Consider a uniform distribution from a = 1 to b= 22. (a) Find the probability that x lies between 7 and 12. (b) Find the probability that x lies between 4 and 18. (c) Find the probability that x lies between 6 and 10. (d) Find the probability that x lies between 10 and 19. A Click the icon to see the definition of the uniform distribution. Uniform Distribution A uniform distribution is a continuous probability distribution for a random variable x between two values a and b (a
Consider a uniform distribution from a = 1 to b= 22. (a) Find the probability that x lies between 7 and 12. (b) Find the probability that x lies between 4 and 18. (c) Find the probability that x lies between 6 and 10. (d) Find the probability that x lies between 10 and 19. A Click the icon to see the definition of the uniform distribution. Uniform Distribution A uniform distribution is a continuous probability distribution for a random variable x between two values a and b (a
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![Consider a uniform distribution from a =1 to b = 22.
(a) Find the probability that x lies between 7 and 12.
(b) Find the probability that x lies between 4 and 18.
(c) Find the probability that x lies between 6 and 10.
(d) Find the probability that x lies between 10 and 19.
Uniform Distribution
A uniform distribution is a continuous probability distribution for a random variable x
between two values a and b (a < b), where asxsb and all of the values of x are
equally likely to occur. The probability density function of a uniform distribution is
Click the icon to see the definition of the uniform distribution.
(a) The probability that x lies between 7 and 12 is
(Round to three decimal places as needed.)
1
on the interval from x = a to x = b. For any value of x less than a or
y =
b-a
greater than b, y = 0.
(b) The probability that x lies between 4 and 18 is
(Round to three decimal places as needed.)
For two values c and d, where
asc<d<b, the probability that x lies
between c and d is equal to the area
under the curve between c and d, as
shown. So, the area of the central
shaded region equals the probability
(c) The probability that x lies between 6 and 10 is
1
(Round to three decimal places as needed.)
b-a
(d) The probability that x lies between 10 and 19 is
(Round to three decimal places as needed.)
that x lies between c and d.
X
a
d.
Print
Done](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0a5c34e-0203-4ec1-a4e7-8e66c2a065e5%2F9af9b36d-6b51-4bbd-b904-44d85ffdad72%2Fjfgfjxn_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a uniform distribution from a =1 to b = 22.
(a) Find the probability that x lies between 7 and 12.
(b) Find the probability that x lies between 4 and 18.
(c) Find the probability that x lies between 6 and 10.
(d) Find the probability that x lies between 10 and 19.
Uniform Distribution
A uniform distribution is a continuous probability distribution for a random variable x
between two values a and b (a < b), where asxsb and all of the values of x are
equally likely to occur. The probability density function of a uniform distribution is
Click the icon to see the definition of the uniform distribution.
(a) The probability that x lies between 7 and 12 is
(Round to three decimal places as needed.)
1
on the interval from x = a to x = b. For any value of x less than a or
y =
b-a
greater than b, y = 0.
(b) The probability that x lies between 4 and 18 is
(Round to three decimal places as needed.)
For two values c and d, where
asc<d<b, the probability that x lies
between c and d is equal to the area
under the curve between c and d, as
shown. So, the area of the central
shaded region equals the probability
(c) The probability that x lies between 6 and 10 is
1
(Round to three decimal places as needed.)
b-a
(d) The probability that x lies between 10 and 19 is
(Round to three decimal places as needed.)
that x lies between c and d.
X
a
d.
Print
Done
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