A random variable is uniformly distributed between 100 and 150. a. Draw the density function. b. Find P(X > 110). c. Find P(120 < X < 135). d. Find P(X < 122).
"f(x) = \\dfrac{1}{b-a} = \\dfrac{1}{50}"
a.) Probability density function can be drawn as,
b.) P(X > 110)
"= (150-110)\\dfrac{1}{50}"
"= \\dfrac{4}{5}"
"= 0.8"
c.) P(120 < X < 135)
"= (135-120)\\dfrac{1}{50}"
"= \\dfrac{15}{20}"
"= 0.3"
d.) P(X < 122)
"= (122-110)\\dfrac{1}{50}"
"= 0.24"
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