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
xxMikexx [17]
3 years ago
8

A computer can be classified as either cutting dash edge or ancient. Suppose that 86​% of computers are classified as ancient. ​

(a) Two computers are chosen at random. What is the probability that both computers are ancient​? ​(b) Seven computers are chosen at random. What is the probability that all seven computers are ancient​? ​(c) What is the probability that at least one of seven randomly selected computers is cutting dash edge​? Would it be unusual that at least one of seven randomly selected computers is cutting dash edge​?
Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0

Answer:

(a) The probability that both computers are ancient is 0.7396

(b) The probability that all seven computers are ancient is 0.3479

(c) The probability that at least one of seven randomly selected computers is cutting dash edge is 0.6520.

Because the probability is about 65% is it not unusual that at least one of seven randomly selected computers is cutting dash edge, it's more likely than not.

Step-by-step explanation:

We know that 86​% of computers are classified as ancient. This means, if one computer is chosen at random, there is an 86% chance that it will be classified as ancient.

P(ancient)=0.86

(a) To find the probability that two computers are chosen at random and both are ancient​ you must,

The probability that the first computer is ancient is P(ancient)=0.86 and the probability that the second computer is ancient is P(ancient)=0.86

These events are independent; the selection of one computer does not affect the selection of another computer.

When calculating the probability that multiple independent events will all occur, the probabilities are multiplied, this is known as the rule of product.

Let A be the event "the first computer is ancient" and B the event "the second computer is ancient".

P(A\:and \:B)=P(A)\cdot P(B)=0.86\cdot 0.86=0.86^2= 0.7396

(b) To find the probability that seven computers are chosen at random and all are ancient​ you must,

Following the same logic in part (a) we have

Let A be the event "the first computer is ancient",

B the event "the second computer is ancient",

C the event "the third computer is ancient",

D the event "the fourth computer is ancient",

E the event "the fifth computer is ancient",

F the event "the sixth computer is ancient", and

G the event "the seventh computer is ancient"

P(A\:and \:B\:and \:C\:and \:D\:and \:E\:and \:F\:and \:G)=\\P(A)\cdot P(B)\cdot P(C)\cdot P(D)\cdot P(E)\cdot P(F)\cdot P(G) =(0.86)^7=0.3479

(c) To find the probability that at least one of seven randomly selected computers is cutting dash edge​ you must

Use the concept of complement. The complement of an event is the subset of outcomes in the sample space that are not in the event.

Let C the event "the computer is cutting dash edge".

Let A the event "the seven computers are ancient".

P(C)=1-P(A)=1-0.3479=0.6520

Because the probability is about 65% is it not unusual that at least one of seven randomly selected computers is cutting dash edge, it's more likely than not.

You might be interested in
Pla help pls : What is the first step to solving the following equation?<br> 5x – 11 = 42
kow [346]

Answer:

x = 10.6

Step-by-step explanation:

5x - 11 = 42

first +11 so,

5x = 53

then ÷5

x = 10.6

3 0
3 years ago
??????????????????????
I am Lyosha [343]
The answer is A. Closure
6 0
3 years ago
Help me please thankyou
Aloiza [94]

Ask your parents about it if they didn't help you can copy mine,

Well I asked my parents about they told me that around their age there weren't lots of facilities they even rarely saw transportation facilities like cars and bikes there were no proper internet facilities e.t.c

When I said them what were the changes in the last 25 years they said there were drastic changes including social, economic, science, transportation, health e.t.c and many more

4 0
2 years ago
Multiplying Special Cases <br> (3p-7)(3p+7)
Ludmilka [50]
I hope this helps you

8 0
3 years ago
Read 2 more answers
Consignment Sale. Just Between Friends is the leading pop-up consignment sales event franchise in North America. The Des Moines
natita [175]

Answer:

Just Between Friends

The percentage of consignors who receive a check for more than $370 is:

= 16%.

Step-by-step explanation:

Mean of consignor check, μ = $480

Standard deviation, σ = $110

Value of check received, x > $370

Solution: find the z-score to determine the percentage of consignors who receive a check for more than $370:

z = (x-μ)/σ

z= ($370 - $480)/$110

z = -$110/$110

z = -1.00

Percentage of consignors who receive a check for more than $370

= 0.15866

= 0.16

= 16%

7 0
2 years ago
Other questions:
  • a group of students help a fundraiser last year and raised $950 for charity . This year, they raised $1,045. What is the percent
    15·2 answers
  • Write and solve an inequality to represent the situation.
    13·1 answer
  • Compute the magnitude and direction of the sum of the two vectors: 170N of force at 87° and 100N of force at 46°.
    5·1 answer
  • Alec has 2 comic books. Shereen has c times as many comic books as Alec. Write an expression that shows how many comic books She
    11·1 answer
  • Find the number that makes the statement 12/18 = ?/9
    6·2 answers
  • Rewrite each equation in standard form<br> Y=6x-4
    9·1 answer
  • Help me answer this question pls.
    14·2 answers
  • Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work
    13·1 answer
  • This is for freckle which I hate can someone help?
    6·2 answers
  • Can u help me pls<br> This homework was due last week<br> I really need help<br> thx xxx
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!