Assume we roll four six-sided dice. (The dice are distinct, i.e. each is a different color.) Use generating functions to find the number of ways we can roll a total of 15.

Q: Given X N(20,16), find b. P (X <19) (4 decimal place)

A: X~N( μ , ?2 )   μ=20 , ?=4   Z-score =( x - μ )/?

Q: Q 1 If X is a random variable with distribution X: 0 1 2 3 111 P(X): - - - - 4444

A: As per policy I have calculated first main question plz REPOST for remaining questions. Here given…

Q: In a university class of 200 students, where 60% are females and 40% are males, what is the…

A: Answer:   We have a university class of 200 students, 60% female and 40% male. This means we have…

Q: Of the 39 play attributed to a playwright, 10 are comedies , 15 are tragedies, and14 are histories.…

A: Total plays 39 10 are comedies , 15 are tragedies, 14 are histories.

Q: Create a question for yourself based on Bayesian probability, i. Draw the main tree. ii. Draw the…

A: Bayesian probability is the probability of occurrence of an event based on available evidence.

Q: wance. He gets 21 out of 28 c obability that he would have do f he had no ESP?

A:

Q: In a survey, cell phone users were asked which ear they use to hear their cell phone, and the table…

A: Here the given table is  we know that, In any probability distribution there are some conditions…

Q: A maintenance firm has gathered the following information regarding the failure mechanism for air…

A: A maintenance firm has gathered the following information regarding the failure mechanism for the…

Q: tomorrow. Of the students who are ill today, 55% will still be ill tomorrow. What is the stochastic…

A: On given day, a student is either healthy or ill. Of the students who are healthy today, 95% will be…

Q: The average cost per household of owning a brand new car is P5,500. Suppose that we randomly…

A: Mean(μ)=5500 standard deviation(σ)=1550 sample size(n)=45

Q: Suppose we roll one die repeatedly and let N; be the number of the roll on which appears. Find the…

A:

Q: For the following two samples of scores, calculate the pooled variance from an Independent-Samples…

A: We have given the following data Independent-Samples t-test.     Sample 1 Sample 2 n1 n2…

Q: 2. You have two coins, one that comes up heads 50% of the time and one that comes up heads 70% of…

A: We will conclude the is biased if the number of heads is &gt;=8 X be the number of heads in 10…

Q: A bag of marbles contains six red marbles, five green marbles, and three yellow marbles. If you…

A: We have given that Number of red marbles = 6  Number of green marbles = 5 Number of yellow marbles =…

Q: We repeat a coin-like event 5 times with probability 0.3 of success. What is the probability of…

A: Number of trials=5  Probability of success=0.3 We have to find the probability of getting 1 success…

Q: The following table contains the probability distribution for X = the number of re-transmissions…

A: 1) We have given the following probability distribution x P(x) 0 0.40 1 0.30 2 0.25 3…

Q: Statistics students in Oxnard College sampled 11 textbooks in the Condor bookstore and recorded the…

A: The variables are number of pages (x) and cost (y).

Q: A movie club surveyed  250  high school students. The students were asked how often they go to the…

A: Twice a monthor less Three times a monthor more Total Action 85 20 105 Drama 90 55 145…

Q: The continuous random variable X has the following probability density function (pdf), for some…

A:

Q: When Brett Kavanaugh was nominated to be a Supreme Court justice, a survey of 1029 Americans showed…

A: From the provided information, Sample size (n) = 1029 From which 51.1% disapproved of Kavanaugh that…

Q: There 20 Malays Indians and 10 Chinese's students in a seminar. Find the value of x for each of the…

A:

Q: A variable of a population has a mean of fl = 300 and a standard deviation of a = 35. a. The…

A: Population mean =300 Standard deviation =35  We have to find a...mean and standard deviation of…

Q: Let X be the tow rating of a randomly chosen popular SUV from the list above. (a) What are the…

A: The variable x denotes the tow rating of a randomly chosen popular SUV from the list above.

