QUARTER 4 4th PERFORMANCE TASK IN MATH 8 Using a TREE DIAGRAM, show a possible outcome when two dice are rolled.

Q: Much of Trail Ridge Road in Rocky Mountain National Park is over 12,000 feet high. Although it is a…

A: Given that sustained gale-force winds occurs on the average of once every 65 at a trial Ridge Road…

Q: A bag of balls contains 7 black balls and 5 white balls. We randomly draw 5 balls, so what is the…

A: Number of white balls =5 Number of black balls=7 Total number of balls=5+7…

Q: ory 31 A test was given to a group of students. The grades and gender are summarized below A B C…

A: A B C Total Male 10 15 9 34 Female 12 14 3 29 Total 22 29 12 63

Q: I Q3) Find the complement of each event: a) Rolling a six-sided die and getting a number smaller…

A: Event includes all the possible outcome of an experiment. Complement of event is the observation…

Q: In how many ways can we arrange seven letters of the word SWITZERLAND that starts with letter S and…

A:

Q: Question 2 x 1 | | | | (a) PX = 2) (b) PX > −2) (c) P(−1 < X <1) (d) PX < -1 or _X = 2) 2

A: Given data is x -2 -1 0 1 2 f(x) 1/8 2/8 2/8 2/8 1/8

Q: Use the values on the number line to find the sampling error. 4 The sampling error is x=4.5 4.6 4.8…

A: Given: x¯ = 4.5 μ = 5.22

Q: Find the z-scores for which 86% of the distribution's area lies between -z and z. Click to view page…

A: It is given that the 86% or 0.86 area lies between two z-scores.

Q: For the statement below, write the claim as a mathematical statement. State the null and alternative…

A: GivenThe standard deviation of the base price of a certain type of all-terrainvehicle is atleast…

Q: Example: the joint density for the random variables (X,Y), where X is the unit temperature change…

A: Solution:

Q: As a data analyst, I received requests at a rate of 1 every 25 minutes, exponentially distributed.…

A: Solution

Q: upon payment is receive

A: Par Value of Bond is $1000 Coupon rate is 7.5% Yield is 5% Time to maturity is 5 years Bond is sold…

Q: A magician draws 13 cards from a deck. Determine the chance that he gets two five ♥, three, and…

A: Obtain the probability that he draws 2 diamonds, five hearts, 3 spades and 3 clubs. The probability…

Q: Consider events A and B that are independent. Let P(A) = 0.2 and P(B) = 0.3. What is the probability…

A: Given data P(A) = 0.2 P(B) = 0.3 P(both event occurs) =?

Q: 4- If X is an exponential with parameter 1, then 2X is chi-square with 2 degrees of freedom. O True…

A:

Q: The marks of students in mathematics are normally distributed with a mean of 85 in a university. In…

A: Given data is Mean(μ)=85sample size(n)=36P(x1&gt;88)=0.0013

Q: 7. Suppose the odds of Barcelona winning La Liga are 11:12 and the odds of Real Madrid winning are…

A: 7. Here, odds of Barcelona winning La Ligais                = 11:12 We have to find probability that…

Q: Find the probability of 3 coins showing all heads when tossed simultaneously.

A:

Q: Which of the following is a false statement?

A: Dependent events are those , first events probability affect the probability of other event in…

Q: According to CBS Money Watch, the average monthl phone bill is $100. Suppose monthly household cell…

A: It is given that the mean is 100 and the standard deviation is 11.35.

Q: A nutritionist claims that the mean tuna consumption by a person is 3.2 pounds per year. A sample of…

A: Given: A nutritionist claims that the mean tuna consumption by a person is 3.2 pounds per year. A…

Q: A newspaper sports reporter has a 58% accuracy for predicting the winners in NHL hockey games. A…

A:

Q: Show that X If X₁, XX that 4 out 10

A: Let X be the continuous random variable. Assume X~F(α,λ).

Q: Suppose that there is a 1.7% chance a planet will develop life, a 2.8% chance that the life will…

A:

Q: A study on the correlation between sleep quality and academic performance of SHS students is done by…

A:

Q: probability that the member selected at random i from the shaded area of the graph is (Round to four…

A: Given that.   X~N( μ , ?^2 )   μ=20.5   , ?=5.3   Z-score =( x - μ )/?

Q: X 1 2 expecta ctation fo P(x) 0.23 0.41 0.19 0.17 3 4 OA) 1.0 O this probability distribution?

A: x P(X) X*P(X) 1 0.23 0.23 2 0.41 0.82 3 0.19 0.57 4 0.17 0.68

Q: On a multiple choice quiz, there are eight questions. Each question has four choices (A, B, C or D).…

A: GivenSample size(n)=8p=14=0.25                          (one correct choice in four…

Q: The following is a collection of grades of students in Survey Sampling. You want to estimate the…

A: Data   76   74   73   72   88   82   69   88   87   78   91   72   73…

Q: The monthly utility bills in a city are normally distributed, with mean of $100 and a standard…

A: Given,Mean(μ)=$100standard deviation(σ)=$12

Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters codes can be…

A:

Q: Find the distribution function for f(x). (0.5 1 1<x<2 ƒ(x) = { ½ x x 2<x<3 0 elsewhere

A:

Q: What is the probability of getting the number 5 when a fair die is thrown? C. 1/2 A. 0 B. 1/6 D. 1 .…

A: AS PER COMPANY GUIDELINE I SOLVED ONLY 1ST QUESTION THANK YOU.   Ans ; what is the probability of…

Q: The number of air safety inspectors for selected years is shown in the table. Year 1996 1997 1998…

A: a) x y x2 y2 x⋅y 1996 3349 3984016 11215801 6684604 1997 3155 3988009 9954025 6300535 1998…

Q: According to CBS Money Watch, the average monthly household cellu phone bill is $100. Suppose…

A: It is given that the mean is 100 and the standard deviation is 11.35.

Q: Match each P-value with the graph that displays its area without performing any calculations.…

A: Solution Given That, Match each P-value with the graph that displays its area without performing any…

Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters codes can be…

A: Given :- letters  {A, B, C, D, E, F, G}  We have to find :- how many  (a) 3-distinct-letters codes…

Q: Does 10K running time decrease when the runner listens to music? Nine runners were timed as they ran…

A:

Q: From a group of 50 students at a university (10 students per year) a coordinating committee of 4…

A: Answer : - Given,   a group of 50 students at a university (10 students per year).…

Q: Assume that the random variable X is normally distributed, with mean μ = 60 and standard deviation…

A:

Q: 69% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults.…

A: Given that  Number of trials n=10 Success of probability p=0.69 X~binomial(n , p)

Q: Find the critical value z necessary to form a confidence interval at the level of confidence shown…

A: GivenConfidnece level(c)=0.96

Q: Use the given statement to represent a claim. Write its complement and state which is Ho and which…

A: Given ,Claim: P&lt;0.69

Q: xample the joint density for the random variabes where X is the unit temperature change and is the…

A:

Q: (a) Identify Ho and H₂. Choose the correct answer below. Ο Α. Ηο: μ = 40 H₂:μ#40 OC. Ho: μ240.6 Ha:…

A: Given that  Sample size n =30 Sample mean =40.6 Population standard deviation =7.7

Q: ven below. X₁, X2, Xn (1)

A: Given: f(x)=(θ+1)xθ,0&lt;x&lt;10, otherwise

Q: If X and Y are random variables having the joint density function f(x,y) = (6-x-y), 0<x<2, 2<y<4.…

A: Here Given joint pdf of two random variable x and y f(x,y) = 186-x-y , 0&lt;x&lt;2, 2&lt;y&lt;4

Q: The gas mileages (in miles per gallon) for 26 cars are shown in the frequency distribution.…

A:

Q: About 5% of hourly paid workers in a region earn the prevailing minimum wage or less. A grocery…

A:

Q: The random variables X and Y describe the outcome of two independent tosses with a dice. Let Z=X+Y…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts [probability…