A card is drawn from a standard deck of cards. Find the probability that the card is  king or a diamond  a face card  a king given it is a face card  a king given its a diamond

Q: 1. A ball is drawn randomly from a jar that contains 6 red balls, 2 white balls, and 5 yellow balls.…

A: Answer:1- A ball is drawn randomly from a jar that contains 6 red balls, 2 white balls, and 5 yellow…

Q: Olivia is registering for a biology class.  Below is a table of teachers and the periods they teach…

A: There are total number of classes N= 10.   Bridget prefers either Ms. Scarlet or Mr. Green. The…

Q: a) Let 3, 1, 3, 0, 3, 2, 2, 0, 1, 2 be ten independent observations from a binomial experiment of…

A: X~Bin(n=4,β) Sample size=10

Q: A study showed that 67.9% of occupants involved in a tatal car crash wore seat belts. Of those in a…

A: Given: A study showed that 67.9% of occupants involved in a fatal car crash wore seat belts. Of…

Q: A random Variable x takes value X; with Robak Pis with i=1 labelling all possibilities. The N Value…

A:

Q: 55 use microwave ovens; 66 use electric ranges; 56 use gas ranges; 18 use microwave ovens and…

A:

Q: archaeological site 130 sk ound ar heights asured and found to be approximately normal with mean 172…

A: Given:  μ=172  σ2=81

Q: A large portfolio of policies is such that a proportion of p, 0<p<1 incurred claims during the last…

A: Solution: Let X be the number of policies with claim. From the given information, n=25 and p=0.1.

Q: What is the minimum sample size (whole number) for a study of STOP sign compliance with proportion…

A: Given information: p = 0.30 Margin of error=7%=0.07 Confidence level = 0.938 Minimum sample size = ?…

Q: C1. A collector wants to collect football stickers to fill an album. There are n unique stickers to…

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

Q: Normal distribution What is wrong with the following statement? "Because the digits 0, 1, 2..., 9…

A: Solution-: Normal distribution What is wrong with the following statement? "Because the digits 0, 1,…

Q: 3. In how many ways can you pick a 4 digit banking password if: (a) Repetition is not allowed (b)…

A: The number of digits in a password is 4.

Q: Giving a test to a group of students, the grades and gender are summarized below A B C 3 18 5 19 13…

A: A B `C Total Male 3 18 5 26 Female 19 13 8 40 Total 22 31 13 66

Q: In quality control process of 3 items of a company, it has been established that product A…

A: It is given that product A corresponds to 28% of total production, product B corresponds to 35% of…

Q: Suppose that Var(X) = 3, Var(Y ) = 4, and Cov(X,Y ) = 1. (a) Find Cov(2X −Y,X + 3Y ). (b) Find…

A: Solution-: Given: Var(X)=3, Var(Y)=4, Cov(X,Y)=1 We want to find, (a) Cov(2X-Y, X+3Y)=? (b)…

Q: Let X₁, X₂, X3,..., Xn denote a random sample of size ʼn from the population distributed with the…

A: CRLB stands for Cramer Rao Lower Bound.

Q: At an archaeological site 130 skeletons are found and their heights are measured and found to be…

A: Given Information: Mean μ=172 Variance σ2=81 In another site, out of 5 skeletons found, exactly 3…

Q: Willie Keeler has a lifetime batting average of 0.341. Assume that Willie Keeler came to bat…

A: Given P=0.341 n=3

Q: 10. Suppose that the probability of engine malfunction during any one-hour period is p = 0.02. (a)…

A: p = 0.02  q = 1-p = 1-0.02 = 0.98 P(engine will survive 3 hours)=? Mean and standard deviation of x…

Q: C1. A collector wants to collect football stickers to fill an album. There are n unique stickers to…

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

Q: a) The four nucleotides A,T,C,G are shuffled in a random order and put in a row.  How many possible…

A: Given data    (a) A,T,C,G four nucleotides possible orders to put it in row = ?    (b)  six…

Q: 6. Continuous random variable Y, with 8 observations: (Draw the F(Y) function) F(Y) (Cum.…

A: Given,Total no.of observations=8

Q: the cumulative distribution function (odf) of the random vamable x x < 1 is given by f(x) = 0 -3…

A: The density function of X can be obtained by differentiating the F(x) with respect to x.

