In the following distribution table, the probability of the random variable Y taking the values shown are: 1 3 4 p(y) 0.05 0.1 0.2 0.3 0.3 0.05 The expected value and variance of the random variable Y respectively are..

Q: Suppose that for a given computer salesperson, the probability distribution of x = the number of…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: The random variables X and Y have the joint probability distribution given below. X=1 X=2 Y=1 0.20…

A: Given data is

Q: is a computer-consulting firm. The number of new clients that it has obtained each month has ranged…

A: here no. of new clients and their probability is given we have to find out the variance for the…

Q: Solve the problem. 1) The random variable x represents the number of credit cards that adults have…

A: The question is about discrete probability distribution.Given :

Q: The discrete random variable Xhas the probability distribution given by: 7 12 13 15 P(X=2) u/2 0.05…

A: Solution: From the given information, the probability mass function of X is

Q: 4. Compute the mean and the Standard deviation of the probability distribution table of : 2 Y 0.2…

A:

Q: If ? is a binomial random variable, compute the mean, the standard deviation, and the variance for…

A: a) n = 3 p = 0.7   i) The mean is given byMean =npMean = 3 x 0.7 = 2.1ii) The standard deviation is…

Q: contestant in a baking show has 0.2, 0.7, and 0.1 probability of winning 3, 8, or 10 tickets,…

A: Given that  X 3 8 10 P(x) 0.2 0.7 0.1 Standard deviation =S.D Variance =Var(x)

Q: 3 4 5 6 7 8 0.3100 0.1200 0.1700 0.1200 0.1300 0.1000

A: The Probability that on a given day discipline officers discover violations Number of violations…

Q: Let X and Y be random variables where the expected value of X is 1, expected value of Y is 4,…

A: Given that E(X)=1E(Y)=4Var(X)=4Var(Y)=6Corr(X,Y)=0.50 Here Z=3X-2Y.

Q: Consider a random variable with the following probability distribution:  X          P(X) 0…

A: The table shows the probability distribution of X.

Q: Suppose X is a random variable with the following distribution: xi 1 2 5 10 pi 0.4 0.3 0.2…

A: the expected value of X is given by the formula EX=∑ixipi substitute the values…

Q: A barber expects to get between zero and six customers per hour in his barber shop. The probability…

A: Solution-: We have following table: X P(X) 0 0.15 1 0.07 2 0.29 3 0.26 4 0.13 5 0.09…

Q: Suppose that the probabilities are 0.3, 0.4, 0.1, and 0.2, respectively, that 0, 1, 2, or 3 power…

A: According to the given information in this question We need to find mean and variance

Q: A survey of colleges in the San Diego area yielded the following where x represents the number of…

A:

Q: Suppose X is a discrete random variable with the following probability distribution: P(X = 2) = 0.3…

A: Given information  P(X = 2) = 0.3, P(X = 4) = 0.2,P(X = 6)=0.5

Q: Suppose that for a given computer salesperson, the probability distribution of x= the number of…

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!