QUESTION 7 Find the either/or probability of the events. Getting a sum of either 2, 3, 4, or 5 on a roll of two dice.

Q: The measurement error X of a sensor is modeled as a normal random variable with parameters μ=0 and σ...

A: a) The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the me...

Q: Please solve the screenshot, thanks!!

A: Given: Sample size (n) = 2349 Sample proportion of American adults p^=0.59 Confidence level = 0.99 S...

Q: 7) Four students will be randomly selected from the six top students in mathematics to represent the...

A: Given data: The total numbers of students are n=6. The numbers of student that must be selected are ...

Q: List the outcomes (in numerical order, separated by commas) for rolling ONE six-sided die.

A: Given: The objective is to list the outcomes for rolling on six-sided die.  

Q: Suppose that insurance companies did a survey. They randomly surveyed 450 drivers and found that 310...

A: Number of drivers who claim that they always buckle up, x=310. Number of drivers who were surveyed, ...

Q: Study the binomial distribution table. Notice that the probability of success on a single trial p ra...

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

Q: Find the point of intersection of the pair of straight lines. 4x + 2y  =  11 −5x + 3y  =  11

A: Given Data: Equation 1: 4x+2y=11 Equation 2: -5x+3y=11 Solve equation (1) for x, 4x+2y=114x=11-2yx=1...

Q: If a study determines the difference in average salary for subpopulations of people with blue eyes a...

A: It is given that if a study determines the difference in average salary for subpopulations of people...

Q: A sensor connected to a control center indicates that there is damage somewhere along a particular 4...

A: From the given information, the random variable X follows Uniform distribution with minimum value 0 ...

Q: The thickness of a wooden shelf in mm, has probability density function             f(x) = {0.75 – ...

A: Given that :f(x)=0.75–0.75(x–5)2 , 4≤x≤60, otherwiseWe will make a table for the function  x 2 3 ...

Q: Kim wants to determine a 99 percent confidence interval for the true proportion of high school stude...

A: From the given information, Margin error (E) = 0.03 Assume sample proportion = 0.5   The objective i...

Q: A person draws 3 cards without replacement from a standard 52-card deck. Find the probability of dra...

A: There are total 52 cards in a standard deck of cards.The person is picking 3 cards from it.He can pi...

Q: Consider the following senerio. the five-number bet  (a) Find the expected value of each $1 bet in r...

A: Given information Five-number bet $1 bet in roulette Probability distribution table is shown below

Q: A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's names ...

A: Combinations: It defines the number of possible ways an object can be selected from a group. In comb...

Q: The graph shows the amount of medicine remaining after a certain number of hours. Medicine Remaining...

A: From the graph, a downward slope can be found. Also that the curve suggests that there is no linear ...

Q: Both sets of values have an average of 13. Is Set A's standard deviation smaller, larger, or about t...

A: 1. Standard deviation: Standard deviation determines how the individual values of the data deviate f...

Q: Calculate the relative frequency P(E) using the given information. (Round your answer to two decimal...

A: Given: A die is rolled 60 times. 1 and 2 never come up, 3 and 4 each come up 15 times, 5 and 6 each ...

Q: What is the average? 3 4 5 8   2   4   5   10

A: 2. Given Data: Number set: 3 4 5 8 The average of a number set also called mean. The average of numb...

Q: please help me in a and b

A: Given, Card deck consist of 52 cards, made up of 13 cards of each of 4 different suits. The cards ar...

Q: consider the following Probability Distribution for Sales table probability: .3 .24 .14 .21 .11 sale...

A: Determine E(x) using the formula E(x)=p1x1+p2x2+…+pnxn. E(x)=0.329+0.2435+0.1455+0.2166+0.1180=8.7+8...

Q: How many values are in the range 35 to 95? a) 62 b) 61 c) 60 d) 59

A: It is an application of mathematics . It has got wide applications in the various fields of mathemat...

Q: Probability Question

A: Note: Thank you for the question. Since multiple questions are posted, according to our policy, we a...

Q: Let x be a binomial random variable with n = 20 and p = 28 / 100. a-)Calculate the mean, variance an...

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

Q: Everything else being equal, a population with more variability yields a confidence interval that is...

A: It is very useful in statistics . It has wide applications in all hypothesis testing problems .

Q: IQs measured on a certain scale are normally distributed with a mean of 90 and a variance of 400. wh...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: EX 2

A: a. When a coin is tossed there are two outcomes Tail,Head. The probability of getting tail is 12 whi...

Q: On a recent quiz, a class mean was 70 with a standard deviation of 2.8. Grading was done on a curve ...

A: Given information- Population mean, µ = 70 Population standard deviation, σ = 2.8 We have to find th...

Q: Calculate the relative frequency P(E) using the given information. (Round your answer to two decimal...

A: Given that: E is the event that the number that comes up is at least 4. Means E= event of getting 4 ...

Q: A certain game consists of rolling a single fair die. If a four or five comes up, you win 2 dollars;...

A: Calculate the probability of win as, Pwin=Pgetting 4 or 5=26=13 Calculate the probability of loose a...

Q: Question 84 and 85.

A: Given, An urn contains four balls numbered 1,2,3 and 4 Two balls are drawn at random Each pair has t...

Q: Which of the following Python methods is used to perform a paired t-test for the difference in two p...

A: To perform a paired t-test for the difference in two population means ttest_rel from scipy module Py...

Q: A card is delt from a complete deck of 52 playing cards (no jokers). Use probability rules (when app...

A: Total number of cards =52 (a) Number of cards under 5 = 12 The probability of getting a card below 5...

Q: If the student attends class on a certain Friday, then he is three times as likely to be absent the ...

A: We are provided with the information that if a student attends class (present in class), then the pr...

Q: A sample of 14 small bags of the same brand of candies was selected. Assume that the population dist...

A: Here 'x' is the random variable under consideration i.e.  'weight of each bag of candies'. x¯= sampl...

Q: Problem on the picture

A: Since you have posted a question with multiple subparts, we will solve first three parts for you. If...

Q: . The thickness of a wooden shelf in mm, has probability density function             f(x) = {0.75 –...

A: Given :  The thickness of a wooden shelf in mm, has probability density function   f(x) = {0.75 – 0....

Q: The two last subparts please (d and e)

A:   (d) The number of numbers from 1 to 1000 divisible by 5 is 1000/5=200. If we want to count the num...

Q: Refer to the table which summarizes the Yesult of testing fora certain disease. A test subject is ra...

A: As given information:   Positive test result Negative test result Subject has the disease 57 0 ...

Q: If the odds of two people sharing the same STR pattern at any region is 0.1 in a population, what is...

A: The odds in favor of A is defined as P(A)P(A') Given that, the odds of people sharing same pattern i...

Q: Assume that 2 cards are drawn without a replacemnt from a standard 52 card deck. What is the probabi...

A: Given that 2 cards are drawn without a replacement from a standard 52 card deck.  Total number of he...

Q: Suppose that $12,000$⁢12,000 is deposited for five years at 3%3% APR. Calculate the interest earned ...

A: The deposited amount is $ 12,000. Time for the deposition is 5 years. Rate of interest is 3%.

Q: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted s...

A: Let X be the random variable representing the sum of the face values obtained on the two rolls of th...

Q: A fair coin is tossed 10 times. Use normal approximation to the binomial to determine the probabilit...

A: It is widely used in statistics . It is an application of approximation theorem .

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.