A computer encoder makes an average number of 5 errors per page. Suppose he/she is asked to encode a certain document. a. What is the probability that he/she will make not more than 2 errors per page? b. Find the mean of the random variable, E(x).

Q: If Z is a random variable having the standard nor-mal distribution, find the probabilities that it…

A: a) The required is calculated as follows:

Q: ven a random variable having the normal distribution, with mean 16 and variance 1.5625, find the…

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Q: If Z denotes the standard normal random variable , then  P( -.58 < Z < .23) ?

A: The z-score is the number of standard deviations by which an event is occurring is over the mean…

Q: If X is normal random variable with mean 3 and variance 5, then find the probability P(2 < X <6).

A:

Q: What is the probability that a standard normal random variable Z lies between -2.42 and 1.76?

A:

Q: Which value for X will result in the greatest relative frequency give discrete random variable…

A: P.d.f of binomial distribution is given by, p(x)= nCx px qn-x , q=1-p X~B(4, 1/10)  p(x)= 4Cx…

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A:

Q: A coin is biased such that a tail is six times as likely to occur as a head. Find the expected…

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Q: Suppose that is a binomial random variable with n = 3, p=.22. what is the probability that X will…

A:

Q: Find the expected value for the random variable. 2. 3. 4 P(x) 0.1 0.2 0.2 0.5

A: In this case, we need to find the expected value.

Q: Since x is a Binomial random variable with a mean of 1.8 and a probability of success of 0.6, what…

A:

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Q: A random variable X has the probability distribution given in the following table: 2 3 4 5 6 P(X =…

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Q: Let the random variable X represent the number of cars that are used for official business purposes…

A: Consider, μA=∑xPA(x)     =(1*0.3)+(2*0.4)+(3*0.3)     =2 σA=∑x2PA(x)-∑xPA(x)2…

Q: Let X be a binomial random variable with n=7 and p=0.1, then The variance of X is 0.63 P(X>1)=…

A: Given: n=7 and p=0.1 Then, the variance isVariance=np1-p=70.11-0.1=70.10.9=0.63

Q: Given the normally distributed random variable X with σ = 5 and P(X ≥ 25)=.0526, find µ.

A: We have given that.    X~N( μ , ?^2 )    μ = ?    , ? = 5   Z-score =( x - μ )/?

Q: If MGF of random variable X is e*+Sr, find Prob(-1 <X<9).

A:

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Q: Suppose X is a binomial random variable that models the number of successes in n trials, where each…

A: Suppose X is a binomial random variable that models the number of successes in n trials, where each…

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A:

Q: The joint distribution of the random variable X and Y is given in the following table:

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Q: Given the normally distributed random variable x with σ=15 and P(x ≤ 50) = .9904, find μ.

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Q: Define the random variable X.

A: The table shows the probability distribution.

Q: Find the expected value of the random variable. 3 4 P(x) 0.2 0.3 0.4 0.1

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Q: The probability of being chosen in a simple random sample of size n from a population of size N is

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Q: If P(-2 <Z <k) = .6, where Z is a standard normal random variable, what is the value of k?

A: We need to find k such that

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.