answer.
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
miss Akunina
3 months ago
7

A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must

function. Two of the parts have a .96 probability of functioning, and two have a probability of .99. What is the overall probability that the product will function properly
Mathematics
1 answer:
lawyer [12.5K]3 months ago
3 0

Answer:

P(functioning product) =.99*.99*.96*.96 =.0.903

Step-by-step explanation:

In order for the product to function, all four probabilities must succeed, hence:

P(Part-1)*P(Part-2)*P(Part-3)*P(Part-4)

where:

P(Part-1) = 0.96

P(Part-2) = 0.96

P(Part-3) = 0.99

P(Part-4) = 0.99

Since each part is independent, we apply the formula P(A∩B) = P(A)*P(B)

P (Functioning Product) = P(Part-1)*P(Part-2)*P(Part-3)*P(Part-4)

P (Functioning Product) = 0.96*0.96*0.96*0.99*0.99

P(Functioning Product) = 0.903

You might be interested in
Ariel left her home at 9 a.m., driving at 45 mph. At 11 a.m. her brother left the home and started after her at 60 mph. At what
lawyer [12517]

Response:

Her brother catches up to her at 11 am + 4 hours = 15 p.m

Detailed explanation:

Provided information;

Ariel's speed = 45 mph

She departed at 9 a.m

Her brother's speed = 60 mph

He began at 11 a.m

Inferred from the question: Since Ariel's speed is 45 mph, after two hours she is ahead by 90 miles.

Meanwhile, her brother travels at 60 mph, hence he is traveling (60 - 45) = 15 mph faster

Therefore, with this speed, he will catch up to her in \frac{90}{15} = 4 hours.

So her brother catches up with her at 11 am + 4 hours = 15 p.m

4 0
3 months ago
Read 2 more answers
Other questions:
  • A 2-column table with 8 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3, 4. The
    12·2 answers
  • The volumes of two similar prisms are 891 cm3 and 33 cm3. The surface area of the larger prism is 153 cm2. What is the surface a
    10·1 answer
  • Adante begins to evaluate the expression 3 and one-third times 5 and one-fourth using the steps below. 3 and one-third times 5 a
    7·2 answers
  • The cost for a company to manufacture x bracelets can be represented by the function C(x). Complete the sentence below using the
    10·2 answers
  • lucas and erick are factoring the polynomial 12x3 – 6x2 8x – 4. lucas groups the polynomial (12x3 8x) (–6x2 – 4) to factor. eric
    6·2 answers
  • Stacey has a part-time job at the bike shop. She saves $100 every four weeks for a new car. Find her rate of change After four w
    14·1 answer
  • A research organization wanted to estimate the average number of hours a college student sleeps per night during the school year
    8·1 answer
  • Which expression is equivalent to b^-2/ab^-3 assume a=0 b=0
    9·2 answers
  • Assume a warehouse operates 24 hours a day. Truck arrivals follow Poisson distribution with a mean rate of 36 per day and servic
    11·1 answer
  • The chess club decided to raise money with a car wash. They spent $27 on supplies and charged $5 for each car they washed. Which
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!