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
Airida [17]
3 years ago
6

A new antibiotic is effective for 85% of infections. The antibiotic is given to 40 patients. a) Verify that this is a binomial s

etting and write it in notation. b) Describe what P(X=35) means in context. c) What is the probability that the antibiotic will work in at least 35 of the 40 patients? d) What is the probability that the antibiotic will work in less than half of the patients?
Mathematics
1 answer:
Charra [1.4K]3 years ago
4 0
(a)
The binomial distribution can be used because the current situation satisfies all of the following:
1. The probability of success (p=85%) is known and remains constant during the whole experiment
2. The number of trials (n=40) is known and constant.
3. Each trial is a bernoulli trial (success or failure only)
4. All trials are (assumed) independent of each other.
The probability of x successes is therefore
P(X=x)=C(n,x)(p^x)(1-p)^(n-x)

(b) P(X=35) means the probability of 35 successes out of 40 trials at p=0.85
and
P(X=35)=C(40,35)*0.85^35*0.15^5=658008*0.003386*0.00007594
=0.16918

(c) P(X>=35)=∑ P(X=i) for i=35 to 40
=0.16918+0.13315+0.08157+0.03649+0.01060+0.00150
=0.4325

(d) P(X<20)=&sum; P(X=i) for i=0 to 19
=0.00000003513   (individual probabilities are very small).
You might be interested in
Which expression represents the distance between the points (11, 4) and (5,8)?
antiseptic1488 [7]

Answer:

\displaystyle d = 2\sqrt{13}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (11, 4) → x₁ = 11, y₁ = 4

Point (5, 8) → x₂ = 5, y₂ = 8

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                       \displaystyle d = \sqrt{(5-11)^2+(8-4)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                 \displaystyle d = \sqrt{(-6)^2+(4)^2}
  3. [√Radical] Evaluate exponents:                                                                    \displaystyle d = \sqrt{36+16}
  4. [√Radical] Add:                                                                                               \displaystyle d = \sqrt{52}
  5. [√Radical] Simplify:                                                                                         \displaystyle d = 2\sqrt{13}
4 0
3 years ago
100 POINTS HELP ME PLEASE!!!!!! DONT HAVE ALOT OF TIME HURRY PLEASE!!!!!!!!!!!!!
erastovalidia [21]

Answer:

12,500 square millimeters

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solve the following​
Anastaziya [24]

Answer:

Q1

|a-b| = b-a when a<b

Q2

104159/33000

Step-by-step explanation:

Q1

If a<b then a-b will always be negative.  To get the absolute value, we can take -(a-b) = -a+b = b-a.

Q2

Let x = 3.12789789789...

We isolate the repeating decimal to start after the decimal, so we multiply by 100.

100x = 312.789789789...

We want to multiply by 10 for each digit that repeats (in this case 3), to get the repeating part to the left of the decimal.

100000x = 312789.789789

Subtracting the two...

x(100000-100) = 312789.789789 - 312.789789

99900x = 312477

x = 312477/99000 = 104159/33000

3 0
3 years ago
Mr. Harry had 4 daughters, each daughter had a brother. How many Children does Mr. Harry have? ​
irga5000 [103]

Answer:

Mr. Harry has 5 children.... I know what you were going for...

5 0
2 years ago
Jerry drew AJKL and AMNP so that Ke ZN, ZLEZP, JK = 6, and MN = 18. Are AJKL and AMNP similar? If so, identify the similarity po
Nata [24]

Answer:

The right answer is similar-aa

Step-by-step explanation:

mark me brainliest pls

3 0
3 years ago
Other questions:
  • Write an algebraic expression for the word phrase: six times a length w
    7·2 answers
  • If v1 = (2,-5) and v2 = (4,-3), then the angle between the two vectors is _________. Round your answer to two decimal places.
    7·1 answer
  • The table and the graph each show a different relationship between the same two variables, x and y:
    5·1 answer
  • James is buying a table.He finds the same table for sale in two different shops.
    10·1 answer
  • What is 240,567 divided by 67 is 3590
    5·1 answer
  • Please help image below with question! :)
    8·1 answer
  • Can someone help me on the steps for this?
    7·1 answer
  • Determine the sum of the first 33 terms of the following series:<br><br> −52+(−46)+(−40)+...
    12·1 answer
  • The table shows the distance 4 people swam. Who swam a greater distance than Milo​
    9·1 answer
  • SHOW WORK FOR BRAINLIST
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!