the probability that a capacitor is good 0.98 and that it is bad is 0.02. if three capacitors are selected at random, give the pmf of the random variable x, where x is the capacitor
the probability that a capacitor is good 0.98 and that it is bad is 0.02. if...
Three parts are inspected, and each part has a probability of 0.98 of being correct. Create a probability mass function for the number of correct parts in the inspection.” Give your answer as P(X=0)= ?, P(X=1)=?, etc.. Give the cumulative probability distribution for Question 1. Answer as P(X=0)=?, P(X<=1)=?, etc. (where “<=” means less than or equal to)
Suppose that in a batch of 500 components, 20 are defective and the rest are good. A sample of 10 components is selected at random with replacement, and tested. Let X denote the number of defectives in the sample. a. What is the PMF of X? State the distribution, its parameters, and give the equation for its PMF with the correct parameters. b. What is the probability that the sample contains at least one defective component?
The probability model (PMF) for random variable X is The conditional probability model (PMF) for random variable Y given X isWhat is the joint probability model (PMF) for random variables X and Y? Write the joint PMF, PX,Y(x, y), as a table. (Hint: Start with which values the random variable y can take.)
Please answer the question clearly
1. Find the probability distribution (PMF) of Y, denoted by f(y), where Y is the absolute differ- ence between the number of heads and the number of tails obtained in four tosses of a balanced coin 2. Determine whether the function f(x) is a valid probability distribution (PMF) for a random variable with the range r - 0,1,2,3, 4. r2 f()30 3. Suppose X is a random variable with probability distribution (PMF) given by f(x)...
Write a Code in Java or Python, for the following scenario(s): Consider three six-sided dice, and let random variable Y = the value of the face for each. The probability mass of function of Y is given by the following table: y 1 2 3 4 5 6 otherwise P(Y=y) 0.35 0.30 0.25 0.05 0.03 0.02 0 Roll the three dice and let random variable X = sum of the three faces. Repeat this experiment 50000 times. Find the simulated...
Consider three six-sided dice, and let random variable Y = the value of the face for each. The probability mass of function of Y is given by the following table: y 1 2 3 4 5 6 otherwise P(Y=y) 0.35 0.30 0.25 0.05 0.03 0.02 0 Roll the three dice and let random variable X = sum of the three faces. Repeat this experiment 50000 times. Find the simulated probability mass function (pmf) of random variable X. Find the simulated...
The outcome can be either good or bad. The probability that
the good outcome realizes is 50%. The cash flow is shown in the
above table. Given the riskiness of the business, investors require
a 15% risk premium over the risk-free rate of 5%. To answer this,
make appropriate assumptions. In answering the following questions,
show detailed steps and discuss your results.
Q4. Suppose that you are an entrepreneur with the following business opportunity Year 0 Year 1 Cash flow...
Probability and Conditional Independence Suppose there are two types of candidates good candidates G and bad candidates Gº. There are two interviews that a candidate can be selected for: 11 and 12, (I denotes the candidate not getting the first intreview, 15 denotes the candidate not getting the second interview). Here below we list the conditional probabilities for good and bad candidates respectively: Consider the conditional probability table below: Probability Value PIIN 12G) 0.0625 Plin 12G) 0.1875 P(I Ո IS|G)...
1. (20 pts) A box contains 40 diodes of which 10 are known to be bad. (a) A diode is selected at random. What is the probability that it is bad? (b) If the first diode drawn from the box was good, what is the probability that a second diode drawn will be good?
2. Determine whether the function f(x) is a valid probability distribution (PMF) for a random variable with the range 0,1,2,3,4 12 f(x) = 30 3. Suppose X is a random variable with probability distribution (PMF) given by f( and a range of 0,1, 2. Find the distribution function (CDF) for X 6