state s probability P(s) realization X(s) realization Y(s) 1 .1 10 20 2 .2 20 30 3 .2 10 10 4 .3 10 30 5 .1 20 10 6 .1 30 20   What is Var(1/3X + 1/2Y)? a) 16 b) 20 c) 24

Q: 66 2. Probability Spaces 14. If F is a distribution function, then F has at most countably many…

A:

Q: Translating the following statements using probability notation. Use X as the random variable. The…

A: The objective of the question is to translate the given statements into probability notation using X…

Q: e with P(F) #0 and P(X) # 0. Explain why P(X\F)P(F) = ional probability, and then use %3D of stating…

A: Given:-          1.  a)    By definition of conditional probability,

Q: Which of the following values cannot be probabilities? 0.06,-0.56, √2, 1, 1.54, 0, 5/3, 3/5 Select…

A: We know that the probabilities always falls between 0 and 1 Not negative

Q: Find the P vlaue of the following example There are 150 paired values, (Xi,Yi), where Xi is a…

A:

Q: C. between 10 and 12 users, inclusive, of the 15 smartphone users do not upgrade their cell phones…

A: The given information is that, 57% of U.S. smartphone users upgrade their cell phone every two…

Q: What is the probability a randomly selected x-value will be  at most 3? What is the probability a…

A:

Q: If you toss a pair of die, the sum 7 of the numbers appearing on the upper faces of the dice can…

A: When two dice thrown, then 62 will be sample space

Q: The plot to the right shows the probability function of a random variable Z. Estimate the needed…

A: For the given plot Find P ( z >=3 or z =-1 ) = ? P ( z >=3 ) +P(  z =-1 ) = P( z = 3 ) + P( Z…

Q: 3. Let X be N x₂ = -4. (-)-( 1 -3 1 3 2 '1 1 1 2 2, find the conditional distribution of x3 given X₁…

A:

Q: The probability of a "False Negative" is... A. None of the above B. pr (T | D*) OC Pr (T* | D*) O…

A:

Q: Suppose that 20% of all voters prefer Candidate A. If 4 people are chosen at random for a poll, what…

A: Given: 20% of all voters prefer candidate A that is p = 0.20 Sample size (n) = 4

Q: Suppose that P(A) = 0.5, P(B) = 0.3, and P(B |A) = 0.2. Suppose that P(A) = 0.4. Explain why P(A…

A: Given that Suppose that P(A) = 0.5, P(B) = 0.3, and P(B |A) = 0.2. Suppose that P(A) = 0.4.  We have…

Q: Pn Suppose 6n fair dice are rolled. Define a probability space that describes this exper- iment. Let…

A: Defining the Probability Space:We have 6n fair diceEach die can show a number from 1 to 6.The sample…

Q: 15

A: (a)Mean calculated by the formula :mean=∑xi​P(xi​)Mean =1.2 b)Find the probability that x exceeds…

Q: Q3. (a) The following are the score made by two batsman A and B in a series of innings A 12,15, 6…

A: Data represents the score made by batsman A and B in a series of innings.  For Batsman A :  x…

Q: A series of data consists of four characters A, B, C, and D with probabilities 0.4,0.3,0.2 and 0.1…

A: Redundency = (1-p(a))(1-p(b))(1-p(c))(1-p(d)) R=(0.6)(0.7)(0.8)(0.9) R=0.3024

Q: Q1-2: Answer either [0] (true) or [X] (false) and explain. frequency ...... 2 3 4 5 6 7 8 9 10 11 12…

A: First we calculate the theoretical (population) mean. Mona rolled two six sided dice then presented…

Q: Translate the following statements using probability notation. Use X as the random variable. The…

A: Translate the statements using probability notation.

Q: Class Interval 0-9 10 - 19 20 - 29 30-39 40 - 49 6 4 8 5 7 n = Mi f¡Mi

A: We have given that,  Class interval  fi Mi fi*Mi 0-9 6     10-19 4     20-29 8     30-39…

Q: Assume that a procedure yields a binomial distribution with n=4 trials and a probability of success…

A: Given n=4 P=0.30

Q: Activity I. The following data show the probabilities for the number of inquiries received per day…

A:

Q: Which of the following events occur with a probability of zero? C. A Product that is neither foreign…

A: Here the given statement is    A Product that is neither foreign nor domestic. We have to identify…

Q: Answer the following questions about the relationships between pairs of variables and the values of…

A: (1). The correlation coefficient of figure 2 is closest to zero.  (2). The correlation coefficient…

Q: Q5. Find the conditional probability Pr(B|A) Prob. Venn Diagram Incomplete Carroll diagram A 0.3 0.1…

A:

Q: Assume a member is selected at random from the population represented by the graph. Find the…

A:

Q: 4.64 Conditional probabilities. Suppose that P(A) 5 0.5, P(B) 5 0.3, and P(B u A) 5 0.2. (a) Find…

A: Given: P (A) = 0.5 P (B) = 0.3 P (B|A) = 0.2

Q: 5) Use the following table to answer the probability questions Waiting time Number of customers 0-3…

A:

Q: 1. Find the following probabilities (a) P(x 2) when n8.p-0.3, (b) P(x 9) when n (c) P(x 0) when n…

A: hereX~Binomial distributionPX=x=nCxPx 1-Pn-x

Q: D. at least 1 user out of the 15 smartphone users do not upgrade their cell phones every two years.…

A: The given information is that, 57% of U.S. smartphone users upgrade their cell phone every two…

Q: The numberof new cllents that a computer consulting firm obtalned each month has ranged from 0 to 6.…

A: Given data, Number of new clients 0 1 2 3 4 5 6 Probability 0.05 0.1 0.05 0.1 0.25 0.2 0.25

Q: 3.3-2. If Z is N(0, 1), find (a) P(0 ≤ Z≤ 0.78). (c) P(-2.31 ≤ Z-0.65). (e) P(Z 2). (b) P(-2.46 ≤ Z…

A: Absolut values inequalities :  1) If |a|<b  then  -a < b < a 2) if |a|>b   then…

Q: A: 50 Students in the 1st class , 15 of them failed in mathematics, 10 of them failed in mechanics…

A: According to our guidelines we can answer only three subparts and rest can be repost.

Q: None

A: a)(P(Z>1.85))To find (P(Z>1.85)  , we need to look up the value of ( Z = 1.85 ) in the…

Q: From past data we know that the mean number of arrivals to buy tickets at the Family Fun Center in…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: (a) Find the probability that a randomly selected student did not hold a job in the past year. (b)…

A:

Q: The probability that a smoke alarm will function properly and sound an alarm in the presence of…

A: Introduction: Two smoke alarms operate independently of each other.

Q: S=(0,1,2,3,4,5,6,7,8,9) A=(0,1,3,7,8) B=(0,2,3,5,6,7 C=(3,4,7,8). Give the following probabilities…

A: We have given information, S=0, 1, 2, 3, 4, 5, 6, 7, 8, 9 A=0,1, 3, 7, 8 B=0, 2, 3, 5, 6, 7 C=3, 4,…

Q: Refer to the accompanying table, which describes results from groups of 8 births from 8 different…

A: Given number of girls and probabilities; Number of Girls(x) P(x) x.P(x) x2P(x) 0 0.006 0 0 1…