My box has: 100 dollar bills, 50 two-dollar bills, 20 five-dollar bills, 10 ten-dollar bills, 5 twenty-dollar bills, 2 fifty-dollar bills, a hundred-dollar bill, and a speeding ticket from northern Indiana. You pick one random object from the box. If you get money, you can keep it; if you get the ticket, you can pay it (it's $322). The random variable X is the cash value (to you) of what you get. Write the distribution of X , find its expected value, find its variance, and find its standard deviation

Q: A bag of M and Ms contains eight red, 13 blue, two orange, 15 yellow, 14 green, and six brown. What…

A: Given Number of green M&M=14 Number of red M&Ms=8 Number of blue M&Ms=13 Number of…

Q: You have some number of coins in your pocket, and you choose two at random. The random variable Z…

A: The random variable Z assigns the value of the coins in cents to each outcome  you draw out a…

Q: There are 4 quarters and 2 dimes and 1 nickel in a coin pouch. Two coins are selected at random. If…

A:

Q: You took a 5-question multiple choice quiz with 4 choices for each question.  If you guess at random…

A: Given information- A student takes a multiple-choice test that has 5 questions. Each question has…

Q: Casey is going to wear a gray sportcoat and is trying to decide what tie he should wear to work. In…

A:

Q: Pablo randomly picks five marbles from a bag of eleven marbles (six red ones, three green ones, and…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A charity organization is holding a raffle. Each ticket costs $14. One winner will win $1500, two…

A:

Q: w many outcomes are there in the sample space? no ma

A: Sample space in statistics is defined as the set of all possible outcomes in any random experiment.…

Q: A multiple -choice test consists of 6 questions . Each question has answers choices of a,b,c,d, and…

A: From the provided information, Number of questions (n) = 6 Each question has answers choices of…

Q: What score is expected?

A: Here use binomial distribution

Q: Tyler decides which type of pizza to order. The choices for crust are thin crust or regular crust.…

A: The objective of this question is to determine the total number of possible outcomes in the sample…

Q: A basket contains 4 pink clips, 6 purple clips, and 5 white clips. Daisy picks one clip and records…

A: given data,a basket contain 4 pink clips                              6 purple clips…

Q: Todd and Tiff both train pets. Todd trains 30% of pets and Tiff trains 70% of pets. Todd’s pets are…

A: Given that P(Todd trains)=0.30 P(Tiff trains)=0.70 P(female| Todd) =0.55 P(female| Tiff) =0.65

Q: multiple choice exam, there are 5 questions and 4 choices for each question.  You did not study, and…

A: n=5, p=1/4=0.25, X~Binominal(n=5, p=0.25) Let X be the number of correct question p be the…

Q: Pablo randomly picks three marbles from a bag of nine marbles (four red ones, green ones , and two…

A: There are total 9 marbles. And he will pick 3 marbles from it.  He can do that in 9C3= 84 ways So 84…

Q: United States, 40% of the population has brown eyes.  If 14 p

A: Here it is given that- Sample proportion (p) = 40100=0.4 Total number of observations (n) = 14 As n…

Q: A middle school has 250 students. Jenny surveys a random sample of 50 students and finds that 15 of…

A: Total number of students in school = 250 Sample taken of 50 students Number of students having maths…

Q: Pablo randomly picks four marbles from a bag of ten marbles (five red ones, three green ones, and…

A: I am going to calculate the outcomes for a given problem by using the combinatorial formula.

Q: Pablo randomly picks three marbles from a bag of eight marbles (four red ones, three green ones, and…

A: note: C(a,b)=a!b!(a-b)!     (a>b). we will be using combination as Pablo chooses 3 marbles out of…

Q: Pablo randomly picks four marbles from a bag of nine marbles (five red ones, three green ones, and…

A: Given,no.of red marbles =5no.of green marbles=3no.of yellow marbles=1total n.of marbles =9

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: A jar on your desk contains twelve black, seven red, nine yellow, and four green jellybeans. You…

A: The odds in favour of event A is P(A)/(1 - P(A)).

Q: A basket contains four apples, four peaches, and four pears. You randomly select a piece of fruit.…

A: Number of Apples, n(A)= 4 Number of peaches, n(Pch)= 4 Number of pears, n(pr)= 4 Total fruits , n=…

Q: You randomly select one card from a​ 52-card deck. Find the probability of selecting the king of…

A: It is known that Number of cards in a deck = 52 Number of king of diamonds = 1 Number of two of…

Q: If you have to answer 14 multiple choice questions, with each question having 7 choices, what is the…

A: The objective of this question is to find the probability of getting 6 or more correct answers out…

Q: A jar on your desk contains ten black, eight red, seven yellow, and five green jellybeans. You pick…

A: Introduction: The odds of an event A, is the ratio of the probability in favor of the event A, to…

Q: A bag of candies contains 14 jolly ranchers, 6 skittles, and 10 chocolates. What is the probability…

A: Solution: From the given information, a bag contains 14 jolly ranchers, 6 skittles and 10…