Q: Lifetime of a certain hardware is a continuous random variable with density for 0 < x < 10 elsewhere…

A: 3. Given density function is, fx=k-x50, 0&lt;x&lt;10 a) K:…

Q: Paper Company There are 15 employees, including Pam, Jim, Michael, and Stanley, at the Scranton…

A: Since there are multiple sub-parts, as per the honor code the first three sub-parts will be solved.…

Q: Now there are ten nucleotides floating around:  A,A,A,A,T,C,C,C,G,G .  At random, one is picked to…

A: Total number of letters is 10. Here, A repeats 4times, G repeats twice, C repeat 3 times.

Q: 1. A certain market has both an express checkout line and a regular checkout line. Let X denote the…

A: As per our guidelines I can solve only first three subparts. Kindly post the remaining subparts…

Q: Compute the probability of drawing a King or a heart from a deck of cards.

A: Given that  Total number of card is 52  4 king and 13 heart.

Q: In a sample of 57 men, 35 said that they had less leisure time today than they had 10 years ago. In…

A: Solution-: Let, p1 - be proportion of men with less leisure time  and p2 - proportion of women with…

Q: Suppose x is a normally distributed random variable with μ = 12 and o=2. Find each of the following…

A: Given,mean(μ)=12standard deviation(σ)=2

Q: pianist plans to play 4 pieces at a recital from her repertoire of 26 pieces. How many different…

A: given data, A pianist plans to play 4 pieces at a recital from her repertoire of 26 pieceswe have to…

Q: I have 10 shirts, 8 pants, and 4 belts. I have to pick 4 shirts, 4 pants, and 2 belts to pack in my…

A: Note: Hi there! Thank you for posting the questions. As there are several independent questions,…

Q: 6. One thousand tickets are sold at $1 each for prizes of $200, $100, $50, and $25 (one of each What…

A:

Q: Milan Is at the grand opening celebration of a supermarket. He spins a wheel with 10 equal-sized…

A: Total slices=10 2 black  4 gray  4white We have to calculate odds .

Q: Suppose that a cruise ship returns to the United States from the Far East. Unknown to anyone 4 of…

A: given data P(rare disease) = 4600 = 1150∴P(not rare disease) = 1-1150 = 149150select 20 people at…

Q: College bound: A national college researcher reported that 68% of students who graduated from high…

A: I solved exactly first three subparts because of bartleby policy. if you want more please upload…

Q: Consider a collection of envelopes consisting of 1 red envelope​, 2 blue envelopes​, 2 green…

A: Given,no.of red envelopes=1no.of blue envelopes=2no.of green envelopes=2no.of yellow…

Q: Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as…

A: Given data A pair of dice is rolled

Q: Two machines turn out all the products in a factory, with the first machine producing 35% of the…

A: event P(machine 1 ) = 0.35 P(machine 2 ) = 0.65 first machine produces 7% defective product second…

Q: Two cards are selected at random from a standard deck of 52 cards without replacement. Are the…

A: Probability is defined as the ratio of number of favorable outcomes to the total number of possible…

Q: A rondom Variable x takes value X; with Probabil Pi with i=1 labelling all possibilities. The m N

A:

Q: 5.) How many different 4-letter radio station call letters are possible if: (a) The first letter…

A: It is given that  4-letter radio station call letters.

Q: (a) What is the probability that 0, 1, 2, and 3 access lines will be in use? (Round your answers to…

A: By bartlby policy i can gives only 3 subparts at a time From given data we have : Arrival rate for…

Q: Vanessa, a research director, is conducting an experiment to determine the effectiveness of…

A: Given data is   Treatment Outcomes None Pruning Antibiotic Totals 0 to 2 years 39 35 27 101…

Q: For two events, M and N, P(M)= 0.4, P(N|M) = 0.3, and P(N|M') = 0.2. Find P(MIN'). P(MIN') =…

A: (Q-1)P(M) = 0.4             P(M') = 1-0.4 = 0.6P(N|M) = 0.3        P(N'|M) = 1 - 0.3 = 0.7P(N|M') =…

Q: Dystopia county has three bridges. In the next year, the Elder bridge has a 14% chance of collapse,…

A:

Q: 1. Consider Rolling a Fair six sided Dice with sides of 1 through 6. Consider rolling this dice 70…

A: Given the experiment that rolling a fair dice with sides of 1 through 6.

Q: A fair die is rolled n times. Denote the largest number from all rolls as r, r=1,...,6. a. Write…

A: Solution: From the given information, a fair die is rolled n times. Let r denotes the largest number…

Q: If X1,X2,...,Xn constitute a random sample of size n from a gamma population with α =2, use the…

A: Xi ~ gamma(ɑ=2 , β) ; i=1,2,...,n

Q: The random variable X has density function fx (x) = ax + b for 0 0.5) =

A: Given function isf(x)=ax+b    ;   0&lt;x&lt;1