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
Marta_Voda [28]
3 years ago
8

The average lifetime of a set of tires is 3.4 years. The manufacturer will replace any set of tires failing within three years o

f the date of purchase. The lifetime of these tires is known to follow an exponential distribution. What is the probability that the tires will fail within three years of the date of purchase?
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
7 0

Answer: the probability that the tires will fail within three years of the date of purchase is 0.12

Step-by-step explanation:

The average lifetime of a set of tires is 3.4 years. It means that μ = 3.4

Decay parameter, m = 1/3.4 = 0.294

The probability density function is

f(x) = me^-mx

Where x is a continuous random variable representing the time interval of interest(the reliability period that we are testing)

Since x = 3 years,

Therefore, the probability that the tires will fail within three years of the date of purchase is

f(3) = 0.294e^-(0.294 × 3)

f(3) = 0.294e^- 0.882

f(3) = 0.12

You might be interested in
4.8a - 6.3b - 2.1a + 7b
ololo11 [35]
First, you combine like terms. I would start by circling the term and the sign in front of it. (A term is a piece separated by an addition/subtraction sign.) You can only combine terms with the same variable. 4.8a-2.1a-6.3b+7b is the same as your equation, just rearranged. Then, subtract (4.8a-2.1a) which is 2.7a. Add (-6.3b to 7b) The answer is 0.7b. If you have any questions, you can message me!
5 0
3 years ago
Read 2 more answers
Can someone please answer only the ones that are shown in the pic above please?? I am confused
juin [17]
Heart, oxygen, pumped, energy
3 0
3 years ago
Read 2 more answers
Please help me with this
Masja [62]

Answer:

c = a - 16

Step-by-step explanation:

Given

a = b + 12 ( subtract 12 from both sides )

a - 12 = b

Substitute b = a - 12 into b = c + 4

a - 12 = c + 4 ( add 12 to both sides )

a = c + 16  ( subtract 16 from both sides )

c = a - 16

5 0
2 years ago
A __________________________of a set is those element within the universal set but not included in that set.
shepuryov [24]

Answer:

complement

Step-by-step explanation:

The complement of a set is the set in the universal set that is not included in that set

The universal set contains all elements

For example

U = { 1, 2, 3, 4, 5, 6, }

A = {1, 3, 6}

(complement of A) A' = {2, 4, 5}

4 0
2 years ago
Leticia charges $8 per hour to babysit. She babysat Friday night for 4 hours,
lions [1.4K]

Answer:

5 hours

Step-by-step explanation:

so you do 8 times 4

which gives you 32

72 - 32

40 divided by 8

5

3 0
3 years ago
Other questions:
  • What is the missing value for y?<br><br> a.)62<br> b.)60<br> c.)38<br> d.)21
    9·1 answer
  • An IAB study on the state of original digital video showed that original digital video is becoming increasingly popular. Origina
    8·1 answer
  • What is the value of x?
    12·1 answer
  • Where are earthquakes and volcanoes most likely to occur ?
    15·2 answers
  • Help on this one as well ii manged to get an answer but If you understand it or im wrong an you please explain ! thank you !!
    14·2 answers
  • The marginal price per pound (in dollars) at which a coffee store is willing to supply x pounds of Jamaican Blue Mountain coffee
    12·1 answer
  • What is the approximate volume of a cylinder with a height of 2 ft and a radius of 6 ft?
    7·1 answer
  • I need help with this problem
    9·1 answer
  • SOMEONE HELP, I HAVENT BEEN PAYING ATTENTION TO CLASS
    11·2 answers
  • Round 523,837 to the nearest thousand
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!