You have 15 white balls arranged in a triangular arrangement. 7 balls are painted blue and 8 green. Show that no matter how the balls are arranged, after they are painted, there will always be at least two blue balls that are adjacent to each other.

Q: . A shipment of parts contains 120 items of which 10 are defective. wo of these items are randomly c...

A: Given that  Total item=120 Defective item=10 2 item are chosen at random   

Q: (a) Find the values of u and o. (b) The weights of the middle 96.6% of fruit cups are between (300 -...

A: Here use NORMAL distribution basics 

Q: Suppose X is a Normal random variable with with expected value 5 and standard deviation 5. We take a...

A: The random variable X follows normal distribution. We have to find the probability of X less than 4 ...

Q: 1.Find the area to the left of z= - 2.42 2.Find the area to the left of z= 0.97

A: We have given that different z-scores, where Z ~ N(0,1).

Q: (a) Calculate Tom's point estimate. (b) Given that the estimated standard er- ror of (pi + P2)/2 is ...

A: Bob selects independent random samples from two populations and obtains the values bar p₁ = 0.700 an...

Q: 3 groups of 3 people are to be selected from 9 people, of whom 3 are man teachers, 2 lady teachers a...

A:

Q: Suppose a sample of 155 students at a university were asked their grade in statistics. 21 said they ...

A: Given that  Sample size n =155 np=21

Q: MY NOTES ASK YOUR TEACHER Suppose two dice (one red, one green) are rolled. Consider the following e...

A: Given that  Two dice (one red and one green) A: The red dice shows 1 B: the number add to 2 C: at le...

Q: Caleb placed 3 yellow balls and 4 red balls in a row. How many visually distinct rows are possible? ...

A:

Q: Using the data pictured below create a correlative graph that includes mean calculations, variables ...

A: Correlation: Generally, correlation is used to describe the relationship between the two variables. ...

Q: Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective...

A:

Q: Consider each problem below. Determine whether the events are mutually exclusive or not mutually exc...

A: From the provided information, The probability that Carl will score in a two-point shoot is 30%. The...

Q: Problem (2): In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. Wh...

A:

Q: In a čêrtaln opera, the penon orus involving 24 different hames, a challenge for singers trying to r...

A: The performers of the chorus team need to remember 24 Different Names in a song,  The song has 3 dif...

Q: Which counting method should you use to find the compound probability? Explain.   What is the tota...

A: here given, The math club needs to choose four people for a committee to represent it at the school ...

Q: The probability that a student comes from a two-parent home is 0.75 and the probability that a stude...

A:

Q: (a) Describe the correlation (positive/negative/none, strong/weak). (b) Give a plausible reason for ...

A: here use given scatter plot for describing correlation

Q: ABCD | E | F G H 32 128 128

A: Solution-: We have following table: Symbol Probability (P_{0}) A 1/2=0.5000 B 1/4=0.2500 C ...

Q: OY find The Sample space for The experimentof throwing a Pink dice chce and alefine The event Er wit...

A: Solution

Q: 4.14. Three boys and three girls are lined up in a row. (a) What is the probability of all three gir...

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 16.4 inches...

A:

Q: Bob selects independent random samples from wo populations and obtains the values p = .700 and p2 on...

A:

Q: Problem 1: The number of classmates who are K-Pop fans. along with its corresponding probabilities i...

A: Given data is X P(X) X*P(X) X-μ X-μ2 (X-μ)2*P(X) 13 0.25 3.25       14 0.18 2.52       15 0...

Q: Xylem Park hosts many expos to teach the public about plants. Last year's desert plant expo featured...

A:

Q: Assume that the truth statement A is independent of the truth of statement B. If Pr(A) = .3 and Pr(B...

A:

Q: ammunition. Show that there are more armed reds without ammunition than unarmed whites with ammuniti...

A: Let A denotes white, red by α, armed by B, unarmed by ß, with ammunition by C, and without ammunitio...

