A deck has only 51 cards left, because a spade has been removed. From this deck, cards will be drawn at random, in succession, without replacement. Let Xi be a random variable representing the number of spades in the future i th draw. Calculate the following, and present your answer with 5 digits after the decimal point: Prob(X1 + ... + X7 = 3) %3D

Q: Sarah is about to draw a card at random from a standard deck of 52 playing cards. If he draws a…

A:

Q: Find the probability of getting 4 aces when 5 cards are drawn from an ordinary deck of cards. A…

A: Total number of cards = 52 Number of aces = 4 Number of non-aces = 52-4 = 48

Q: The probability that a bottle will have wieght 593g or less is?

A: Let X denote the bottle weights. Given that X follows N(mean = 600, SD = 6), then Z = (X - mean)/Sd…

Q: In a large population, 59% of the people have been vaccinated. If 5 people are randomly selected,…

A:

Q: Find P(F or G) by counting the number of outcomes in F or G.   P(F or G) =

A: The given outcomes  is . The sample space is .

Q: A student takes a 20-question multiple-choice test with 4 choices for each question. If the student…

A: The sample size n is 20.

Q: At a large university, the probability that a student takes calculus and is on the dean's list is…

A: Given that  The probability that a student takes calculus and is on the dean's list is 0.035.…

Q: A student takes a 20-question multiple-choice test with 4 choices for each question. If the student…

A: The sample size n is 20.

Q: A quiz consists of 2 true-false questions and 4 multiple-choice questions (each with 4 choices with…

A: Given data Quiz consists of 2 true-false questions 4 multiple-choice questions Total question = 2+4…

Q: L6Q1. What is the probability of choosing a yellow ball and a green ball from the box with…

A:

Q: In a recent semester at a local university, 600 students enrolled in both statistics I and…

A: In a recent semester at a local university, 600 students enrolled in both statistics I and…

Q: The probability of being dealt a hand containing 3 spades, 4 hearts, 2 diamonds, and 2 clubs is.…

A: Here use hypergeometric distribution

Q: 60% of all the town's residents own a dog and 61% own a cat. Of the dog owners, 48% also own a cat.…

A: Given: Pown a dog=0.60Pown a cat=0.61Pown a cat| own a dog=0.48 The probability that residents own a…

Q: ass, 75% of students are taking an English class, and 57% of students are taking both. Find the…

A:

Q: In a large population, 61% of the people have been vaccinated. If 5 people are randomly selected,…

A: From the given information, Sample size (n) = 5, Probability of success (p) = 0.61.

Q: find the probability that the educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

Q: Find the probability of obtaining an even number in one roll of a die.

A:

Q: At a sports camp, it was found that 80% of students play soccer, 71% of students play baseball, and…

A:

Q: t a large university, the probability that a student takes calculus and is on the dean's list is…

A: Probability of student takes calculus and on the dean's list is 0.026 Probability of student on the…

Q: A manufacturing company uses an acceptance scheme on items from a production line before they are…

A: Note: As per our guidelines we are supposed to answer only one question per post so i am solving…

Q: In a large population, 59% of the people have been vaccinated. If 3 people are randomly selected,…

A: n=3,p=59%=0.59X~Binomial(n=3,p=0.59)Let X be the number of person have been vaccinated.p be the…

Q: High school seniors who are accepted to TCNJ have a 60% yield rate, meaning that 60% of accepted…

A: Given information, the percentage of accepted students decide to attend TCNJ is 60% and there are 3…

Q: Find the probability that the day of the week begins with a T or a W

A: We know, number of days in a week = 7 set of days in a week = {Monday, Tuesday, Wednesday, Thursday,…

Q: Find the probability of being dealt three aces in a row, with replacement.  Assume a standard deck…

A: Standard deck of cards have 52 cards. Out of them 4 cards are Aces.

Q: A drunken man who has n keys wants to open the door if his office. He tries the keys at random, one…

A: Given The total number of keys =n The unsuccessful keys are eliminated and one by one keys are tried…

Q: The probability that a person living in Manila owns an air-conditioner is 0.04. find the probability…

A: The probability distribution for the nth success on the xth trail is,Where  n is the number of…

Q: Julia sets up a passcode on her tablet, which allows only eight-digit codes. A spy sneaksa look at…

A: According to the provided data, the passcode allows only eight digit codes. As the fingerprints on…

Q: Find the probability of drawing an ace at least once when you draw a card from a standard deck of…

A: Given data A standard deck of cards is given

Q: Suppose a jar contains 5 red marbles and 40 blue marbles. If 2 marbles are randomly chosen from the…

A: Given that, Number of red marbles = 5Number of blue marbles =40Total number of marbles = 45

Q: d. Between 3 and 11 (including 3 and 11) of them live in poverty.

A: given data  P(lives in poverty) = p = 0.08sample size n = 48x = no. of americans live in…

Q: Julia has eaten 12 doughnuts over the past few months. Of those doughnuts, 2 were maple doughnuts.…

A:

Q: Find the probability of getting 6 face cards (king, queen, or jack) when 6 cards are drawn from a…

A: We have given that the 52 cards of a standard deck. Total face card = 12

Q: Find the probability of choosing a red ball and a white ball from a jar with replacement. Color of…

A: The table is given as follows: Color of the Ball Number of Balls Red 3 White 2…

Q: In a large population, 52% of the people have been vaccinated. If 5 people are randomly selected,…

A: Here n=5AndP=52%=0.52

Q: In a large school, it was found that 71% of students are taking a math class, 72% of student are…

A: Given : In a large school, it was found that 71% of students are taking a math class, 72% of student…

Q: Orson performs 7 exercises over the span of a week. 5 of his exercises involve skipping rope. If he…

A: If the probability of getting selected for each outcome is equal, then such outcomes can be termed…

Q: A group of people were asked if they had run a red light in the last year. 315 responded "yes", and…

A: Given information- We have given that- Number of people have run a red light in the last year = 315…

Q: ssume that when adults with smartphones are randomly​ selected, 49​% use them in meetings or…

A: X is a random variable that such that each outcome of the random variable can be classified based on…

Q: A group of people were asked if they had run a red light in the last year. 312 responded "yes", and…

A: The number of favorable outcomes is the number of people who responded "yes" (312), and the total…

Q: Find the probability of purchasing a ticket with a number whose sums of the first three and last…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.