Q1) c- The probability of twice withdraw the same ball from a box contains 25 balls, 5 balls are white, 7 balls are blue and 9 :balls are black is 0.0015 O 0.0051 O 0.0016 0.0061 O none of all above

Q: 1. A company decides to investigate the amount of sick sample of eight employees yields the…

A: As per bartleby policy I answered the first question

Q: A) If the average number of rodents in a cotton farm with an area of 20 acres is 2 per acres,…

A: As per guideline I have calculated 1st main question  Here given,  If the average number of rodents…

Q: A particle is moving on the unit circle x² + y² = 1 at the constant angular speed > 0, starting at…

A:

Q: 1. When choosing one skittle, are the events "selecting a red skittle" and "selecting a blue…

A: HERE as per GUIDELINES I HAVE CALCULATED 3 SUBPARTS here given ,  there are total 15 +16 +12 + 14 +5…

Q: Suppose 5 men out of 100 men and 10 women out of 250 women are colour blind, then find the total…

A: Here Given  No of Men =100.  No of color Blind man =5 No of Women =250 No of color Blind women = 10

Q: A discrete random variable, y, has a probability distribution y: 6, 7, 8,9, 10,11 nd P :0.13,0.26…

A: Given See the below excel output

Q: 5A+2B. The variance of T is 6

A: The random variables A and B have variances 0.2 and 0.5 respectively. Let T= 5A+2B.

Q: Q6/ Find the probabilities that a random variable having the standard normal distribution will take…

A: Givena)between 0.87 and 1.28

Q: A random variable, z, has p.d.f. f(z) = e ², 0 =< z < 1. Calculate the expected value of z. a. 1 b.…

A: From the provided information, The pdf of z is f (z) = e-z, 0 ≤ z &lt;1

Q: Using a well shuffled 52 deck of cards: What is the probability of drawing (in this specific order)…

A: From the provided information, Total cards = 52 Total King = 4 Total Queen = 4

Q: Vehicles pass through a junction on a busy road at an average rate of 60 per hour.  a) Find the…

A: Solution-: Given: Average =λ=60 per hour We want to find, (a) P(none passes in a given 30-minute…

Q: A continous random variable x has p.d.f.,then a. f(x)>=1 b. f(x)>==0 C. d. f(x) >:0 0=<lt; f(x)=<1

A: It is given that f(x) is a probability density function (pdf) of a random variable X.

Q: In a box containing 8 red balls, 8 green balls and 8 blue balls where 3 balls will be drawn in…

A:

Q: 4. In one of the biggest schools in Metro Manila, 80% of their high school students are known to…

A: Given Information: 80% of the high school students are known to have come from their elementary…

Q: andom variable has probability stribution: x= 0,1, 2 ,3 ,4, 5,6,7 and P…

A: We know that the  By total probability law, sum of all the probabilities of a random variable is…

Q: Find the standard error of the estimate and the coefficient of determination for the least-squares…

A: The following information has been provided: x y -3 2 1 8 5 14 7 20 9 23 The least…

Q: (a) If the absolute measurement error within 0.5 millimeters is acceptable, what is the probability…

A: here given ,  A test instrument needs to be calibrated periodically to prevent measurement errors.…

Q: 6. (简答题, 9.0分) f(x)= Suppose that the random variable X has the following density function (1) Find…

A:

Q: In a lot of 50 light bulbs, there are 2 bad bulbs. An inspector examines 5 bulbs, which are selected…

A:

Q: particle is moving on the unit circle x² + y² = 1 at the constant angular ing at the initial…

A:

Q: Find the entropy of the source producing the following messages: Px1 = 0.25, Px2 = 0.1, Px3 = 0.15,…

A: Decision tree used entropy for different sample size. It used to compute the similarity between the…

Q: Records indicate that, in Australia, 65% of secondary students participate in sport, and 71% of…

A: The following information has been given: Let A denotes the secondary students  who participate in…

Q: 6 27 30 33 36 interdictele sal Probability and Odds of Adjusting the Radio While Driving in Three…

A:

Q: Suppose 5 men out of 100 men and 10 women out of 250 women are colour blind, then find the total…

A:

Q: Q3/ The probability that a consumer will rate a new antipollution device for cars What are the…

A:

Q: The means of 6, 6, 6, 6, 6, 6 is 6?

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY  here mean  = ∑xn

Q: (a) Determine the mean = (b) Determine the Standard Deviation (c) Determine the Coefficiet of…

A: here given , A concerned parents group determined the number of commercials shows in each of the…

Q: 3. There are 64 children in year 4. a) 8 are off sick. What fraction of children is left? b) 48 stay…

A: Given : There are 64 children in year 4.

Q: 1. What are normal distributions, and why are they sometimes referred to as bell curves?

A: Question : What are normal distributions, and why are they sometimes referred to as bell curves?

Q: 1. At the horse races, the chances of a horse winning is expressed as odds against. In the first…

A: Dear student according to the guidelines we solve only first question when multiple unrelated…

Q: If E denotes the expectation the variance of a random variable X is denoted as

A: Here use mean and Variance of random variable X

Q: Suppose X has a normal distribtution N(2,1), then E(X)= Var(X)=

A: Let  X has a normal distribution X~N(µ=2, σ2=1)Then the value of Mean =E(X)=µ=2Variance=Var(X)=σ2=1…

Q: If (xoy). X 2 4 · 10.10 3 0.15 0.20 0.30 5 0·10 0·15 d. Determine the cumulative distribution…

A: Given data is  f(x,y) x 2 4 Total y 1 0.10 0.15 0.25 3 0.20 0.30 0.50 5 0.10 0.15 0.25…

Q: I want it through probability and random variables with maximum speed Q4: A- If the average number…

A: poisson distribution is given by

Q: Ownership Age PE NoCat 13 Yes Cat 14 Yes NoCat 14 Yes Cat 19 Yes Cat 16 Yes Cat…

A: Note: As per guidelines we will only answer the first three subparts, please repost other subparts…

Q: Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated…

A: Solution

Q: (i) (ii) (iii) Find P(Q). Find P(R). Are events Q and R exclusive? Justify your answer.

A: HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS OF QUESTION  two 12 sided dice are  thrown ,…

Q: Q6/ Find the probabilities that a random variable having the standard normal distribution will take…

A: Required probability is P(0.87&lt;Z&lt;1.28)

Q: 20.21. Suppose that the sequence (X) is fundamental in probability in the sense that for e positive…

A: Given: PXm-Xn&gt;∈&lt;∈ for m,n &gt;Ne

Q: 4. In one of the biggest schools in Metro Manila, 80% of their high school students are known to…

A: Given: n= 15 Probability of success , P = 0.80 q = 1-p = 0.20 Formula used: P(Y= r) = nyPrqn-r Where…

Q: The probability that there will be at most 2 men with high blood pressure is २ P(X < 2) = ≥ P(X=X) :…

A: 5.The provided information is n=6p=0.15P(X=x)=(Cxn)*px*(1-p)n-x…

Q: (1) (11) Show all the possible outcomes with a tree diagram. Find the probability that two heads and…

A: Here given three coins are Thown And take head = H tail = T  P(H) = 1/3 P(T) = 2/ 3

Q: Calculate the means and standard deviations of:37, 26, 19, 21, 19, 25, 17 3: 7.141 O a. b. 3; 2.414…

A: From the provided information, Number of observations (n) = 7

Q: Use the calculator displays to the right to make a decision to reject or fail to reject the null…

A: From the provided information, Sample size (n) = 45 Sample mean (x̄) = 59.25 Population standard…

Q: A box contains 5 green pencils and 7 yellow pencils. Two pencils are chosen at random from the box…

A: The total number of pencils =5+7=12 Let event A: The first pencil chosen yellow.P(A)=C17C112=712Let…

Q: a random variable has probability distribution: x= 0,1,2,3,4,5,6,7…

A: Given information: x 0 1 2 3 4 5 6 7 P(x) 0 k 2k 2k 3k k^2 2k^2 7k(k+1) Total probability…

Q: 15. About 64% of the applicants pass the admission test every year. Approximately how many of the…

A: Formula E(X) = np

Q: Q6/ Find the probabilities that a random variable having the standard normal distribution will take…

A:

Q: A and B are two events such that P(A) = = 0.4 and P(AB) = 0.2 Then P(An B) is equal to a. 0.4 b. 0.6…

A: Given : P(A) = 0.4 and P(A n B) = 0.2

Q: The probability that a component is faulty is 0.04. Two components are picked at random. Calculate…

A: Binomial distribution is given by