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
bezimeni [28]
3 years ago
5

5. A company sells small, colored binder clips in packages of 20 and offers a money-back guarantee if two or more of the clips a

re defective. Suppose a clip is defective with probability 0.01, independently of other clips. Let X denote the number of defective clips in a package of 20. (a) The distribution of the random variable X is (choose one) (i) binomial (ii) hypergeometric (iii) negative binomial (iv) Poisson. (b) Specify the value of the parameter(s) of the chosen distribution and find the probability that a package sold will be refunded.
Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0

Answer:

a) Binomial.

b) n=20, p=0.01, k≥2

The probability hat a package sold will be refunded is P=0.0169.

Step-by-step explanation:

a) We know that

  • the defective probability is constant and independent.
  • the sample size is bigger than one subject.

The most appropiate distribution to represent this random variable is the binomial.

b) The parameters are:

  • Sample size (amount of clips in the package): n=20
  • Probability of defective clips: p=0.01.
  • number of defective clips that trigger the money-back guarantee: k≥2

The probability of the package being refunded can be calculated as:

P(x\geq2)=1-(P(x=0)+P(x=1))\\\\\\P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\\\\\\P(x=0) = \dbinom{20}{0} p^{0}q^{20}=1*1*0.8179=0.8179\\\\\\P(x=1) = \dbinom{20}{1} p^{1}q^{19}=20*0.01*0.8262=0.1652\\\\\\P(x\geq2)=1-(0.8179+0.1652)=1-0.9831=0.0169

You might be interested in
I need some help with this calculus 1 question.
Cerrena [4.2K]

Answer:

(a) f'(1)=-4

(b) y+4x-4=0

Step-by-step explanation:

<u>Tangent Line of a Function</u>

Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.

We are given

y=x-x^5

The derivative is

y'=1-5x^4

(a) The slope of the tangent line at (1,0) is

f'(1)=1-5\cdot 1^4=-4

f'(1)=-4

(b) The equation of the tangent line can be found with the general formula of the line:

y-y_o=m(x-x_o)

Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus

y-0=-4(x-1)

Or, equivalently

y+4x-4=0

3 0
2 years ago
If you divide 3,180 and 4 what would the answer be?
rodikova [14]
3,180 divided by 4 = 795!
3 0
3 years ago
Read 2 more answers
Which organism is a consumer?<br> Oak tree<br> Rosebush<br> Prairie dog<br> Tomato plant
BlackZzzverrR [31]

Answer:

prairie dog

Step-by-step explanation:

because this eats the other organisims

7 0
2 years ago
A line through which two points would be parallel to a line with a slope of 3/4?
Mumz [18]

Answer:

F. (0, 5) and (-4, 2)

Step-by-step explanation:

We need to calculate the slope of each of the given sets of points until we find the set associated with a slope of 3/4:

F. (0,5) and (-4,2) As we go from (-4, 2) to (0,5), x increases by 4 and y increases by 3, so the slope is m = rise / run = 3/4. This is the line with slope 3/4.

5 0
3 years ago
PLEASE HELP! I NEED TO FINISH THIS IN 5 MINUTES!
andriy [413]

Answer: C

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • Please answer this I have trouble with it
    11·2 answers
  • 1 1/3 ÷ 5/6 qual e a resposta dessa pergunta<br><br><br>​
    8·1 answer
  • What's a type of expression that contains a variable or variables
    10·1 answer
  • there was a giant brownie on a plate at a birthday party ben ate 5/12 of the brownie walter ate 2/5 of the brownie how much more
    14·1 answer
  • let m be the number of months. write an expression to show the total amount deposited after m months.​
    14·2 answers
  • What is three-fourths times a square of a number<br><br> just write the equation
    8·1 answer
  • A thunderstorm travels at a constant speed. In 15 minutes , the storm travels 12 miles. If the storm continues to travel at the
    13·1 answer
  • PLS HELP!<br> What is the value of x in the figure?<br><br> Enter your answer in the box.<br> x =
    11·2 answers
  • Suppose your friends parents invest $15,000 in an account paying 6% compounded annually. What will be the balance after 9 years
    9·1 answer
  • Kayshaunna owes 4 people 6$. She mistakenly says she is in debt 30$. How many people would she owe 6$ to if her debt was 30$
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!