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
Anna11 [10]
1 year ago
9

A box contains 24 transistors,4 of which are defective. If 4 are sold at random,find the following probabilities. i. Exactly 2 a

re defectiveii.None is defectiveiii All are defective iv. At least one is defective
Mathematics
1 answer:
zavuch27 [327]1 year ago
3 0

SOLUTION

This is a binomial probability. For i, we will apply the Binomial probability formula

i. Exactly 2 are defective

Using the formula, we have

\begin{gathered} P_x=^nC_x\left(p^x\right?\left(q^{n-x}\right) \\ Where\text{ } \\ P_x=binomial\text{ probability} \\ x=number\text{ of times for a specific outcome with n trials =2} \\ p=\text{ probability of success = }\frac{4}{24}=\frac{1}{6} \\ q=probability\text{ of failure =1-}\frac{1}{6}=\frac{5}{6} \\ ^nC_x=\text{ number of combinations = }^4C_2 \\ n=\text{ number of trials = 4} \end{gathered}

Note that I made the probability of being defective as the probability of success = p

and probability of none defective as probability of failure = q

Exactly 2 are defective becomes the binomial probability

\begin{gathered} P_x=^4C_2\times\lparen\frac{1}{6})^2\times\lparen\frac{5}{6})^{4-2} \\ P_x=6\times\frac{1}{36}\times\frac{25}{36} \\ P_x=\frac{25}{216} \\ =0.1157 \end{gathered}

Hence the answer is 0.1157

(ii) None is defective becomes

\begin{gathered} \lparen\frac{5}{6})^4=\frac{625}{1296} \\ =0.4823 \end{gathered}

hence the answer is 0.4823

(iii) All are defective

\begin{gathered} \lparen\frac{1}{6})^4=\frac{1}{1296} \\ =0.00077 \end{gathered}

(iv) At least one is defective

This is 1 - probability that none is defective

\begin{gathered} 1-\lparen\frac{5}{6})^4 \\ =1-\frac{625}{1296} \\ =\frac{671}{1296} \\ =0.5177 \end{gathered}

Hence the answer is 0.5177

You might be interested in
What is 22% of 400?*<br> Your answer
Ierofanga [76]

Answer:

88

Step-by-step explanation:

6 0
3 years ago
15. What might explain the concern female students expressed in the beginning of this lesson about the problem of assigning prac
yanalaym [24]

Answer:

Interestingly, the likelihood of a randomly chosen student being a female is <u><em>0.58</em></u> at this school.

Step-by-step explanation:

This school features more female students than male students. <em>Consequently, if resources are allocated equally (because it has been found that both female and male male students are similarly likely to be involved), the number of female students involved in after-school athletics programs is greater than the number of male students and could clarify the facilities issues.</em>

3 0
3 years ago
Find x value for the point that splits segment co in halt point c is located at 4) and point D is located at (3,7)
VLD [36.1K]
Okay to split a segment in half you just need to find the midpoint of the two endpoints.  Mathematically this is just the average of the coordinates of the endpoints which is:

mp=((x1+x2)/2, (y1+y2)/2)

Which in this case is:

mp=((-2+3)/2, (4+7)/2)

mp=(1/2, 11/2)

mp=(0.5, 5.5)

So the x-coordinate by itself is just 0.5, or answer c.
8 0
3 years ago
How much ounces are in 22 grams 0.035x
Daniel [21]

Answer:

0.77 ounces

My apologies if my answer is wrong :)

8 0
3 years ago
Read 2 more answers
Casy is taking pictures outdoors she know that the later in the afternoon she takes a picture
krok68 [10]
Later in the afternoon, the sun would most likely begin to set making quality sunlight pictures, but poor lighting for selfies.
7 0
4 years ago
Other questions:
  • What is the length of a segment in the complex plane with endpoints at 4 + 2i and 7 – 2i?
    7·2 answers
  • when a factor is controlled by setting it to three levels, the particular factor is of no interest to the researcher. True or fa
    7·2 answers
  • If 9 is subtracted from a number, the result is 5. find the number .
    8·2 answers
  • If the bill in a restaurant is $38.00, and you want to leave a 15% tip, how much should you leave as a tip?
    6·1 answer
  • Do i divide 65 by 40? ima little confused plz help ASAP
    8·1 answer
  • Find the surface area of the prism.<br> 2 om<br> Som<br> 17 cm<br> lem?
    5·1 answer
  • Mrs riddle has $543.73 in her bank account? She writes a check for $840.00. By how much has she overdrawn her account?
    11·1 answer
  • The midpoint of AB is M(-5, -2). If the coordinates of A are (-3, 4),
    14·2 answers
  • Please help!!! Answer with no links! Also I will give 30 points and brainliest to the first person.
    7·2 answers
  • Whitney goes into Rodger’s Pizza-Toy store and buys a toy for $14. She gives Rodger a $20 bill. Rodger doesn't have any change,
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!