Question

The lifetime of a part follows a gamma distribution with a mean lifetime of 2 years and a variance of 5 years squared. what is the probability that a random part dies within the first 3 years?

Answer #1

Exercise 2:
The lifetime of a battery follows a normal distribution with
mean μ = 3 years and σ = 0.5 years.
1. What is the probability that the battery lasts more than 2.3
years?
2. What is the probability that the lifetime of the battery is
between 2 and 4.3years?
3. Find the value of x above which lies the 12% most lasting
batteries.

The lifetime of a certain battery follows a normal distribution
with a mean 276 minutes and standard deviation 25 minutes. We took
a random sample of 100 of these batteries. What is the probability
that the sample mean of the lifetime will be less than 270
minutes?

Suppose the lifetime, in years, of a motherboard is modeled by a
Gamma distribution with parameters α=80α=80 and λ=4λ=4. Use the
Central Limit Theorem to approximate the probability that the
motherboard of a new computer will last for at least the next 15
years.

The lifetime of a certain battery follows a normal distribution
with a mean 276 minutes and standard deviation 20 minutes. We took
a random sample of 100 of these batteries. What is the probability
that the sample mean of the lifetime will be less than 270
minutes?
A.0.9987
B.0.0013
C.0.4987
D.0.3821

Suppose that the lifetime (in weeks) of a transistor has a gamma
distribution with parameters
α = 4, β = 6. What is the probability that a random transistor will
last longer than 30 weeks

The lifetime of a lightbulb follows a normal distribution with
mean 1500 hours and standard deviation of 100 hours. a. What is the
probability that a lightbulb will last at least 1400 hours? b. What
is the probability that a light bulb burns out in fewer than 1600
hours? c. What is the probability that a light bulb burns out in
fewer than 1600 hours given that it has lasted 1400 hours? d. A
technology breakthrough has occurred for which...

Assuming the life expectancy of horses follows the normal
distribution with a mean of 27 years and a standard deviation of
1.2 years. a) If we randomly select 13 horses, what is the
probability that the average lifetime of these horses is greater
than or equal to 28 years. b) In a group of 35 horses,
approximately how many of them will live between 25 to 30 years? c)
Knowing that a horse dies earlier than 63% of all horses,...

Suppose that the lifetime (in weeks) of a transistor has a gamma
distribution with parameters
α = 4, β = 6. What is the probability that a random transistor will
last longer than 30 weeks?
(10 pts.)
Please need correct answer for a test.

Question 1
(a) Suppose the lifetime of ABC light bulbs follows a normal
distribution with mean lifetime of 800 hours and standard deviation
of 60 hours. Compute the probability that a random sample of 16
light bulbs will have mean lifetime of:
(i) between 790 and 810 hours.
(ii) less than 785 hours.
(iii) more than 820 hours.
(b) A survey questionnaire was sent to 100 students. Assume the
probability that any one of these students would reply is 0.2....

The type of battery in Jim's laptop has a lifetime (in years)
which follows a Weibull distribution with parameters α = 2 and β =
4 . The type of battery in Jim's tablet has a lifetime (in years)
which follows an exponential distribution with parameter λ = 1 / 4
. Find the probability that the lifetime of his laptop battery is
less than 2.2 years and that the lifetime of his tablet battery is
less than 3.1 years.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 15 minutes ago

asked 16 minutes ago

asked 20 minutes ago

asked 23 minutes ago

asked 24 minutes ago

asked 25 minutes ago

asked 26 minutes ago

asked 34 minutes ago

asked 36 minutes ago

asked 45 minutes ago

asked 1 hour ago