Given the following distributions: Normal (104) Triangular (4, 10, 16) Uniform (4, 16) find the probability...
5. Given the probability density f(x)= for -0<x<00, find k. 1+ 2 Jor -
Given the common probability distributions & moment generating functions NOTES Is very desirable to be used in applications but both the PDF MGF Normal ALT/ Notation N(μ,σ) population mean μ and population st dev σ sample space Ω is defined or all X must be known. s an approximation to the normal dist for smaller samples, with degrees freedom v T dist N/A ALT/ Notation T PLEASE LET ME KNOW IF YOU FIND AN MGF Sample space is defined Forx>0...
The probability density function of X is given by 0 elsewhere Find the probability density function of Y = X3 f(r)-(62(1-x)for0 < x < 1
3. [10] A triangular distribution which approximates women's height in inches is given by: 0.0064x - 0.32 for 50<x< 62.5 f(x)-(-0.0064 + 48 for 62.5 x Prove that this expression is a pdf. 4. [51 Using the distribution provided in problem 3, find the proportion of women with a height between 60 and 65 inches.
Given a normal distribution with u = 100 and o = 10, c. What is the probability that X < 75 or X>110? The probability that X < 75 or X>110 is .8475.
Find the following probability for a standard normal random variable, P(Z < 1.73). 1).9582 O2).0418 O3).1354 4) 9107
Given: 4 POINTS coso - , 0<0<x Find the exact value of the following trigonometric functions sine, tan and csce esco - 030<x В. Find the exact value of the following trigonometric functions sin, tan and seco,
Problem #2: Suppose that a random variable X has the following probability density function. SC(16 - x?) 0<x< 4 f(x) = 3 otherwise Find the expected value of x.
1) Suppose X is a Normal RV with mean = 12 and variance = 16. Find (a) P(X < 14) (b) P(14.5 < X < 18) (c) P(X < 16 or X > 12). Hint: Remember to always identify outcomes of interest first! (d) The center of the probability density function of X.
2. Find each probability for the standard normal distribution: a) P(-1.35 : <2.3) b) P(|=| > 1.95) 3. A certain capacitor has a normally distributed resistance with a mean off 600 ohms and a standard deviation of 150 ohms. A circuit board needs capacitors with a resistance between 700 and 950 ohms. What percentage of capacitors will meet the qualification?