The table shows the preferences of 40 students surveyed about the design of a new t-shirt for students who are graduating this year. Sleeves short sleeves long sleeves pink 12 5 black 14 What is the probability that a student surveyed, selected at random, preferred a pink t-shirt wit

Q: A random variable X follows normal distribution with the mean 100 and standard deviation 4. Find the...

A:

Q: The joint probability distribution of two random variables X, Y is given in the table below. Y=-3 Y=...

A: Required probability is P(X≤-3 , Y≤0)

Q: particular fruit's weights are normally distributed, with a mean of 282 grams and a standard deviati...

A: We have given that.   X~N( μ , ?^2 )   μ=282   , ?=24   Z-score =( x - μ )/?

Q: Suppose the grades in a finite mathematics class are Normally distributed with a mean of 75 and a st...

A:

Q: 1. In how many ways can 8 students be seated in a row of 8 seats if 2 of the students insist on sitt...

A: We have to find how many ways can 8 students be seated in a row of 8 seats if 2 of the students insi...

Q: 2. You form a seven-digit code using the digits 0, 1, 1, 2, 3, 4, 5. What are the chances that the n...

A: Given : Using digit 0,1,1,2,3,4,5   we form 7 digit code . We need to find the chances that the numb...

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: How many four-digit odd numbers less than 5000 can be formed using the digits 2, 3, 4, 5, 6, and 9.

A: Given:  Using the digit 2,3,4,5,6 and 9  We need to find how many four digit odd  number be formed l...

Q: 12.19 Running a Mile. A study of 12,000 able-bodied male students at the University of Illinois foun...

A:

Q: If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are...

A: Given:  total nonof cards =52  nonof diamond cards =13  to draw 4 cards then probability that all th...

Q: Discrete probability distribution  There is a group of 10 women and 8 men in a small business compa...

A:

Q: st each of the following by performing the steps in hypothesis testing. 1. The mean sales of 50 sale...

A: We have given that.   Sample sizes n1=50     , n2=50   Sample means X̄1=6820000 , X̄2=6500000   s =...

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

A: Given number 6300  

Q: Let X be a discrete random variable with the following PMF 0.1 for a = 0.2 %3D 0.2 for a = 0.4 %3D 0...

A: The probability mass function gives the probability at each possible value of a discrete random vari...

Q: Suppose that you had infinitely many people, each one wearing a uniquely numbered button: 1, 2, 3, 4...

A: Infinitely many people and each wearing uniquely numbered butten(1,2,3.....) Now everyone flipping p...

Q: Question 4 The annual commissions earned by sales representatives of a computer shop follow a normal...

A:

Q: three coins are tossed and the random variable z gives the number of tails. Find the range space, po...

A: Given that  Total number of tossed=3 H=Head , T=Tail

Q: A simple random sample of 30 items resulted in a sample mean of 15. The population standard deviatio...

A:

Q: (a) Find the probability that the number picked is between 6 and 10. (b) Find the probability that t...

A: here given continuous probability distribution curve

Q: The gym which provides the training expects the increase in enrollments in 2022 to be similar to pas...

A: Given information: μIncrease=13%σIncrease=1.4%Last year's number of enrolles=80,000

Q: 25. A six-sided die has faces numbered 1, 2, 3, 4, 5 and 6. Suppose the die is "loaded", so that any...

A: Let x be probability of odd face and 2x be probability of even face.   That is 3x+3×(2x) =1 9x=1 x=1...

Q: There are 18 males and 14 females in a classroom. A president, secretary and vice-president must be ...

A: Given that  Number of males = 18 Number of females = 14 Total number of people = 32   We know that  ...

Q: 8.) Test Question: On an English test, Tito Ramirez, must write an essay for three of the five quest...

A: Solution: Tito Ramirez must choose three of the  five question in part 1 in 5C3 ways.  Similarly Tit...

Q: Eight coins are thrown simultaneously. Find the chance of obtaining : (i) at least 6 heads, (ii) no ...

A:

Q: In a lottery, the top cash prize was $646 million, going to three lucky winners. Players pick four d...

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Q: lustration 16.21. There are three plants in a factory producing the same product independently. Expe...

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Q: How many 12 digit numbers can be formed from 4 ones, 2 twos, 3 fives, and 1 six and 2 nines?

A: We have given that  1 = 4 times 2 = 2 times 5 = 3 times 6 = once9 = 2 times

Q: Suppose the side effect of a new drug makes people (a) very sick, (b) sick, (c) kind of sick, or (d)...

A: Probability table, Effect very sick sick kind of sick not sick at all Probability (p) 0.1 0.2 0...

Q: Question 2 In a management trainee program at a particular company, 68 percent of the trainees are f...

A: Given that                We have to find  a) Find the probability that a management trainee select...

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

A: Here AS per note I have calculated Q 44 Here use basic definition of Residual 

Q: Exercise 5.3 An electronic scale at an automated filling operation stops the manufacturing line afte...

A:

Q: How many numbers consisting of 5 digits can be made from 1,2,3,4,5,6,7,8,9?

A:   How many numbers consisting of 5 digits can be made from 1,2,3,4,5,6,7,8,9?   

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: Suppose B is a Brownian motion. Please answer the following questions, justifying your answers: a. F...

A: Given B is a Brownian motion.

Q: A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the pro...

A: if a number cub is rolled and a coin is tossed than the possible outcomes are1,T1,H2,T2,H3,T3,H4,T4,...

Q: The large airline company, Cloudscape, knows from experience that only 77% of the passengers booked ...

A:

Q: 2-) club officers: If a club consists of 10 members, how many different arrangements of president, v...

A: Given that ; Total A club has 10 members i.e. (n) = 10  Total posts are (r) = 3  By usin permutation...

Q: Question 3 Assuming that births in PGH occur randomly at an average rate of 0.8 births per hour. Wha...

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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: Recently, the bowling scores of a certain bowler were normally distributed with mean 202 and standar...

A: given that mu=202,sigma=19 Find the probabilities

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A: here The gate code to a gated community consists of the # key, followed by 2 letters chosen from the...

Q: de fined as F(X) = P(X f(t) for – a <x < a. - t<a

A: Here f(t) is probability density function of x.  Where -a&lt;x&lt;a. 

Q: A fair six sided dice is tossed. The player loses 5 pesos if the result is "1", and loses P5 pesos i...

A:

Q: dx heorem 1.7.1 is convergent if and only if µ < 1. (x – a)H a

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Q: Please create an experiment using dice that consists of 2 actions. Ensure that the probability of th...

A: Let us suppose following are the two actions of experiment using the dice.  (1) throw a dice one tim...

Q: 15. Let Y be a r.v, having the geometric distribution with probability function -e . y-1,2,3, . PY, ...

A: Given Y~Geom(θ)

Q: Almost all medical schools in the United States require students to take the Medical College Admissi...

A: Given that, almost all medical schools in the United States require students to take the Medical Col...

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Q: write down the three possible values for the sum of the two variables, x+Y, and the probabilities of...

A: Let Z denotes the sum of X and Y i.e Z = X + Y

Q: Jeynysha has a Shape Bucket with a trapezoid, right triangle, scalene triangle, parallelogram, squar...

A: