Question
In: Math
1)Assume that the service life in years of a semiconductor is a random variable that has...
1)Assume that the service life in years of a semiconductor is a random variable that has the Weibull distribution with alpha = 5 and beta = 3. What is the probability that a semiconductor like that will still be in operational condition between 3.7 and the 5 years?
2)Assume that the service life in years of a semiconductor is a random variable that has the Weibull distribution with alpha = 2 and beta = 4. What is the probability that a semiconductor like that will still be in operational condition until 4.9 years ?
Solutions
milcah answered 7 months agoRelated Solutions
The life of a certain small motor has been determined to be a random variable that...
The life of a certain small motor has been determined to be a
random variable that follows a normal distribution with an expected
value of 10 years and a standard deviation of two years. The
manufacturing company offers a 7 year warranty, during which time
it replaces for free any motor that stops working.
a. What proportion of motors will have to be replaced under
warranty?
b. What is the probability that it will be damaged the same day
the...
Assume the random variable X has a binomial distribution with the given probability of obtaining a...
Assume the random variable X has a binomial distribution with
the given probability of obtaining a success. Find the following
probability, given the number of trials and the probability of
obtaining a success. Round your answer to four decimal places.
P(X=6), n=10 , p=0.5
Assume the random variable X has a binomial distribution with the given probability of obtaining a...
Assume the random variable X has a binomial distribution with
the given probability of obtaining a success. Find the following
probability, given the number of trials and the probability of
obtaining a success. Round your answer to four decimal places.
P(X≤4), n=7, p=0.6
Assume the random variable X has a binomial distribution with the given probability of obtaining a...
Assume the random variable X has a binomial distribution with
the given probability of obtaining a success. Find the following
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obtaining a success. Round your answer to four decimal places.
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Question 1: Assume that the random variable X is normally distributed, with mean that = 47...
Question 1: Assume that the random variable X is normally
distributed, with mean that = 47 and standard deviation that = 7.
Compute the probability. Be sure to draw a normal curve with the
area corresponding to the probability shaded.
P(X< AND = TO 43)
Using technology, what is P(X< AND = TO 43) equal? (round to
four decimal places)
How did you find this answer using a graphing calculator??
Question 2: The mean incubation time for a type of...
1.Assume that X is a hypergeometric random variable with N = 15, S = 5, and...
1.Assume that X is a hypergeometric random variable with N = 15,
S = 5, and n = 5. Calculate the following probabilities. (Round
your answers to 4 decimal places.)
a
p(x=1)
b
p(x=5)
c
p(x≥2)
2. Consider the following discrete probability
distribution.
x
−20
−5
10
20
P(X = x)
0.44
0.18
0.09
a. Complete the probability distribution.
(Round your answer to 2 decimal places.)
b. What is the probability that the random
variable X is positive? (Round your...
Let X be a random variable representing the number of years of education an individual has,...
Let X be a random variable representing the number of years of
education an individual has, and let Y be a random variable
representing an individual’s annual income. Suppose that the latest
research in economics has concluded that:
Y = 6X +U
(1)
is the correct model for the relationship between X and Y , where U
is another random variable that is independent of X. Suppose Var(X)
= 2 and Var(Y ) = 172.
a. Find Var(U).
b. Find...
Assume that a continuous random variable has a following probability density function: f ( x )...
Assume that a continuous random variable has a following
probability density function:
f ( x ) = { 1 10 x 4 2 ≤ x ≤ 2.414 0 o t h e r w i s e
Use this information and answer questions 3a to 3g.
Question a: Which of the
following is a valid cumulative density function for the defined
region ( 2 ≤ x ≤ 2.414)?
A.F x ( x ) = 1 50 x 5 −...
1)Assume that the random variable X is normally distributed, with mean μ = 70 and standard...
1)Assume that the random variable X is normally distributed,
with mean μ = 70 and standard deviation σ = 13.
A)Find P(X ≤ 65) =
B) Find P(X > 55) =
C) Find P(X > 78) =
D) Find P(X > 78) =
2)The length of zebra pregnancies is normally distributed, with
mean μ = 380 and standard deviation σ = 10.
A)Find P(X < 365) =
B)Find P(X > 385) =
Assume a Poisson random variable has a mean of 9 successes over a 126-minute period. a....
Assume a Poisson random variable has a mean of 9 successes over
a 126-minute period.
a. Find the mean of the random variable, defined
by the time between successes.
b. What is the rate parameter of the
appropriate exponential distribution? (Round your answer to
2 decimal places.)
c. Find the probability that the time to
success will be more than 59 minutes. (Round intermediate
calculations to at least 4 decimal places and final answer to 4
decimal places.)
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