Three parts are inspected, and each part has a probability of 0.98 of being correct. Create...
Parts coming off an assembly line have a 1% chance of being defective. If3 parts are randomly chosen from this line and X is the number of defective parts a. Compute the probability function f(x) for X. b. What is the probability that at least one of the three is defective? Parts coming off an assembly line have a 1% chance of being defective. All of the parts coming off the line are inspected. Let X be the number of...
111184 [Read-Old . Weed 1: distributions The probability that a part inspected is defective is 0.09, what is the probability of having 2 defects out of the next 5 parts inspected? Name the distibution. Generate Probability Distr. Function Question 2 expecied valaes Calculate the following using the frequency table below: Use the following probability distribution function ( is from the population data). Using Moment generating Functions, Calculate 1. the mean ) 2 the variance (Vx) 3. Standard Deviation (Sx) Answer!...
Suppose that X1, X2, ..., Xn is an iid sample, each with probability p of being distributed as uniform over (-1/2,1/2) and with probability 1 - p of being distributed as uniform over (a) Find the cumulative distribution function (cdf) and the probability density function (pdf) of X1 (b) Find the maximum likelihood estimator (MLE) of p. c) Find another estimator of p using the method of moments (MOM)
please answer the last part "the probability that at least one out of 3 devices of this type will function for at least 42 months:" (1 point) The probability density function of X, the lifetime of a certain type of device (measured in months), is given by 0 if x s 15 f(x)= if x> 15 Find the following: P(X> 18) 5/6 The cumulative distribution function of X: 0 if xs 15 F(x) 15/x +1 if x> 15 The probability...
(6 points) The continuous random variable X has cumulative distribution function given by 0 for0 for 0 < z < 2 for 2 F(z) = 〈 z-4z2 Part(a) Find Var(X), correct to 2 decimal places. Part(b) Find E(X) correct to 2 decimal places. Part(c) Find P(X>) Give your answer as a decimal, correct to 2 decimal places. Part(d) Find E(X), correct to 2 decimal places. Part(e) Find the value of c correct to one decimal place given that E(Xc) 4E(X-c...
(6 points) The continuous random variable X has cumulative distribution function given by 0 for x <0 for x > 2 Part(a) Find the value of c correct to one decimal place given that E(X c) 4E(X - c). 0.4 Part(b) Two independent observations of X are taken. Find the probability correct to 2 decimal places that one is less than 1 and the other is greater than 1. The order in which we take the observations matters. Part(c) Find...
A jar has two nickels, three quarters, and a half-dollar coin in it. Three coins are randomly drawn. (4) List the simple events in the sample space if order does not matter. You may use a code such as N = nickel 1, n = nickel 2, Q = quarter 1, q = quarter 2, p = quarter 3, and H = the half-dollar coin. (2) Show how to use a permutation or a combination formula to determine the number...
Please show how did you came up with the answer, show formulas and work. Also, please do Parts e to i. Thank you so much 1. Consider the following probability mass function for the discrete joint probability distribution for random variables X and Y where the possible values for X are 0, 1, 2, and 3; and the possible values for Y are 0, 1, 2, 3, and 4. p(x,y) <0 3 0 4 0.01 0 0 0.10 0.05 0.15...
10. A jar has two nickels, three quarters, and a half-dollar coin in it. Three coins are randomly drawn. a. (4) List the simple events in the sample space if order does not matter. You may use a code such as N= nickel 1, n= nickel 2, Q = quarter 1, q = quarter 2, p = quarter 3, and H = the half-dollar coin. b. (2) Show how to use a permutation or a combination formula to determine the...
A mixed random variable X has the cumulative distribution function e+1 (a) Find the probability density function. (b) Find P(0< X < 1).