We toss a die twice and the possible outcomes are (i, j) where i and j are numbers 1, 2, 3, 4, 5, 6 corresponding to the side that faces up. What is the probability p that i + j = 6, provided that at least one of i and j is even? p = 0.0741 How was the correct answer of 0.0741 attained?

Q: For discrete random variables, when making the probability statements that involve an inequality, it…

A: Given information: X is the discrete random variable. For discrete random variable, X>c is not…

Q: The random variable X has the probability distribution table shown below. x 3 5 7 9 11 P(X = x) 0.2…

A: x 3 5 7 9 11 P(X = x) 0.2 0.2 a a 0.2

Q: A rifle manufacturer is creating a new sniper rifle and is interested in testing the accuracy of its…

A: A random sample of 10 observations has been given. Let x be a random variable representing the…

Q: An important factor in solid missile fuel is the particle size distribution. Significant problems…

A: Given that, The distribution of particle size  f(x)=3x-4     x>1=0           elsewhere The pdf…

Q: 2.5-3. A professor gave her students six essay questions from which she will select three for a…

A:

Q: A fair die has 12 sides and they are labeled 1, 2, 3, …, 12. All answers should be in fraction form.…

A: We have given that,  A fair die has 12 sides and they are labeled 1, 2, 3, …, 12 = ?

Q: A bag contains 14 red marbles and 9 green marbles. We pick twice at random a marble from the bag…

A: It is given that  Red marbles = 14 Green marbles = 9 Total marbles = 23

Q: You draw five cards from a standard deck of playing cards. (a) How many hands contain exactly two…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: You must make a choice between 4 different brands. Based on the data in the table, which brand has…

A: Brand Breaks within 6 Months Total A 1250 12,400 B 1375 7500 C 450 1400 D 84 230

Q: Question 10 For discrete random variables, when making the probability statements that involve an…

A:

Q: 8) You spin a number less than 6 on the spinner shown. What is the complement of that? 10 00

A: Given: Total Number =10 To Find : complement of a number less than 6 on the spinner

Q: During a year ending April 30 of that year, there were approximately 5.0 million sales of existing…

A: Given Information: The number of sold in the West=1.1 million The number of homes sold in the United…

Q: Hale Middle School is going to select a committee. The committee will have a faculty member, a male…

A: We have given the positions of the people interested in each as follows, Position People…

Q: 6) In a turn during a game, you must roll a 6-sided die and spin the spinner shown. What is the…

A: 6) A 6-sided die is rolled and spinner of 10 numbers spinned.

Q: Please send me answer within 10 min!! I will rate you good for sure!! Please solve all parts and…

A: Data given n=80, p=0.46  Each pick is independent.

Q: let a and b be two events with P(A) = 3/8, P(B) = 3/8, and P(A∩B) = 1/8. the value of P(A U B) is

A: From the provided information, P (A) = 3/8 P (B) = 3/8 P (A ∩ B) = 1/8

Q: We propose another model of early propagation of an epidemic, by counting the number of indi-…

A: We are given a growth model of an epidemic.  At day 0, there is one person infected. From a day to…

Q: Determine which approach of assigning probabilitise is the most appropriate.…

A: Given: Choose the appropriate answer from the options Probability of having snow on…

Q: Round your answers to four decimal places. P(x > 9) = P(Z > -1.90) = 1 - P(Z < -1.90) x x

A: To find probability P(x&gt;9.5)=p(z&gt;-1.90) Using given z table

Q: A random variable follows a binomial distribution with a probability of success equal to 0.57. For a…

A: Solution-: Given: n=11,p=0.57 We want to find, (a) P(Exactly 4 successes)=? (b) P(7 or more…

Q: Let x have a uniform distribution on the interval 0 to 10. Find the probability. P(4 < x < 9)

A: Obtain the probability of P(4&lt;x&lt;9)   The probability of P(4&lt;x&lt;9) is obtained below as…

Q: A Harris Interactive national telephone poll in 2002 asked, "Do you think adults should be allowed…

A: Given: For the question asked in the national telephone poll, 80% of respondents answered, "Yes, it…

Q: Brianna is using the two spinners shown below to play her new board game. She spins the arrow on…

A: spinner 1 : {1,2,3,4}spinner 2 : {forward,backward}brianna spin both spinner.

Q: The P(A) = ?  5/11.    P(not A) =?    6/11 Odds in favor of A are?

