Ray is spinning a four colored spinner (red, yellow, green and blue). He is also rolling a six sided die. What is the probability of spinning red and landing on an even number?

Q: Problem 3.7. die (i.e., an octahedron) Let the random variable X denote the result of rolling a fair…

A: Introduction The 60th percentile of a distribution is a value that separates the data into two…

Q: A fair 4-sided die is tossed. What is the probability that any number except 1 or 3 or 4 is tossed?

A: roll fair four sided dice.  total possible outcome : {1,2,3,4} P(event) = No. of favorable…

Q: Let Yt15 and let X = 2Y+6. Find x such that: a) P(X > x) = .001 b) P(X> x) = .01 c) Find E[X],…

A: Given that, Y follows the t distribution with 15 degrees of freedom. X=2Y+6 The expected value of…

Q: (b) Construct and sketch the cumulative distribution function.

A: Given Information: A random variable X indicates the thickness of the paint in millimeters at…

Q: A fair coin is flipped three times. Let X be the number of heads that appear. What is the expected…

A: The expected value of X, denoted E(X), can be calculated as the sum of the product of each possible…

Q: (b) Construct and sketch the cumulative distribution function.

A: Solution:

Q: 68. a. For what value of c is the quantity Σ(x, - c)² mini- mized? [Hint: Take the derivative with…

A: The sample mean is denoted by the x and population mean is denoted by μ The sample mean is…

Q: The three-day forecast and the number of days of rain is a probability distribution and is presented…

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Q: (e) If someone flips switches on the selection in a completely random fashion, what is the…

A: From Part (a), the number of ways of one component of each type to be selected is 144 ways.

Q: 2.3-9. A warranty is written on a product worth $10,000 so that the buyer is given $8000 if it fails…

A: Answer:- Given , A warranty is written on a product worth $10,000 so that the buyer is given  $8000…

Q: ow to achieve solutions: In a manufacturing process, 0.2% of the brake pads that come off the…

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Q: Two cards are selected from a standard deck with replacement. Find the probability that they are…

A: Given that Total cards=52 Number of hearts cards=13 p=Number of hearts cards/Total cards…

Q: # 5. The transition matrix for a three-state Markov chain with S = {1,2,3} is P = 0 0 0 0 1 0.5 0.5…

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Q: Every student in an international school takes at least one of three foreign language classes.…

A: Given Information: 29 students take French. 40 students take German. 31 students take Chinese. 18…

Q: (d) Let X be a random variable with PMF Px(x) = and P[X>0|X #0]. (o 1/6 = -1, +1 2/3 x=0 y <1…

A: Given that D) Pmf of X is x -1 0 1 P(X=x) 1/6 2/3 1/3 Note: According to bartelby question…

Q: The Two-Way table below represents people who used an at-home Pregnancy test and their results. Use…

A: We have given,   Positive Test Negative Test Subject is Pregnant  80 5 Subject is not…

Q: (a) If p = 0.9 is her probability of making a free throw, what is the probability of having the…

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Q: Question 3 Given B(10,0.6) for sample size 20.Find the probability for sample mean b. P(X> 6.2)

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Q: Human blood can contain the A antigen, the B antigen, both the A and B antigens, or neither antigen.…

A: The data for the antigen in the blood is given as follows. Number of samples Antigen in blood…

Q: sys 3, and f(x, y) = 0 elsewhere. e of A? = 2, 1 = Y = 2)? rginal probability density functions f(x)…

A: For the continuous random variables the joint probability density function is a function satisfying,…

Q: In how many ways can a group of 9 students be chosen from 12 males and 18 females if the group must…

A: From the provided information, Total males = 12 Total females = 18

Q: Several abnormal shaped dice are rolled.  They are  all labeled starting at 1. The dice are 5 sided,…

A: Given The total number of dice =3 Five-sided dice have numbers on its face =1, 2, 3, 4, 5…

Q: QUESTION 19 Suppose that 49% of ZU students have facebook account. Of those students, 53% have…

A: We have given that P(Facebook account) = 49% = 0.49 P(Twitter account | Facebook account)= 53% =…

Q: If n(A) = 10, n(B) = 11, and n(ANB) = 4, what is n(AUB)? n(AUB) = (Type a whole number.)

