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
SOVA2 [1]
3 years ago
10

A batch of 25 injection-molded parts contains 5 that have suffered excessive shrinkage. Round your answers to four decimal place

s (e.g. 98.7654). (a) If two parts are selected at random, and without replacement, what is the probability that the second part is one with excessive shrinkage? (b) If three parts are selected at random, and without replacement, what is the probability that the third part is one with excessive shrinkage?
Mathematics
1 answer:
Firdavs [7]3 years ago
6 0

Answer:

(a) The probability that the second part is the one with excessive shrinkage is 0.2000.

(b) The probability that the third part is the one with excessive shrinkage is 0.2000.

Step-by-step explanation:

Let the variable <em>X </em>ₙ denote the <em>n</em>th part that has  suffered excessive shrinkage.

(a)

It is provided that two parts are selected at random.

The parts are selected without replacement.

Now, for the two parts selected it is possible that either both have excessive shrinkage or only the second part has excessive shrinkage.

The probability that the second part is the one with excessive shrinkage is:

P (X₂) = P (X₂ ∩ X₁) + P (X₂ ∩ X₁')

         =[\frac{4}{24}\times \frac{5}{25}]+[\frac{5}{24}\times \frac{20}{25}]               (without replacement)

         =\frac{1}{30}+\frac{1}{6}

         =0.2000

Thus, the probability that the second part is the one with excessive shrinkage is 0.2000.

(b)

It is provided that three parts are selected at random.

The parts are selected without replacement.

Now, for the three parts selected it is possible that either all three have excessive shrinkage or any two of the three has excessive shrinkage or only the third part has excessive shrinkage.

The probability that the third part is the one with excessive shrinkage is:

P (X₃) = P (X₃ ∩ X₂ ∩ X₁) + P (X₃ ∩ X₂ ∩ X₁')

                 + P (X₃ ∩ X₂' ∩ X₁) + P (X₃ ∩ X₂' ∩ X₁')

         =[\frac{3}{23}\times \frac{4}{24}\times \frac{5}{25}]+[\frac{4}{23}\times \frac{5}{24}\times \frac{20}{25}]+[\frac{4}{23}\times \frac{20}{25}\times \frac{5}{24}]+[\frac{5}{23}\times \frac{19}{24}\times \frac{20}{25}]  

         =0.2000

Thus, the probability that the third part is the one with excessive shrinkage is 0.2000.

You might be interested in
E price of a large pizza increased from $21 to $26. what is the percent of increase in the cost of pizza? round to the nearest p
rodikova [14]
Percent increase=increase/original times 100

increase=26-21=5
original=21

so
5/21 times 100=0.23809523809523809523809523809524 times 100=23.809523809523809523809523809524
round
24%

so 24% increase

7 0
3 years ago
10 POINTS FOR WHOEVER GETS IT RIGHT!!
Andrew [12]

The definition of an example of expression is a frequently Answer:

Step-by-step explanation:The definition of an example of expression is a frequently used word or phrase or it is a way to convey your thoughts, feelings or emotions. An example of an expression is the phrase "a penny saved is a penny earned." An example of an expression is a smile. A facial aspect or a look that conveys a special feeling used word or phrase or it is a way to convey your thoughts, feelings or emotions.

equations...There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form

Answers these are 5..

5 Examples

Noun Phrase; Friday became a cool, wet afternoon.

Verb Phrase; Mary might have been waiting outside for you..

Gerund Phrase; Eating ice cream on a hot day can be a good way to cool off.

Infinitive Phrase; She helped to build the roof.

Prepositional Phrase; In the kitchen, you will find my mom.

4 0
3 years ago
PLEASE I NEED HELP ASAP! The function below represents the interest Jessi earns on an investment. Identify the term that represe
luda_lava [24]

Answer:

1000

Step-by-step explanation!

The formula for the amount accrued [ƒ(x)] on an investment earning compound interest is f(t) = P(1 + r)^t where:

P = the amount of money invested (the principal)

r = the interest rate per payment period expressed as a decimal fraction

t = the number of periods

Your formula is

f(x) = 1000(1 + 0.05)^x

In comparison, we can see that the term that represents the amount of money originally invested is 1000.

6 0
3 years ago
Read 2 more answers
Using the picture attached, find EG​
Anon25 [30]

Answer:

10

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I couldn't fit the whole graph but it's still clear please help
k0ka [10]
I believe it is C is the answer
8 0
3 years ago
Read 2 more answers
Other questions:
  • Nutritional researchers conducted an investigation of two high-fiber diets intended to reduce cholesterol level. a group of peop
    15·2 answers
  • Change 3 radians to degree measures
    15·2 answers
  • Please help, this will just take a minute of your time ❤︎ (literally)<br>(Discriminant Worksheet)
    14·1 answer
  • HELP NOWW PLEASE !!!!!
    11·2 answers
  • N + 4y + 5n + 3y What is the answer?
    8·1 answer
  • 9 = -d + 17<br><br> A.-2<br> B.8<br> C.10<br> D.-8
    12·2 answers
  • Find the surface are of the composite figure.
    5·1 answer
  • Solve for e <br> Give an exact answer <br> 0.75(8 + e) = 2 - 1.25e
    15·1 answer
  • Which is a better deal: A tool that costs $13.99 with 7% tax or the same tool that costs $14.03 with 6.5% tax
    14·1 answer
  • Practice A<br><br> In Exercises 1-3, find the value of x. Write your answer in simplest form.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!