Compute the probability for a random variable X with µ=10 and σ=2. Calculate P(9 < X < 11).
Compute the probability for a random variable X with µ=10 and σ=2. Calculate P(9 < X...
Assume that the random variable X is normally distributed, with mean µ = 50 and standard deviation σ = 7. Compute the probability P(X ≤ 58). Be sure to draw a normal curve with the area corresponding to the probability shaded.
Let X have a normal distribution with µ=10 and σ=2. Determine the probability or area in the normal curve for which P(8<X<12).
Let X have a normal distribution with µ=10 and σ=2. Determine the probability or area in the normal curve for which P(8<X<12). a)0.75 b)0.2275 c)0.05 d)0.6827
A discrete random variable X is defined by the following probability distribution X 2 7 9 10 P ( X = x ) 0.08 0.12 0.38 0.42 Find the following : μ = E ( X ) E(X^2) . E ( 2X + 3 ) E ( 4X − 8 ) σ ^2 = Var ( X ) σ = SD ( X )
X is a random variable with a lognormal distribution and that Y = ln(X) ∼ N(µ, σ2 ). Prove that µX = e ^ (µ+ (σ^2)/2 )
Suppose the random variable X follows a normal distribution with mean µ = 84 and standard deviation σ = 20. Calculate each of the following: P(X > 100) P(80 < X < 144) P(124 < X < 160) P(X < 50) P(X > X*) = .0062. What is the value of X*?
If X is a normal random variable with μ =-2 and σ = 3, and has probability density function and cumulative density function fx (z), FX (z), calculate . P(-3< X < 0) F(1/4
Assume the random variable X is normally distributed with mean μ=50 and σ=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. (35<X<57) (35<X<57)=__?__ (Round to four decimal places as needed.)
If continuous random variable X~ N(6,4), compute * 1) Probability P(X>6.) 2) Probability P(3.<X<7.) 3) Probability P(-1.5<X<2.5) 4) Probability P(-2.<X-2<5.) Show your explanations. Displaying only the final answer is not enough to get credit. Note: round calculated numerical values to the fourth decimal place where applicable.
If continuous random variable X~ N(6,4), compute 1) Probability P(X>6.) 2) Probability P(3.<X<7.) 3) Probability P(-1.5 <X<2.5) 4) Probability P(-2.<X – 2<5.) Show your explanations. Displaying only the final answer is not enough to get credit. Note: round calculated numerical values to the fourth decimal place where applicable.