A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that 2 is red and 1 is green?

Q: A four-digit number is to be formed from the digits 0, 1, 2, 3, 5, 7, 8, and 9. How many four-digit ...

A: The digits are 0, 1, 2, 3, 5, 7, 8, and 9.

Q: Consider a tournament between N teams, each team playing each of the other teams. 1) How many games ...

A: Given information: Consider a tournament between N teams, each team playing each of the other teams....

Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random, fin...

A: Farmula used  nCr=n!/(r!(n-r)!)  r!=r(r-1)(r-2)x....x3x2x1   

Q: A continuous random variable X has density function f(x) =- (x-1)' defined on the 4 interval 11.5)

A:

Q: in hours) that teenagers spend playing video games per week. The distribution is approximately Norma...

A: Let X be the  teenagers spend playing video games per week  X~N(mean=14, standard deviation=4)   

Q: 42. Independent random samples are selected from two populations. Below are selected summary statist...

A:

Q: he following table showsthe relationship between your wealth and your utility.

A: Solution:  

Q: Suppose that we have a fuse box containing 20 fuses, of which five are defective. If 3 fuses are sel...

A: Given that  Total fuse=20 Defective fuse=5 3 fuse chosen at random 

Q: Suppose Z follows the standard normal distribution. Calculate the following probabilities using the ...

A:

Q: In how many ways can you schedule your summer tour to visit the major Italian cities of Roma, Milano...

A: Given information: Schedule for summer tour include visiting the major Italian cities of Roma, Milan...

Q: a) Derive the probability for guessing the correct in a ten-item in a true or false type of quiz. b)...

A: Given that n =10 Find a) Derive the probability for guessing the correct in a ten-item in a true or ...

Q: Consider the following hypothesis test. Hoi ws 12 Hai > 12 A sample of 25 provided a sample mean x- ...

A:

Q: retirement. Carry out an appropriate hypothesis test and see whether there is any difference between...

A: Here use two tail test of comparing 2 proportion 

Q: How many numbers of four different digits each greater than 5000 can be formed from the digits 1, 2,...

A: Answer - How many numbers of four different digits each greater than 5000 can be formed from the    ...

Q: The table displays the number and type of tickets bought for a play that was performed in both the a...

A: Let A represents 'a child tickets is bought for a play' and B represents 'the play is performed in t...

Q: 44. A regression analysis yields the line ý = 32 + 0.4x. One of the subjects, Racheal, has x = 60 an...

A: ŷ=32+0.4x   x=60, y=52   

Q: A large engineering company employs a large number of individuals with engineering backgrounds. Of t...

A:

Q: ,what is the probability that at least one head is obtained?

A: here given coin is tossed 4 times n= 4 probability of head =p =0.5 q = 1-p =0.5 here use binomial di...

Q: Y Example 20. Daily sales (recorded in rupees) of a retail shop are given below : Daily sales in Rs....

A:

Q: a. After identifying the 16 different possible samples and finding the mean of each sample, construc...

A: We have given that the assets of four wealthiest people in a country are 39, 33, 29 and 13. The 16 d...

Q: Suppose that the annual rate of return for a common biotechnology stock is normally distributed with...

A:

Q: Before the distribution of certain statistical software every fourth compact disk (CD) is tested for...

A: Given that, Before the distribution of certain statistical software every fourth compact disk (CD) i...

Q: Theorem 2.1.5 If A1, A2 ..., An are n (2 2) events, then P U A; |- £ P(A;} – E P(A;N Aj) + £ P(A¡ N ...

A:

Q: 1. (i) In a certain population, the force of mortality p, at age x is as follov 0.007, 61 <x < 66, 6...

A: Two actuarial function p and q and other functions d and l The first function  Sx(t) = Pr(Tx&gt;t) a...

Q: Abigail needs to create a four-digit password to access her voice mail. She can repeat some of the d...

A:

Q: If a card is drawn randomly from a deck of 52 cards, what is the probability that the card is from t...

A: GivenTotal no.of cards in deck = 52

Q: How large a sample needs to be selected if we wish our population proportion estimate to be within 0...

A:

Q: A normal quantile graph is created by breaking the data into different sections based on the probabi...

A: In statistics, a normal quantile plot has a very important role to play. It is mainly used to make c...

Q: 5. Find the probability that a leap year has 52 Sundays.

A: Given  52 sundays in leap year   

Q: Example 28. The following table gives the weekly expenditure of 100 families. Find the median weekly...

A: Find median   

Q: 3. 1 card is drawn at random from the pack of 52 cards. (i) Find the Probability that it is an Ace, ...

A:

Q: The probability that an evening college student will graduate is 0.4. Determine the probability that...

A:

Q: region represents th Oblaiming a value his distribution that is qreater than 5. 0.4- 0.3+ 0.2+ 0.1+ ...

A: We have given that.   X~N( μ , ?^2 )   μ= 3    , ?=2   Z-score =( x - μ )/?

Q: 2.A10-stop slot machine has one reel. It has the following number of symbols. Every stop has an equa...

A: Given information: Symbols Number Probability  Cherry 2 0.2 Orange 3 0.3 Plum 5 0.5 Sum  ...

Q: In a chi-squared goodness of fit test, the test statistic value was x = 28.44, and the critical valu...

A: Rejection of hypothesis take place when the statistic falls umder rejection region 

Q: Problem 1.5: Assume 100 students in a class took a quiz and a midterm exams. The results were: 65 st...

A: Given that  Number of students =100  Number of students passed the quiz =65 Number of students passe...

Q: Expected values and Binomial distribution 1. A packet of carrot seeds has a germination rate of 92%....

A:

Q: A biotechnology company partially finances 42 ongoing research projects at several North American un...

A:

Q: The graph of a probability distribution is shown below. The graph is made up of two line segments an...

A: Given graph is

Q: I is used to determine the chi-square table value together with the alpha. O chi-square statistic O ...

A: We want to tell the Chi-square table value together with the alpha

Q: TOPIC: CONDITIONAL PROBABILITY 6) A pair of dice is rolled and the sum of the dice is recorded, det...

A:

Q: 8. Theorem 1.7.4 x -le* dx is convergent if and only if n > 0.

A:

Q: COMPUTATION GIVEN THE PROBABILITY DISTRIBUTION OF AN EXPERIMENT, ANSWER THE FOLLOWING QUESTIONS 1 3 ...

A: We have given that  Probability distribution of discrete random variable x. X 1 3 4 5 8 P(x) 0...

Q: In an IT Certification Examination, the mean was 75 and the standard deviation was 5. If Pam z score...

A: Let X be the examination score from normal distribution with mean (μ) = 75, standard deviation (σ) =...

Q: What is the probability of rolling, on a fair dice a number greater than 4?

A:

Q: In the following equation, P(cancer positive test): P(positive test cancer) P(cancer) P( positive te...

A: In this case, it is needed to define the prior probability.

Q: 7. Coupon collecting. Suppose there are N different types of coupons avail- able when buying cereal;...

A: N= No. of different types of coupons available in total We also know that each box contains 1 coupon...

Q: Suppose that the annual rate of return for a common biotechnology stock is normally distributed with...

A:

Q: Compute the probability of randomly drawing five cards and getting exactly two Aces

A: We know that, There are 52 card in the deck in which they divided into two color i.e red(26) and bla...

Q: b. Find P(x 3) (to 4 decimals). d. Find P(r < 5) (to 4 decimals).

A: We have given that the exponential probability density function is, f(x) = (1/4)e-x/4 ,  x ≥ 0   Not...