener already has four and one over 2 ft of fencing in his garage. He wants to fence in a square garden for his flowers. Th
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!