A: Given that P(A)=5/11, P(not A)=6/11

Q: If the cards are drawn with replacement, what is the probability that each of the numbers 1, 2, 3,…

A: (i) We  are given that we have  20 cards in a deck having 4 cards of each number 1,2,3,4,5. Ten card…

Q: A quiz consists of 10 multiple-choice questions, each with 4 possible answers. For someone who makes…

A: We know that : The binomial distribution is a discrete probability distribution. As the name…

Q: Problem 6. The memoryless property. Suppose X~ Geometric (p) for some p = [0, 1]. Recall that this…

A: a) To show that P(X &gt; n) = (1 - p)^n, we can use the definition of probability: P(X &gt; n) = 1 -…

Q: Question 3 Given B(10,0.6) for sample size 20.Find the probability for sample mean a.P (X < 5.5)…

A: Given B10, 0.6 for sample size 20. B10, 0.6 indicates that a random variable X follows Binomial…

Q: The table lists the drinking habits of a group of college students. If a student is chosen at…

A: Given that Man=87, Heavy driver=6, Total=188 Man and Heavy driver=3

Q: Men Women Boys Girls Total Survived 332 318 29 27   Died 1360 104 35 18   Total

A: Data given    men Women Boys Girls Survived 332 318 29 27 Died 1360…

Q: SAT verbal scores are normally distributed with a mean of 450 and a standard deviation of 120. a)…

A: Given Mean(μ)=450standard deviation(σ)=120

Q: 2. A bag of marbles contains 6 red marbles and 7 blue marbles. You take 4 marbles out of the bag,…

A: Given,no.of red marbles=6no.of blue marbles=7Total no.of marbles=13

Q: Among 47 people at least how many were born in the same month? (b) assuming that no one is born on…

A: Arranging the objects or numbers in a particular order is referred to as Permutation Selecting the…

Q: Given that P(AUB) = P(A) = and P(AB) = Find P(B) and express the probability as a simplified…

A: We have given that, P(A U B) = 1/4, P(A) = 1/5 and P(A ∩ B) = 1/8 Then,  We will find P(B) = ?

Q: The time (in minutes) between telephone calls at an insurance claims office has the exponential…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Your company assigned two accident insurance plans (Plan 1 and Plan 2) among the full-time and…

A: Let us denote the following events: P1: Plan 1 accident insurance is assigned. P2: Plan 2 accident…

Q: Given a sample with a mean of 175 and a standard deviation of 40, calculate the following…

A: Given that  The mean of 175 and a standard deviation of 40

Q: Given a sample with a mean of 57 and a standard deviation of 8, calculate the following probability…

A: Given that  Given a sample with a mean of 57 and a standard deviation of 8

Q: Given inter arrival mean from an exponential distribution is: 1/lambda = 2.4 The service times…

A: Given: Interarrival mean from an exponential distribution: 1λ=2.4 Probability density function(pdf)…

Q: Let z be a standard normal random variable with mean ? = 0 and standard deviation ? = 1. Use Table 3…

A:

Q: In 2002, 66.3% of men and 50.3% of women in a country were overweight Given that 48 4% of adults are…

A: Given Information: 48.4% of adults are men and 51.6% of adults are women. 66.3% of men are…

Q: The state of California has a mean annual rainfall of 19 inches, whereas the state of New York has a…

A: Given Information: California: Mean μ=19 Standard deviation σ=4 Sample size n=30 New York: Mean μ=48…

Q: 2. Answer the following questions (a) If P(A|B) = 1, must A = B? Draw a Venn diagram to explain your…

A: Given P(A|B)=1

Q: Suppose that we have two events, A and B, with P(A) = 0.50, P(B) = 0.60, and P(A n B) = 0.40. (a)…

A: given   data ,  two events , p(A)=0.50p(B)=0.60p(A∩B)=0.40  we have to  answer part a to c for the…

Q: The table shows relative frequencies for red-green color blindness in one doctor's practice. M…

A: M M' Totals C 0.047 0.007 0.054 C' 0.549 0.397 0.946 Totals 0.596 0.404 1.000

Q: 2.5.5Suppose that two continuous random variables X and Yhave a joint probability density function…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: Mr. Ramirez told his class that the class’s pet hamster is 1 4 foot long. How long is the pet…

A: To convert inches to feet divide by 12 To convert feet to inches multiply by 12 we have that the…

Q: ) As a function of 0, determine P(X ≤ 1). ) Assume that is unknown, but we can observe X. For given…

A:

Q: In a certain community, 36 percent of the families own a dog and 22 percent of the families that own…

A: Given  P(Dog)=36%=0.36, P(Dog and Cat)=22%=0.22, P(Cat)=30%=0.30  P(Dog|Cat)=?

Q: Given the following probability density (mass) function: X = x -2 12 4 P(X= x) 0.39 0.3 0.31 Define…

A: