From 6 positive and 8 negative integers, 4 integers are chosen at random and multiplied. Find the probability that their product is positive.

Q: John has been training to improve his 5 K race time. He believes he can now run 5 K races with an…

A: From the provided information, Sample size (n) = 5 The null hypotheses is H0: µ ≥ 1380

Q: You have relatives coming for dinner this weekend.  The probability that your uncle Josiah will show…

A: given data  event A: uncle josiah show up B : aunt beatrice show up   P(A) = 0.48 P(B) = 0.43 P(A∩B)…

Q: Suppose that the diameters of a new species of apple have a bell-shaped distribution with a mean of…

A: Empirical rules:1) P(μ-σ<X<μ+σ)=68%2) P(μ-2σ<X<μ+2σ)=95%3)…

Q: Each of the numbers 1 - 15 is written on a different balloon. The fifteen balloons are then blown up…

A: Given  Number 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days…

A: Given Mean=261 Standard deviations=16

Q: You roll an ordinary six-side die once and then you toss a coin. Which of the following pairs of…

A: Given data you roll a ordinary six-sided die once and then you toss a coin.

Q: A copper wiring is being tested for its strength (MPa) with N(μ. O=0.42). Multiple samples have…

A: A copper wiring is being tested for its strength (MPa) with N(μ,σ=0.42).Multiple samples have…

Q: Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate…

A: Given information: Regular hexagon has six equal sides.

Q: A survey asked, "How important is it to you to buy products that are made in America?" Of the 600…

A: Given x=450 n=600

Q: Question 2 The data in the following table represent the number of hours of relief provided by five…

A:

Q: The scores of a Statistics test are below.Suppose the teacher decided to add 10 points to every…

A: Box plot is the measure of quartile graph. It is the combined value of five number summary. Five…

Q: The investor chooses between shares of 20 companies, 8 of which are insurance companies, 5 are legal…

A: Given: total companies=20 number of insurance company=8 number of legal companies=5 number of…

Q: The probabilities that a student will receive an A, B, C or D grade are 0.4, 0.3 0.2 and 0.1…

A: From the provided information, The probability distribution table for grades can be constructed as:…

Q: You have relatives coming for dinner this weekend.  The probability that your uncle Josiah will show…

A: Given,P(Josiah will show up)=0.69

Q: Suppose that one variable, , is chosen randomly and uniformly from [0, 3], and another variable, y,…

A:

Q: For a fishing trip, Dante is going to choose lures to put in his tackle box. He has 10 lures that…

A: Solution-: Given: Number of lures that are crankbaits=8 Number of lures that are jigs =10 Total…

Q: Question 5 If A and B are independent events, and P(A) = 0.33 and P(B) = 0.54, find P(BA'). Express…

A: Solution

Q: A box contains four new, one used but still working, and two defective diodes. Five diodes are…

A: Solution: From the given information, a box contains four new, one used but still working and two…

Q: Let X, Y have the joint density function 2 \exp(-x-y) if Are they independent? Find Cov(X,Y).…

A: Given the joint density function of X and Y, f(x,y) = 2 e-x-y,     0<x<y<∞

Q: D) By observing the sample space of the coin and marker, determine the probability of obtaining the…

A: Total number of outcomes in coin toss = 2 {H,T} Total number of outcomes in colors = 4 {red, yellow,…

Q: A bag contains 4 red balls and 6 black balls. 2 balls are chosen at random one by one without…

A:

Q: In a test of the effectiveness of garlic for lowering cholesterol, 49 subjects were treated with raw…

A: Method: Using One sample t test

Q: Suppose P(E₁ E2) = 0.46, P(E2|E₁) = 0.92, and P(E₁) × P(E₂) =0.38. Determine P(E2), giving your…

A: Solution

Q: (a) A structure consists of 100 column footings. Suppose the settlement of each footing is…

A: Given that a structure consists of 100 column footings and the settlement of each footing is…

Q: A customer calling a call center spends an average of 45 minutes on hold during the peak season,…

A: Given Mean=45 Standard deviation=12

Q: Ron wants to make sandwiches for him and his friends. He has the following choices in breads (whole…

A: From given data : Breads = 4 types Meat = 2 Types Vegetable = 2 types Spreads = 2 types

Q: A bag contains 3 red balls, 5 yellow balls and 7 pink balls. If one ball is drawn at random from the…

A:

Q: Is the sample mean, calculated from a random sample, an unbiased estimator of the population mean?…

A:

Q: Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate…

A: As we are well aware that when order matters then permutations used while when order does not matter…

Q: Nick takes half-court shots on a basketball court. He is a streaky shooter, so his shot outcomes are…

A: Given Information: Consider state 0 as make shot and state 1 as Miss shot.

Q: How many times do we have to flip a balanced coin to be able to assert with a probability of at most…

A:

Q: Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical…

A: Given Information: Mechanical engineers: Sample size n1=25 Sample mean x¯1=$46142.20 Sample standard…

Q: possible to get the following results: (a) 4 queens (b) No face card (c) Exactly 2 face cards

A: by bartleby policy i can gives only 3 subparts at a time  Total cards = 52 to be chosen = 5 and…

Q: The weight of the mature cabbage, X, is assumed to be normally distributed with expected value μ =…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: In 1953, N. Keyfitz published a study in the American Journal of Sociology entitled, "A Factorial…

A: Given information, The number of children of women who were aged 15-19 when first married. Provide…

Q: Nucleotides are the chemical components of DNA. There are 4 kinds of nucleotides (named for the…

A: given data  4 kind of nuckeotides : {A,G<C,T} codon is DNA that contains 3 nucleotides  P(codon…

Q: According to the Center for Disease Control website, in 2011 more than 18% of high school students…

A: It is given that 150 students surveyed, 82 have smoked.

Q: Does the compound event consist of two mutually exclusive events? Two dice are rolled. The sum of…

A: A=The sum of 2 can be obtained by (1,1) B=The sum of 9 can be obtained by (3,6),(4,5),(5,4),(6,3)…

Q: Suppose you want to choose a sample of 50 students from a school of 400. Explain why the following…

A: Given data suppose you want to choose a sample of 50 students from a school of 400

Q: The form of the Poisson distribution becomes more and more symmetric, even bell-shaped, as the mean…

A: Given  X~Pois(λ) Mean=λ

Q: Q13. In a bet, you have 40% probability of losing $15. What should the potential winnings from such…

A: From. The above data  We are given that the  n= 15 P = 0.40

Q: In a simultaneous throw of two dice, what is the probability of getting a total of 7 ?

A: The sample space in the simultaneous throw of two dice is : S={(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)…

Q: A worn machine is known to produce 10% defective components. In a run of 3 components, find the…

A: Givenp=0.10n=3

Q: The probabilities that a student will receive an A, B, C or D grade are 0.4, 0.3 0.2 and 0.1…

A: From the provided information, The probability distribution table is as follow: Grade A B C D…

Q: From a group of 12 newly hired office workers, 4 assistants are selected. Each of 4 different…

A: GivenTotal no.of newly hired office workers(n)=12No.of assistants to be selected(k)=4

Q: If one student is selected at random, find the probability that   d) the student is 7 - 12 years…

A: It is given that Total = 315 Number of students prefers taking ballet, n(ballet) = 100 Number of…

Q: Suppose we have the experiment of forming a random binary code consisting of 4 characters. Let X be…

A:

Q: 16. For the probability density function shown, what is the probability of the random variable æ…

A: To find: The probability of the random variable x being less than 1/3 ?

Q: 75% of all U.S. adults use some type of vision correction. Suppose 1000 adults are surveyed about…

A: Given,n=1000p=0.75q=1-0.75=0.25mean(μ)=npmean(μ)=1000×0.75=750Standard deviation(σ)=npqStandard…