A: Given that n(A)=10, n(B)=11, n(A∩B)=4

Q: There are 100 male birds and 300 female birds in birdhouse A and 300 males and 100 females in…

A: It is given that  For birds house A: Male birds = 100 Female birds = 300 For birds house B: Male…

Q: The age at which a given disease occurs in children is normally distributed with a mean of 10 years…

A: From the provided information, Mean (µ) = 10 Standard deviation (σ) = 1.5 X~N (10, 1.5)

Q: part 1 of 3 A junior actuary created a simple discrete model for the amount of child support a pro-…

A: Given Information: S denotes the amount of support. The expected child support payment is ES=$2870…

Q: What is the median of the data set?

A: Answer:- Here the given data in ascending order, 13.3, 13.3, 13.5, 13.5, 13.8, 13.8, 13.8, 13.8,…

Q: If a dealer’s profit, in units of $5000, on a newautomobile can be locked upon as a random variable…

A: Given that  Probability density function pdf is f(x) = 2x(1-x), 0&lt;x&lt;1,

Q: A company has 10 members on its management team, 6 men and 4 women. There is a conference in Hawaii…

A: here given,     6 men + 4 women = 10 members. we need to choose three members.   we need to find…

Q: Tomorrow, Sharon is going to sit for her mathematics test. The test paper consists 10 multiple…

A: There are 4 choices for each question. So, there are 4 ways to answer a question.   Number of ways…

Q: A population of values has a normal distribution with = 118.4 and o= 87.7. You intend to draw a…

A: given data normal distributionμ = 118.4σ = 87.7n = 24

Q: For the PMF Px(x) = X = -2,-1, 0, +1, +2 otherwise. 2 calculate P[|X| ≥ 1].

A: The PMF is given as follows. PX(x)=15                          , x=-2,-1,0,+1,+2=0…

Q: 1 A random Pollowing density function: 3 1/4-2 { O variable x has the f(x): var (x) is - 2 ≤ x ≤ 2…

A: From the provided information, The density function is as follow: fx=14   -2≤x≤20        Otherwise

Q: Question 2 Given Po(3) for a sample size of 20. Find probability for sample mean | b. P (X> 3.2)…

A: Given  X~Pois(3) n=20  P(sample mean X&gt;3.2)=?

Q: a) n (An B), b) n (AUB) nC] c) n (AUBUC) d) How many students did not record a high score in any of…

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Q: The compressive strength (in MPa) for a certain type of concrete has mean 22 and standard deviation…

A: Let the random variable X denotes the compressive strength (in MPa) for a certain type of concrete.…

Q: In a physical experiment, there are 104 elementary particles under consideration. During the…

A: Given information: Let X be a random variable that denotes the number of decays. The sample size is…

Q: 2.2.6A car panel is spray-painted by a machine, and the technicians are particularly interested in…

A: Given information: fx=A0.5-x-0.252, 0.125≤x≤0.5 Here, A=5.507

Q: 30% of students take Physics 101 and 20% take Math146. Of the students who take Physics 101, 25%…

A: Solution: Given information: P( Student takes Physics 101 )= 0.30  P( Student Takes Math 146 )= 0.20…

Q: Example A mobile computer is moving in the region A bounded by the x axis, the line x = 1, and the…

A: The joint distribution is given as follows. f(x,y)=x+cy2         0&lt;x&lt;1, 0&lt;y&lt;1 The…

Q: x,y)=c(x+y) find c for fxy to be a joint PDF. 0<x<3 and 0<y<x

A: Given that  Joint pdf is. fxy(x,y)=c(x+y)  ,0&lt;x&lt;3 and 0&lt;y&lt;x

Q: A company has hired 15 new employees, and must assign 6 to the day shift, 5 to the graveyard shift,…

A: Used formulas :  Probability= favorable/total No. of ways to select (n1,n2,...nr) objects from n…

Q: 1. Z score is 2.5 μ-60 o is 12, find X.

A: Given that Z score=2.5 μ=60 σ=12  We have to find x

Q: Red cab operates 30% of the taxis in a certain city, and orange cab operates 70% of the taxis. After…

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Q: Show that the statement is true by drawing Venn diagrams and shading the regions representing the…

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Q: From a commitee of 12 people, 3 of these people are randomly chose to be president, vice president,…

A: Given: From a committee of 12 people, 3 of these people are randomly chose to be president, vice…

Q: (a) Find the number of plants that were tall and had smooth peas. 11 plants (b) How many plants were…

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Q: what is the blocking variable?

A: Given Information: The researcher tests the impact of two teaching methods on students' achievement…

Q: the two events are Mutually Exclusive Events, are they independent? Give me an example. Thanks.

A: Given that If two events are mutually exclusive then P(A and B)=0 If two events are independent then…