Let x be a random variable with the following probability distribution 4 8 10 P(x) k 0.15 4k 0.1 0.25 Find the expected value and the standard deviation for x. Select one: O a. 7 and 1.24 b. 6.5 and 2.519 6.5 and 2.414

Q: Match the following: A probability distribution for a random variable X: -3 0 0.15 0.20 X P(X=x) ✓…

A: X-8-3-10146P(X=x)0.130.150.170.200.150.110.09

Q: Let x be a random variable with the following probability distribution 2. 6. P(X) 0.3 0.2 0.3 k 0.1…

A:

Q: Consider the following probability distribution of the random variable x. f(x) 0.50 1 0.25 0.10 0.10…

A: Given probability at different point  P(X=0)= 0.50, P(X=1)=0.25, P(X=2)=0.10, P(X=3)=0.10,…

Q: Let x be a random variable with the following probability distribution 8 9 POX = x) = f (X) 1/12…

A: The total sum of the probabilities of the outcomes must be equal to 1. For this case, 1 =…

Q: The random varlable x, csxsd, is best described by a uniform probability distribution with mean 50…

A: Solution: Given : x ~U(c, d) And E(x) = 50       SD(x) = 7 ∴  V(x)    = 49 To find the values of c…

Q: The probability distribution of a random variable X is shown as follows: 1 3. 4 P(X=x) 0.1 0.4 K 0.1…

A:

Q: Calculate the probability that the switchboard receives:Less than four calls.Between 1 and 7 calls…

A: Step 1 : Define,X= number of calls received by the switchboardX takes values…

Q: A random variable, X has a binomial distribution. The number of trials is 12 and the probability of…

A:

Q: A small inn has 4 rooms.  Let X represent the number of rooms that are rented out on any given…

A: Given information- We have given the probability distribution for X.

Q: Select one: 1.4475. (1. 1 = 0.95 and a 2 and a 2. 2 anda? 1.4475. 1. 0.95 to 2.

A:

Q: Let x be a random variable with the following probability distribution X 1 2 3 P(x) 0.3 k 0.1 0.2…

A:

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: Let x be a random variable with the following probability distribution 1 3 P(x) 0.3 k 0.1 0.2 Find…

A: Solution: 10. From the given information, the probability distribution of X is

Q: 4. Compute the mean and standard deviation of the random variable with the given discrete…

A: x p(x) -3 0.10 0 0.17 1 0.36 3 0.37

Q: Find the standard deviation. Houses Sold (x) Probability P(x)

A:

Q: The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's…

A:

Q: The random variable X has the following probability distribution.…

A: X      1       2      3 P(X) 0.5   0.2    0.3 We select a random sample of size 2 (with…

Q: 1 2 3 4 P(X = x) 0.05 0.05 0.15 0.20 0.25 0.30 II. Construct the probability distribution for each…

A:

Q: Q 5) A die with six faces is rolled. The discrete random variable "X" represents the outcomes on the…

A: given distribution is x 1 2 3 4 5 6 P(X=x) a a a b b 0.3 table represents probability…

Q: Let X be a random variable with the following probability distribution: X -4 3 5 f(x) 0.3 0.2 0.5…

A: Given,E(X)=∑X.f(X)

Q: I'm waiting at a bus stop, I can take the bus 34, which I need to wait for, on average, 10 min, and…

A: Answer:-  Let X, be the random variable represents the time taken to wait for bus 34. Let Y, be the…

Q: P(x) Five males with an X-linked genetic disorder have one child each. The random variable x is the…

A:

Q: A random variable x has a standard normal probability distribution.  Which of the following…

A: Given that a random variable x has a standard normal probability distribution.

Q: The discrete random variable Xhas the probability distribution given by: 7 9. 12 13 15 P(X==) u/2…

A: Given: The probability distribution is, x 7 9 12 13 15 PX=x u2 0.05 0.35 u 0.15 The…

Q: Let x be a random variable with the following probability distribution 1 2 3 P(x) 0.1 0.4 0.2 k Find…

A:

Q: A discrete random variable X can assume the following values, 42, 44, 46, 48, 50. Its probability…

A: X 42 44 46 48 50 P(X) 0.3 a 0.2 0.1 0.15

Q: 2 The time to complete the eight-mile run around Mackinaw Island has a normal distribution The mean…

A: Given Information: Mean μ=56 Standard deviation σ=5

Q: Let x be a random variable with the following probability distribution Number 1 2 3 P(x)=f(x) k 1/3…

A:

Q: The probability distribution of a random variable X is given in the table below: -4 -2 4 .1 P(X = =)…

A: The probability at different values of x is given in the table of problem. The mean or expected…

Q: Let x be a random variable with the following probability distribution 2 4 P(x) 0.3 0.2 0.3 k 0.1…

A: answer the correct option is A a. 2.7 and 2.1

Q: Let X be a random variable with the following probability distribution: X -2 3 5 f(x) 0.5 0.2 0.3…

A: population mean : μ = E(x)

Q: Let X be a random variable that has a Poisson distribution. If the probability that X is greater…

A: Random variable X follows poisson distributionP(X>0)=0.9986

Q: Assume X has the following probability distribution: X 1 2 3 4 P(X) .1 .5 .2 .2 Compute the…

A: Given that probability distribution table.  X 1 2 3 4 P(X) .1 .5 .2 .2

Q: Compute the mean and standard deviation of the random variable with the given discrete probability…

A: The mean (μ) of a discrete random variable is calculated by summing the product of each outcome (x)…

Q: Let x be a random variable with the following probability distribution 2 4 P(x) 0.2 0.3 0.3 k 0.1…

A:

Q: Let X be a random variable with the following probability distribution: - 4 3 5 f(x) 0.6 0.3 0.1…

A:

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

A: As per the requirement solving (b), (c), and (d) part. Given: x P(x) 7 u/2 9 0.05 12 0.35…

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!