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
Lina20 [59]
3 years ago
13

The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party,

and then returned the purchase? This is called a one-time fling. About 15% of all adults deliberately do a one-time fling and feel no guilt about it! In a group of eight adult friends, what is the probability of the following?
a. no one has done a one time fling
b. at least one person has done a one time fling
c. no more than two people have done a one time fling
Mathematics
1 answer:
Mama L [17]3 years ago
4 0

Answer:

(a)\ P(x = 0) = 0.2725

(b)\ P(x \ge 1) =0.7275

(c)\ P(x \le 2) = 0.8948

Step-by-step explanation:

Given

n = 8 --- 8 friends

p = 15\% --- proportion that one-time fling

This question is an illustration of binomial probability, and it is represented as:

P(X = x) = ^nC_x* p^x * (1 - p)^{n-x}

Solving (a): P(x = 0) --- None has done one time fling

P(x = 0) = ^8C_0* (15\%)^0 * (1 - 15\%)^{8-0}

P(x = 0) = 1* 1 * (1 - 0.15)^{8}

P(x = 0) = 0.85^8

P(x = 0) = 0.2725

Solving (b): P(x \ge 1)

To do this, we make use of compliment rule:

P(x = 0) + P(x \ge 1) =1

Rewrite as:

P(x \ge 1) =1 - P(x = 0)

P(x \ge 1) =1 - 0.2725

P(x \ge 1) =0.7275

Solving (c): P(x\le 2)--- Not more than 2 has one time fling

This is calculated as:

P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)

We have:

P(x = 0) = 0.2725

P(x = 1) = ^8C_1* (15\%)^1 * (1 - 15\%)^{8-1}

P(x = 1) = 8* (0.15) * (1 - 0.15)^7

P(x = 1) = 0.3847

P(x = 2) = ^8C_2* (15\%)^2 * (1 - 15\%)^{8-2}

P(x = 2) = 28* (0.15)^2 * (1-0.15)^6

P(x = 2) = 0.2376

So:

P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)

P(x \le 2) = 0.2725 + 0.3847 + 0.2376

P(x \le 2) = 0.8948

You might be interested in
Which expression is equivalent to 18 − 20?
Sveta_85 [38]
The answer is 18+(-20) because if if you were going to solve that equation you would use the absolute value of -20 and then the opposite of the sign giving you 18-20. Hope this helps:)
6 0
3 years ago
What times what equal 36
tensa zangetsu [6.8K]
6*6=36.....................
5 0
3 years ago
Read 2 more answers
Plzz hellpldppdopbdjdj​
Natasha2012 [34]

Answer:

78 squared feet

Step-by-step explanation:

area= base x height

so 6 x 13 = 78

and yeah

HOPE I HELPED:))

6 0
3 years ago
Read 2 more answers
X+ 2 / X + 3 =5 plz give me and<br><br><br><br>​
Anna35 [415]

Answer:

The answer is x = -13/4

Step-by-step explanation:

-13/4 + 2  /  -13/4 +3 = 5

5 0
3 years ago
How many terms are in the expression? 9a + 6b + 3c + 1 A) 1 B) 2 C) 3 D) 4
Kaylis [27]

Answer:

D.) there is 9a and 6b ,3c and 1 thats four different terms

Step-by-step explanation:

Have a nice day! :D

7 0
2 years ago
Other questions:
  • When 7 times a number is decreased by 8, the answer is the same as when 3 times the number is increased by 4. find the number. j
    13·1 answer
  • Which polynomial is in standard form
    13·1 answer
  • 2.5d + 8.25 = 3 + 3.25d what is d equal to
    5·1 answer
  • What's the asnwer? This is my friends homework she asked for help! Please answer!! ​
    6·1 answer
  • Write down two different prime numbers that have a sum of 24
    13·2 answers
  • Which relation is a function?<br> A: a circle <br> B: a Y<br> C: a C<br> D: a line
    5·1 answer
  • Find the value of x
    5·2 answers
  • How do i learn this subject easily?
    12·2 answers
  • Gcf of 24 and 42 and you dont have t explain but i need the answer thats all
    9·2 answers
  • HELP!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!