ourteen students have volunteered for a committee. Eight of them are seniors and six of them are juniors. Suppose the committee must have five students (either juniors or seniors) and that one of the five must be selected as chair. How many ways are there to make the selection? Hint: begin by using the formula for counting subsets.

Q: Sixteen people decide to play softball. In how many ways can the 16 people be divided into 2 teams…

A: There is total 16 people decide to play softball.

Q: H0 :  μ =60.00 H1 :  μ  ≠ 60.00 Level of significance:  α =0.01  Sample size: n=1,000 Test…

A: The test statistic  is -2.43. The level of significance is 0.01.

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A: Px(x) =1/ 4,  x=1,2,3,4

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A: It is given that, if the players roll a 1​ or 2​, they receive $50.00, if they roll a 3​, they pay…

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A: Roll 23 sided dice.  S={1,2......23}=23

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A: It is given that x1=15, n1=50, x2=23 and n2=60.

Q: If 4 cards are drawn from a deck of 52 and not replaced, find the probability of getting at least 1…

A: Total no. of cards in a standard deck = 52There are four suits in the deck heart, diamond, spade,…

Q: For X~ t (17), give the R code that will compute the following. 1. P(X1.4) 3. P(0.45<X<1.31)

A: Assuming that "t(17)" refers to the Student's t-distribution with 17 degrees of freedom, you can use…

Q: (Bonferroni's Inequality) P(AB) ≥ P(A) + P(B) − 1

A: We have to proof that  P(AB)≥P(A)+P(B)-1

Q: Refer to the following scenario. A government official is in charge of allocating social programs…

A: n=130 X=Number of people whose annual income lies below poverty line. = 22

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A: Suppose two shots are fired at a target. Assume each shot hits withindependent normally distributed…

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A: Although logic is very formal, it can be fun. I am studying logic and probability this quarter. Sam…

Q: to primary career motivation. The following table shows the results. If one of these students is to…

A: Total=100  Female and motivated primarily by creative=17

Q: 1. Construct a 95% confidence interval to estimate the proportion of Wingate male students that are…

A: (1) Sample size n =126 Number of successes x =17 Confidence level is 95% i.e., 0.95 Significance…

Q: Problem 11.3. A sample of n independent observations x1, x2,..., In came from a distribution with…

A:

Q: If the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will be…

A: Let A=An individual with a Bachelor Degree in Underwater Basket-weaving will be hired in their first…

Q: In how many ways can a committee of three men and three women be formed from a group of eleven men…

A: From the provided information, Total men = 11 Total women = 6 A committee of 3 men and 3 women…

Q: find the probability that Aaron selects a retriever, given that Rebecka selects a poodle.

A: A pet store has 8 puppies, including 2 poodles, 2 terriers, and 4 retrievers. If Rebecka and Aaron,…

Q: The following table shows the number of correctly and incorrectly filled out tax forms obtained from…

A: Total=100  Incorrect=30 Long form (1040)=60+20=80 Incorrect and long form (1040)=10+10=20

Q: P(|X|>1.3)

A: In statistics, the t-distribution is a probability distribution that arises in hypothesis testing…

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A: The probability of a certain 22​-year-old person dying within a year is p=0.001921.  They are…

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A: a) States: The state of the system is defined by the number of members in the club, which can range…

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A: Given 6 marbles in which there are  Number of red marbles= 5  Number of purple marbles= 1  Then…

Q: Let 11 1 2 14> : 11 Calculate 14> = |Q> (Normalize IQ>) Then find the probability that Q> is found…

A: ω=121-ii2 ,μ=121i Calculation of ωμ ωμ=ωμ=121-ii2 121i    =121-ii21i    =121-i2i+2i    =121+1i+2i…

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A: The mean and standard deviation for long-term corporate bonds are 6.9 and 9.9 percent, respectively.…

Q: In a certain game, a player picks a card at random from a standard deck of cards. If the card is a…

A: Denote the random variable, X as the amount of won by the player when they play the game once.…

Q: When rolling 2 six-sided dice, how many outcomes are there? _____________ When rolling 2…

A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

Q: Q9. Two four-sided pair of dice are thrown with equally likely face values 1, 1, 2, 3. Let X denotes…

A: Two-four sided pair of dice are thrown with equally likely face values: 1, 1, 2, 3. X denotes the…

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: A randomly selected subject is given a bone density test and the test scores are normally…

Q: Considering the data, 16,18,12,72,23,73,16,66,81 Calculate the median?

A: Answer: Given data, 16,18,12,72,23,73,16,66,81 Sample size (n) = 9

Q: Many everyday decisions, like who will drive to lunch or who will pay for the coffee, are made by…

A: P(h)=0.4700 P(t)=0.5300

Q: the probability of the pointer landing in a brown region.

A: There are total 10 region in given spinner.  3 are brown , 3 are red , 2 blue and 2 yellow regions.…

Q: The letters in the word APPLE are arranged in a row. How many unique arrangements are there of the…

A: We have given that Word "APPLE"

Q: In Problems 31–34, one of two urns is chosen at random, with one as likely to be chosen as the…

A: There are two urns and one of urns is chosen randomly, with one as likely to be chosen as the other.

Q: A random variable x = {0, 1,2,3} is selected by flipping a bent coin with bias f to determine…

A: From the given information, A random variable x∈0,1,2,3 is selected by flipping a bent coin with…

Q: Find the mean and variance for the binomial distribution, P=0.13, n=19

A: Answer: From the given data, P = 0.13 Sample size(n) = 19

Q: 1. What R code will compute P(X125)? 3. What R code will compute P(160<X<170) ?

A: X ~ N(150, 12) Mean(µ) = 150Standard deviations (σ) = 12

Q: By coming up with two examples of a complex sentence for each of the following connectives,…

A: 1) "It is not the case that she passed the test, but she still did well in the class." and "It is…

Q: The data below are the final exam scores of 10 randomly selected calculus students and the number of…

A: Obtain the value of linear correlation coefficient. The value of linear correlation coefficient is…

Q: our cards are dealt from a standard deck of 52 cards. How many ways can you be dealt three aces and…

A: Four cards are dealt from a standard deck of 52 cards. There are 4 cards of aces in the deck. There…

Q: expected value per ticket from the standpoint of the charity?

A: As a fundraiser, the local charity is raffling off a prize worth $500.00. They plan to sell 1300…

Q: An animal shelter recorded the animals purchased by the 400 people who walked into the shelter.…

A: DOG FOOD CAT FOOD NO FOOD Total CAT 50 62 46 158 DOG 120 58 4 182 NO ANIMAL 30 20 10 60…

Q: If you pick a card at a random from a wheel shuffle, standard deck of playing cards, what is the…

A: A card is picked from well shuffled standard deck of playing cards Total no. of cards in a standard…

Q: Some useful properties of set operations are as follows: (proofs may be as exercise) Commutativity:…

A: There are 4 useful properties are given ,  Commutativity Associativity  Distributive laws De…

Q: The probability that the oldest is a boy and the youngest is a girl, given that there is at least…

A: Here  Family has 3 children with at least one boy and one girl.

Q: A game costs $2.00​ to play. In the game, the player picks a card at random from a standard deck of…

A: A game costs $2.00​ to play. In the game, the player picks a card at random from a standard deck of…

Q: Q5. Let X₁, X2 be a random sample of size n = 2 from the distribution having p.d.f f(x; 0) =…

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Q: I would like to know why the approach to the problem below is wrong: When coin A is flipped, it…

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