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
Lapatulllka [165]
3 years ago
11

Suppose that the prevalence of a certain type of tree allergy is 0.26 in the general population. If 100 people randomly chosen f

rom this population are tested for this allergy, what is the probability that exactly 26 of them will have this allergy? Please write your answer as a decimal, precise to at least four decimal places.
Mathematics
2 answers:
victus00 [196]3 years ago
8 0

Answer:

The probability that exactly 26 out of 100 randomly selected will have this allergy is P=0.0906.

Step-by-step explanation:

We can model this as a binomial distribution with parameters:

Size n=100

Probability p=0.26.

We can calculate the probability of getting a sample of exactly 26 positives as:

P(X=k)=\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}\\\\P(X=26)=\frac{100!}{26!(100-26)!} 0.26^{26}(1-0.26)^{100-26}\\\\P(X=26)=(6.9957*10^{23})*(6.1561*10^{-16})*(2.1045*10^{-10})\\\\P(X=26)=(6.9957*6.1561*2.1045)*10^{23-16-10}\\\\P(X=26)=90.6329*10^{-3}=0.0906

laiz [17]3 years ago
4 0

Answer:

0.0906

Step-by-step explanation:

Given that the prevalence of a certain type of tree allergy is 0.26 in the general population

X- the no of persons having tree allergy is binomial since each persons is independent of the other and there are two outcomes.

Here n = 100

Required probability = the probability that exactly 26 of them will have this allergy

=P(x=26)=100C26(0.26)^{26} (1-0,26)^{100-26}\\ =0.09063\\=0.0906

You might be interested in
Should the temperature of an oven increases as heat is added to it should it be represented with discrete data or not why
Colt1911 [192]

Answer:

Cooking is the application of heat to ingredients to transform them via chemical and physical reactions that improve flavor, reduce chances of foodborne illness, and increase nutritional value. so, yes the oven should increase heat as its been added.

hope this helps!:)

Step-by-step explanation:

6 0
3 years ago
Place labels on the coordinate plane below.
ivanzaharov [21]
The origin is 0,0 the y axis is the line going up, the x axis is the line going like this — the top right is quadrant 1 the one below it is quadrant 2 the one beside that is quadrant 3 and the one above that is quadrant 4
5 0
2 years ago
The point (-5,-4)<br> is rotated 90<br> counterclockwise .
ELEN [110]
(-4,5) is the correct answer because it needs to be (-y,x) meaning the original x value stays the same because we’re going backwards and the y value changes signs
5 0
2 years ago
Solve for h in A = ½ ah - ½ bh. Solve for h in A = ½ ah - ½ bh .​
pantera1 [17]

Answer:

h = A / ( 1/2 a - 1/2 b)

Step-by-step explanation:

A = ½ ah - ½ bh

Factor out an h

A = h( 1/2 a - 1/2 b)

Divide each side by ( 1/2 a - 1/2 b)

A / ( 1/2 a - 1/2 b) = h ( 1/2 a - 1/2 b)/ ( 1/2 a - 1/2 b)

A / ( 1/2 a - 1/2 b) = h

h = A / ( 1/2 a - 1/2 b)

7 0
2 years ago
I need help ASAP!!!!!!
topjm [15]

Answer:

1. YES  2. NO

Step-by-step explanation:

1. Since x=0.121212... and the question is asking for 100x, we need to multiply each side by 100. 0.121212... multiplied by 100 is 12.1212... So YES, 100x is still a repeating decimal.

2. 12.121212... minus 0.121212... would just be 12. This is because if we know that all the numbers behind the decimal point is 0.121212 and so on, 12.121212... minus 0.121212... the numbers behind the decimal would cancel out. So we are left with 12. So NO, the answer for 99x is NOT a repeating decimal.

6 0
3 years ago
Other questions:
  • Can you please help me answer this question?
    11·2 answers
  • What is the answer to<br> y+2=5
    15·2 answers
  • According to this diagram, what is tan 67° ?
    6·2 answers
  • Kayleen earns 35.50 each week
    6·2 answers
  • Describe the congruence transformation that maps ΔABC onto ΔA′B′C′ in the given figure. Question 9 options:
    14·1 answer
  • Tyra's family is spending the afternoon in Millersville. They plan to see a movie and then explore
    11·1 answer
  • Write an expression to find the greatest difference:​
    14·1 answer
  • Please answer correctly
    6·2 answers
  • 15 yd<br> 19 yd<br> Area = <br> Parallelogram
    9·1 answer
  • What is the mean of 25 31 12 38 12 15
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!