A fair coin was tossed 2 times. x is the number of tails occurred. Assuming x be a discrete random variable with probability distribution p(x). The standard deviation of x equals Choose... + The variance of x equals: 0.71 A fair coin was tossed 2 times. X is the number of tails occurred. Assuming x be a Choose... discrete random variable with probability distribution p(x).

Q: The random variable X, representing the number of errors per 100 lines of software code, has the…

A:

Q: A manufacturer produces a commodity where the length of the commodity has approximately normal…

A: Given that, Mean = 16.9 Standard deviation = 2.7 Sample size = 50

Q: Calculate ​P(2.5≤x≤4​). b. Determine ​P(x<3​). c. Compute the​ mean, μ​, and the standard​…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: the number of computers sold per day at local computer store along with is corresponding…

A: From the given data: X P(x) X·P(x) X2·P(x) 0 0.1 0 0 1 0.2 0.2 0.2 2 0.3 0.6 1.2 3 0.2…

Q: Find the probability that the value of an item drawn at random from a normal distributiontion with…

A:

Q: The random variable, X, representing the number of cherries in a cherry cake, has the following…

A: The random variable x denotes the number of cherries in a cherry cake.

Q: Find the standard deviation for the given probability distribution. Round to the nearest hundredth.…

A: The probability distribution table is given. We know that, Standard deviation = E(X2)-[E(X)]2

Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…

A:

Q: The table on the last page displays the cdf for continuous random variable X, which has a mean of 1…

A: We know, the median divides the data into two equal parts, therefore, If PX≤x=PX≥x=0.5, then x is…

Q: Let y be a random variable having a normal distribution with a mean equal to 250 and a standard…

A: Population mean (mu) = 250Standard deviation (sigma) = 10a) show that the event y&lt; 260 has the…

Q: we are evaluating two random variables X and Y with probabilitydistribution equal to: p(x, y) = P (X…

A:

Q: Let y be a random variable having a normal distribution with a mean equal to 250 and a standard…

A: Given Data: Y is the random variable Mean( Y)=250 Standard Deviation (Y)=50   Y~ Normal (250, 502)

Q: A discrete random variable X has its probability mass function given by this histogram. 0.45/ 0.4…

A:

Q: Suppose that the random variable X has a geometric distribution with a p = 0.4. Calculate the…

A:

Q: Suppose a random variable x is best described by a normal distribution with = 60 and o=4. Find the…

A: The mean is 60 and the standard deviation is 4.

Q: Let æ be the number of heads when a coin is tossed 2 times. What is the expected value E(x)? What is…

A:

Q: fter deducting grants based on need, the average cost to attend USC is μ=$28,000. The population…

A: Given that  The average cost to attend USC is $28,000 Population mean (μ) = $28,000 Population…

Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…

A: Given  μ=2.5σ=3.5n1=45n2=46 Consider, EX¯1-X¯2=μ1-μ2=2.5-2.5=0…

Q: P(x) 0.645 1. 0.297 0.052 0.005 0.001 0.000 2345

A: We have to use following formulae , Standard deviation : σ = ∑( x - μ)2p(x) Where , μ is mean μ =…

Q: The number of Instagram posts of members of a company on Sundays has the following valid probability…

A: Given X (Number of posts) P(X) 0 p 1 0.4 2 0.05 3 0.15

Q: 2. Given a random variable X having a normal distribution with -40 and o-5, find the probability…

A:

Q: The waiting time to get a take-out order of food at a fast food restaurant is the time that elapses…

A: Given Data: let X represent the random variable   Mean=5 SD=1.41   X~ Normal (5, 1.41)

Q: 1. n = 30 and p = 0-6 2. n = 50 and p = 0.45 3. n = 80 andp= 0.35

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

Q: Q3: Let i be the observed mean of a random sample of size n from a distribution having mean u and…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: A random variable X given in the probability distribution below is the number of persons entering…

A: The random variable X denotes the number of persons entering the bank every hour during a span of…