Q: Determine whether the graph can represent a normal curve. If it cannot, explain why. j

A: The graph of a normal distribution is symmetric around its mean. and Bell-shaped curve

Q: Consider the following hypothesis test: H0: ?  ≥  19 Ha: ?  <  19 A sample of 49 provides a sample…

A: From the provided information, Sample size (n) = 49 Sample mean (x̄) = 18 Sample standard deviation…

Q: Suppose x~N(4,6), what is the approximate probability of x>5 P(X>5) Round to four decimals

A: Answer: From the given data, X follows N(4,6) Mean (μ) = 4 Standard deviation (σ) = 6 X follows…

Q: One card is randomly selected from a deck of cards. Find the odds against drawing a black four.

A: There are 52 cards in the standard deck card. There are 26 black cards out of 52 cards that are from…

Q: In a certain weather forecast, the chances of a thunderstorm are stated as 24 out of 100. Express…

A: The chances of a thunderstorm are stated as 24 out of 100

Q: Elizabeth brought a box of donuts to share. There are two dozen(24) donuts in the box, all identical…

A: There is total 24 donuts in the box.

Q: A survey showed that 34% of human resource professionals are at companies that rejected job…

A: Let X be a random variable which denotes the number of job candidates that were rejected out of the…

Q: Suppose that events M and N are independent, P(M)= 0.6, and P(N) = 0.8 What is P(M and N)?…

A: Answer: From the given data, P(M) = 0.6 P(N) = 0.8

Q: Divide a line segment into two parts by selecting a point at random find the Probablity that the…

A: We have, If a function has a continues cumulative distribution function then the variable X is…

Q: Here is a bivariate data set. x y 26 139 32 -53 3 130 40 48 59 25 55 23 40 82 27 106 34 143 52 112…

A: The data shows the bivariate data set.

Q: Management proposed the following regression model to predict sales at a fast-food outlet. y = Bo +…

A: Let, the model is given as- y=β0+β1x1+β2x2+β3x3+e where, x1 denotes the number of competitors within…

Q: In this problem you will get additional practice with the concepts of marginal probability, joint…

A: The dataset is given as-     Party identification     Ethnic group Democrat Independent…

Q: Calculate the number of different three cards patterns that a player can play. Calculate the…

A: Here, The number of red cards players have is 3The number of black cards players have is 3 a) The…

Q: For mated pairs of gallinules (type of water bird), let X equal the weight in grams of the male and…

A: In the given context, the correlation coefficient is a negative real number (i.e. -0.25), which…

Q: If z is a standard normal random variable, find the probability. The probability that z lies…

A: From the provided information, z is a standard normal random variable. The probability z lies…

Q: An unknown metal has been found and the following experimental results have been tabulated in the…

A: X Y 20 222.3 21.5 246.2 23 258.2 24.5 277.8 26 291.9 27.5 318.1 29 322.3

Q: u= 100 and a standard deviation of o = a. The sampling distribution of the sample mean for samples…

A: Let X be the random variable from normal distribution with mean (μ) = 100 and standard deviation (σ)…

Q: Q5. A school musical director can select 2 musical plays to present next year. One will be presented…

A: A school musical director can select 2 musical plays to present next year. One will be presented in…

Q: Assuming all 5 generaors are perfectly correlated (if one fails they all fail), calculate the…

A: Here given probability of failure of 5 generator are as given in above table.

Q: but what is the answer

A: but what is the answer

Q: (5) To identify the correct expression for the probability "In a box there are Defective and Non…

A: P(defective item) = p  P(check at least 7 items to get two defective) = ?

Q: o Find a constant C such that p is a probability density function on the given interval and compute…

A: p(x)=c/(x+4)3.   x (0, ∞) We have to find Value of C and probability P(0≤X≤1)

Q: Given that X is a random variable having a Poisson(X) distribution, compute the following: (a) P(X =…

A: We know that, The probability mass function is,  P(X=x) = (e-λ×λx)/x!  Where,  λ &gt; 0  x = 0, 1,…

Q: Problem #5: A 2-digit code is obtained as follows. The first digit is a random integer from 0 to 5…

A: A 2-digit code is obtained as follows. The first digit is a random integer from 0 to 5 (inclusive)…

Q: If z is a standard normal random variable, find the probability. The probability that z lies above…

A: Answer: From the given data, Z is a standard normal variable  For a standard normal variable, mean…

Q: Rework problem 7 from section 3.1 of your text, involving events E, F, and G in a sample space S.…

A: The given probabilities are PrE=0.55,PrF=0.5,PrG=0.55,PrE∪F=0.8,PrE∪G=0.75,PrF∪G=0.8.