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Let X be normally distributed with mean μ = 2.5 and standard deviation σ = 2.
a. Find P(X > 7.6). (Round your final answer to 4 decimal places.)
b. Find P(7.4 ≤ X ≤ 10.6). (Round your final answer to 4 decimal places.)
c. Find x such that P(X > x) = 0.025. (Round your final answer to 3 decimal places.)
d. Find x such that P(x ≤ X ≤ 2.5) = 0.4943. (Negative value should be indicated by a minus sign. Round your final answer to 3 d
Round your final answer to 3 decimal places.)
Let X be normally distributed with mean μ = 2,500 and standard deviation σ = 800.
a. Find x such that P(X ≤ x) = 0.9382. (Round your final answer to nearest whole number.)
b. Find x such that P(X > x) = 0.025. (Round your final answer to nearest whole number.)
c. Find x such that P(2,500 ≤ X ≤ x) = 0.1217. (Round your final answer to nearest whole number.)
d. Find x such that P(X ≤ x) = 0.4840. (Round your final answer to nearest whole number.)
A random variable X follows the continuous uniform distribution with a lower bound of −2 and an upper bound of 4.
a. What is the height of the density function f(x)? (Round your answer to 4 decimal places.)
Use =1/(b-a) to compute f(x), height
b. What are the mean and the standard deviation for the distribution? (Round your answers to 2 decimal places.)
c. Calculate P(X ≤ −1). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
Multiply height, f(x) by base length to compute probability, area.
wer to 4 decimal places.)
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