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
Zarrin [17]
3 years ago
14

A manufacturer of processing chips knows that 2\%2%2, percent of its chips are defective in some way. Suppose an inspector rando

mly selects 444 chips for an inspection. Assuming the chips are independent, what is the probability that at least one of the selected chips is defective? Lets break this problem up into smaller pieces to understand the strategy behind solving it.
Mathematics
1 answer:
kipiarov [429]3 years ago
4 0

The data in the question seems a bit erroneous. I am writing the correct question below:

A manufacturer of processing chips knows that 2%, percent of its chips are defective in some way. Suppose an inspector randomly selects 4 chips for an inspection. Assuming the chips are independent, what is the probability that at least one of the selected chips is defective? Lets break this problem up into smaller pieces to understand the strategy behind solving it.

Answer:

The probability that at least one of the selected chips is defective is 0.0776.

Step-by-step explanation:

The question states that the probability of defective chips is 2% i.e. 0.02. Let p denote the probability of selecting a defective chip so, p = 0.02

An inspector selects 4 chips, which means n=4 and we need to compute the probability that at least one of the selected chips is defective. Let X be the number of defective chips selected. We need to compute P(X≥1) which means either 1, 2, 3 or 4 chips can be defective.

We will use the binomial distribution formula to solve this problem. The formula is:

<u>P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ</u>

where n = total no. of trials

          p = probability of success

          x = no. of successful trials

          q = probability of failure = 1-p

we have n=4, p=0.02 and q=1-0.02=0.98.

We need to compute P(X≥1) which is equal to:

P(X≥1) = P(X=1) + P(X=2) + P(X=3) + P(X=4)

A shorter method to do this is to use the total probability theorem:

P(X≥1) = 1 - P(X<1)

          = 1 - P(X=0)

          = 1 - ⁴C₀ (0.02)⁰(0.98)⁴⁻⁰

          = 1 - (0.98)⁴

          = 1 - 0.9224

P(X≥1) = 0.0776

You might be interested in
Please help me asap​
Lesechka [4]

Answer:

15/16-3/4 is 3/16. (1/8 simplified)

Step-by-step explanation: Let the 4 turn into a 16. Multiply 4 by 4 to get 16. Then, multiply the numerator by the number you multiplied for the denominator. 3x4 is 12. Now, can subtract. 15-12=3.

5 0
3 years ago
Read 2 more answers
Help needed now with Math question.
saveliy_v [14]

Answer:

is the last one

Step-by-step explanation:

5 0
3 years ago
Three points, A, B, and C exists in space such that B is "between" A and C. It is known that AB=7, BC=4, and AC=9. Are points A,
EleoNora [17]

If the points are collinear, then that would mean that the points lie on the same line when joined to each other. In order to confirm this, the distances between the points must sum up to the length of the line.<span>

AB + BC = AC
7 + 4 ? 9
11 ≠ 9

<span>Since they do not sum up, therefore, the points are not collinear.</span></span>

8 0
2 years ago
A company has net income of $940,000; its weighted-average common shares outstanding are 188,000. Its dividend per share is $0.8
alexgriva [62]

Answer:

19.2

Step-by-step explanation:

Net income                                   $940,000

No of shares outstanding             $188,000

Earning per share = Net income / no of shares outstanding  

Earning per share = 940,000 / 188,000

Earning per share = 5

Market price per share  = 96

Price earning ratio = Market price / Earning per share

Price earning ratio = 96 / 5  

Price earning ratio = 19.2

5 0
3 years ago
Solve the following equation for h.<br> 4h - 13 = -9h
IrinaK [193]

Answer:

the h equals 1

4(1) - 13 = -9(1)

6 0
2 years ago
Read 2 more answers
Other questions:
  • Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    12·1 answer
  • Which of the following points are solutions to the system of inequalities shown below?
    8·1 answer
  • Determine which of the values is a solution of 4t+6≤10<br><br>Solution =<br><br>not a Solution =​
    9·1 answer
  • there are 20 guests at a party. the host has 8 gallons of punch. he estimates that each guest will drink 2 cups of punch. if he
    9·2 answers
  • Can some one explain in an easy way pls
    5·1 answer
  • SelectTWO expressions that are equivalent to 8(x + 5y).
    9·1 answer
  • Help?????????????????​
    6·1 answer
  • Find the area of the shaded regions.
    11·1 answer
  • What is the value of w in the equation 2(2w − 16) = 0?
    7·2 answers
  • . sipho buys a car for r169 000. he pays a deposit of 15% and then makes monthly installments of 1% of the leftover amount for 9
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!