Q: Find the variance and standard deviation of X

A: The variance can be calculated as V(X) = E(X2) - [E(X)]2

Q: Suppose the random variable X follows a normal distribution with mean 30 and variance 81. Then the…

A: Normal Distribution :  A normal distribution is the proper term for a probability bell curve. In a…

Q: find the following probability. P(25<x<32)

A: Given that X follows N(mean = 25, SD = 4), then Z = (X - mean)/SD follows N(0,1)

Q: places.) x 0 1 2 3 P(X = x) 0.4 0.3 0.1 0.2 ? =

A: Given information- We have given the probability distribution for X. The given observations and…

Q: The probability distribution of a random variable X is given in the table below: -4 -2 2 4 .1 .2 .3…

A: Mean=E(X)=-4(0.1)+(-2)(0.2)+0(0.3)+2(0.1)+4(0.3)=0.6

Q: Q4: Suppose that X has a discrete uniform distribution on the integers 0 through 9. Determine the…

A: According to the given information, we have X follows discrete uniform distribution with parameters…

Q: The standard deviation of a discrete random variableo is the positive square root of it- O a.…

A: The standard deviation, σ, is the positive square root of the variance

Q: Consider a random sample from the distribution of Binomial, Poisson, Exponential, Gamma, and normal.…

A: The MSE of statistic is obtained as given below: Let  T4 =∑X (n + 1). Let Xi~Bn,p, the p.m.f of Xi…

Q: The probability distribution of random variable X is defined as follows:   X 0 1 2 3 4…

A: mean=expected value=E(X)=∑xP(X)

Q: For a random variable that us normally distributed with mean equal to 1300 and standard deviation…

A:

Q: The volume of a dog shampoo filled into a container is uniformly distributed between 370 and 380…

A: Obtain the mean of the volume of dog shampoo.   The mean of the volume of dog shampoo is obtained…

Q: (a) Given a random varniable X which is normally distributed with mean 15 and standard deviation 10,…

A:

Q: Consider the probability distribution function: X: 1 Probability: 0.2 0.7 0.1 For the above…

A: Given Data: X P(X) X P(X) X2 P(X) 0 0.2 0 0 1 0.7 0.7 0.7 2 0.1 0.2 0.4     ∑X P(X)=0.9…

Q: Find the standard deviation of the random variable X with the given probability distribution. * 1 2…

A: For the given data S.D =?

Q: Let X distributed as a Normal random variable with a mean of 15 and a standard deviation of  3. A)…

A: Solution: A. Let X be the random variable. From the given information, X follows normal distribution…

Q: Let x be a random variable that has a normal distribution with a mean of 40 and a standard deviation…

A: The probability of x less than 49 is, Thus, the probability of x less than 49 is 0.9641.

Q: When conducting research on allergic reactions to a new drug, a researcher forms random groups with…

A: 0 0.665 0 0 0 1 0.278 0.278 1 0.278 2 0.052 0.104 4 0.208 3 0.004 0.012 9 0.036 4 0.001…

Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…

A: Solution-: Given: Service time for a counter coming through a checkout counter with means…

Q: X is a normally distributed random variable with a mean of 10 and a standard deviation of 5. The…

A: Given data, μ=10σ=5P(X&lt;9.7)=?

Q: Q4: Suppose that X has a discrete uniform distribution on the integers 0 through 9. Determine the…

A:

Q: Let X distributed as a Normal random variable with a mean of 15 and a standard deviation of  3. A)…

A: It is given that:

Q: The random variable x has a normal distribution with mean 50 and variance 9. Find the value of x,…

A: Since, you have you have posted a question with multiple subparts we will solve first three subparts…

Q: estions 1. Residents of rural Wisconsin drink an average of 4L of soda per week, with a standard…

A:

Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…

A:

Q: Let the random variable x have a normal distribution with a mean value of 70 and a variance of 25.…

A: Given data: Mean = 70 Variance = 25 To find: P (x &lt; 80 ) = ?