Q: Solve for the mean, standard deviation and variance. Kindly write clearly so i can understand

A: Formula  Mean=E(X)=∑x*p(x) E(X2)=∑x2*p(x) Variance=E(X2)-(E(X))2

Q: Q2. Joint distribution of continuous random variables Suppose two random variables X and Y have a jo...

A: Given that  Suppose two random variables X and Y have a joint pdf   f(x, y) = ax³y, 0≤x≤1, 0 ≤ y ≤ 1...

Q: 3. Ultrasound can be used to diagnose acute appendicitis in patients fronting with abdominal pain. I...

A: Given information: Ultrasound can be used to identify cases of appendicitis. In a study of the use o...

Q: Suppose you roll a dice n times, and let ai be the number you get in the i-th roll. Defifine m := m...

A: Given: Suppose you roll a dice n times, and let ai be the number you get in the i-th roll. m := max1...

Q: Mendel's Theory According to Mendel's theory, if tall and colorful plants are crossed with short and...

A:

Q: Find the probability mass function of X, then solve for its expected value, variance ,and standard d...

A: here toss a pair of dice so total outcomes = 36 X = maximum of two dice shown here use basic probabi...

Q: The boxplot below shows salaries for Actuaries and CPAS. CPA Actuary 90 100 110 30 40 50 60 70 80 Sa...

A: From given boxplotFor CPAMinimum value = 32Q1=40Q2=Median=70Q3=85Maximum value = 95For Actuary:-Mini...

Q: 1. Given the PMF of C: c = 1,2 Pc(c) = {1 c = 3, 4, 5 O other wise Find the expected value E[C] and ...

A: For the given PMF E( C ) =? S.D (C ) =?

Q: Dunlop, Yonex and Head. In how many ways can you purchase four racquets so that you purchase must in...

A: Here available brand 6,  Here purchase 4 racquet  Use counting principle 

Q: Find the probability using the standard normal distribution. P (- 1.57 < z < 0)

A: GivenP(-1.57&lt;z&lt;0)

Q: Which of the following is not considered probability of two events? A. the probability of an event ...

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Distinguish Exponential Distribution from Normal Distribution

A: We have to distinguish the exponential distribution from the normal distribution.

Q: 5. A tricycle initially has six passengers and stops at different establishments in the city. If eve...

A:

Q: Scenario: Three persons underwent a swab for COVID-19 test. Let X represents the random variable num...

A:

Q: Rock Solid Gym offers several levels of membership status. All customers start at the bronze status....

A: Given that  Sample size (n) = 35 members People with bronze status in sample = 16   Total number of ...

Q: A state senate has120 senators; 75 are democrats and 45 are republicans. Of the Democrats, 45 are li...

A: General formula of probability , Probability = Number of favorable outcomesTotal outcomes   

Q: can we calculate Pr(Q v H) using the Simple Disjunction Rule? Why or why not?

A: here given, drawing a single card from a standard deck. You want to know the Q:  draw the queen of h...

Q: Human pregnancies are normally distributed with a mean of 267 days and a standard deviation of 15 da...

A: The mean is 267 days and the standard deviation is 15 days.

Q: You pick a number between 1,000 and 5,000. Then you flip a coin.   Identify if the two events are ...

A: Given that  It is  an independent event  Explanation:

Q: 5. How is the sampling distribution of the statistic displayed?

A: We have to describe the sampling distribution of chi-square.   

Q: 14. Which of the following show a simple event? A. Getting a sum of 4 in rolling dice. B. Choosing a...

A:

Q: ervice calls come to a maintenance center according to a Poisson process and, on the average, 2.7 ca...

A: Solution-: Given: λ=2.7 calls per minute We find, (a) P(no more than 4 calls come in any minute)=? (...

Q: A couple intends to have children until they get at least one boy and one girl, but they agree that ...

A: A number of events are said to be independent if the probability of occurrence of any one of them is...

Q: Assume that when human resource managers are randomly selected, 48% say job applicants should follow...

A: