Hom K Suppose that 7 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 7 are diamonds? The probability is (Round to six decimal places as needed.)

Q: A road is likely to be flooded such that not more than one flood occurs during a year. The level of…

A: given data   p( at least one flood in 10 year ) = 0.15

Q: 2. Write out the power set of the following set: {1, 2, 3, 4).

A: Solution(2)- Write out the power set of the following set say S={1,2,3,4}

Q: A software organisation employs 80,000 staff members. 16,000 employees are in the sales team, 24,000…

A: Given that a software company has 80,000 staff member. Out of which 16,000 are in sales team, 24,000…

Q: XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 4. Mathematics tests produce scores that are approximately…

A: It is given that  Mean, μ = 480 Standard deviation, σ = 100

Q: (1) What is the probability that the driver meets with an accidents? (ii) What is probability the…

A: Let us define some events A : The person is truck driver. B : the person is motorbike driver. C :…

Q: 8. Suppose that colored balls are distributed in three indistinguishable boxes as follows: RED WHITE…

A: Given that    Box 1 Box 2 Box 3 Total Red 2 4 3 9 White  3 1 4 8 Blue  5 3 3 11 Total 10…

Q: 3) At a tollbooth for a bridge, 12 percent of all vehicles that pass state license plates. a) The…

A: given that, at a toll booth for a bridge, 12 percent of all vehicles that pass through the toll…

Q: 1. mpg: Miles/(US) gallon 2. cyl: Number of cylinders 3. disp: Displacement (cu.in.) 4. hp: Gross…

A: As per the guidelines, we will solve first three subparts for you. In order to get the answers for…

Q: A random variable has the following distribution find μ. A X P(X) B 3.2 2 4.1 1.85 0 0.1 1 0.3 2 0.4…

A:

Q: A trucking firm has the following probability distribution for severity due to trucking accidents.…

A: The probability distribution for severity due to trucking accidents is given.

Q: Page 142, 2.6.2.* Let f(x1,x2,X3)=exp[-(x1 + x2 + x3)], 0 < x₁ <∞, 0 < x₂ < ∞, 0 < x3 <∞, = zero…

A:

Q: X = r cos(27/8) and Y=rsin(27/8), a discrete uniform random variable on the set {0, 1, 2, ..., 7}.…

A:

Q: 3.29 An important factor in solid missile fuel is the particle size distribution. Significant…

A:

Q: The sofas I’m shopping for have prices that are well approximated by a normal distribution with mean…

A: Introduction: Denote X as the price of a randomly selected sofa. It is given that X has an…

Q: There are 8 runners. In how many ways can it be finished if Mark finished before Claire

A: A permutation is an arrangement of objects or things. For example, let us assume there are three…

Q: Let P(A U B) = .8, and P(A) = .6. Find P(B) assuming A and B are independent! Then determine whether…

A: Given that  P(A U B) = 0.8 , P(Ac) = 0.6

Q: Spacers are typically used in groups of four and tolerances require the total length of the 4…

A:

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A: Here,mean is 36 and standard deviation is 10. Sample is 16, we will use z-standard normal…

Q: Suppose that E and F are two events and that P(E and F) = 0.1 and P(E)= 0.4. What is P(FIE)?

A: Solution-: Given: P(E and F)=0.1, P(E)=0.4 We want to find P(F|E)=?

Q: The pdf for X is shown below. 1 f(x) = 14 -7 ≤x≤7 0 otherwise Since -7 <k <k + 4 < 7, the definition…

A: In question, We have given the pdf of X is f(x). Then We'll find the P(k &lt; X &lt; k+4) = ? The…

Q: Some colleges now aw students to pay their tution using a credit card. A report includes data from a…

A: Solution: The claim of the hypothesis is  Claim: The proportion of in each of the two credit cards…

Q: 13. On average, there are of a month. (a) What is the probability that there will be no bicycle…

A: Given: On average, there are two bicycle thefts every ten square miles during the course of a month.…

Q: he relationship between amount of time spent studying for an exam (X) in hours and the score that…

A: Given: The data set is as below x y 2 65 3 70 3 75 4 70 5 85 6 85 7 90 Assumed…

Q: Do the data provide convincing evidence that the mean time to exhaustion for experienced triathletes…

A: For the given data Perform  Paired t test

Q: If the NGO's interest is to determine whether there are differences in the amount of plastic trash…

A: a) Histograms: R syntax:

Q: Suppose Q and R are independent events. P(Q) = 0.25 and P(Q and R) = 0.1. Find P(R):

A: Given that  Q and R are independent events. P(Q) = 0.25 and P(Q and R) = 0.1

Q: Anya gathered a random sample of chips from a popular company. She calculated data on different…

A: From the given information we find the solution.

Q: In a standard normal curve, if P(z> n) = 98.81%, what is the value of n? A B - 2.26 2.26 1.22 - 1.22

A: Given P(z&gt;n) = 98.81%

Q: If I roll two fair six-sided dice, what is the probability that the sum is not 5?

A: It is given that two fair six-sided dice are rolled.

Q: An article reported the following frequencies with which ethnic characters appeared in recorded…

A: The categorical variable is Ethnicity. It contains 4 categories which are African American, Asian,…

Q: 6. Suppose you draw two cards from a standard deck of cards. a. If you replace the first card, what…

A: select two cards at random from standard deck of 52 cards.

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A: Given information- Population Mean µ = 36 Standard deviation (σ) = 10 Let X be the percent of fat…

Q: he number of sick days taken (per month) by 200 factory workers is summarized below. Number of Days…

A:

Q: Use the contingency table to determine the following probabilities. a. P(A) b. P(B) c. P(C) d. P(D)…

A: From the above contingency table, we can calculate probability for every event.  Here grand total is…

Q: Problem #2: 13 students from each of Engineering, Science, Humanities, and Social Science were…

A: Given Information: Number of students nominated from Engineering = 13 Number of students nominated…

Q: A candy company developed a new consumer product that is expected to earn $1,000 in profit each year…

A: We have given the following data Expected profit when demand is Low =$1000Expected profit when…

Q: A weighted coin has a 0.486 probability of landing on heads and a 0.514 probability of landing on…

A: Suppose a random variable X, defines that the number of times head occurs.

Q: According to a study conducted by a university, children who are injured three or more times tend to…

A: Given that λ =3 Using Poisson distribution

Q: a. A teacher creating a quiz has to decide how to order the problems—if there are ten problems, how…

A: if order matters :  permutation          nrP = n!(n-r)!if order not matters : combination       nrC…

Q: Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an…

A:

Q: Suppose that there are 22 crayons in a box: 6 green crayons, 8 blue crayons, and 8 red crayons. Once…

A: 6 - green 8 - blue 8 - red ______________ 22 - total   select one and then not replace that card

Q: Can I know the answer and the process

A:

Q: 2) A new quality assurance process developed in Limpopo by Mr Masela for a newly introduced Sephaku…

A: Given that  Mean = 5000 , Standard deviation = 120 , Sample Size = 50

Q: 18. Let f denote the number of ways of tossing a coin n times such that successive heads never…

A:

Q: If the NGO's interest is to determine whether there are differences in the amount of plastic trash…

A: b. QQ plot for location 1: R syntax: From the above plot, it is clear that all the points are…

Q: 4. Two independent random variables X1 and x2 are both uniformly distributed between 9 and 11. Find…

A:

Q: 2. Let the following lotteries: L has prizes (0, 2, 4, 6) with equal probabilities. L' has prizes…

A: Given that, Two lotteries are: L and L'. L has prizes 0,2,4,6. The prizes have equal probabilities.…

Q: Consider the following scenario: Let P(C) = 0.4, P(D) = 0.5, and P(C|D) = 0.6. Find P(C and D). Are…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: In response to concerns about nutritional contents of fast foods, McDonald's has announced that it…

A: