4. P(A|B) 5. Use P(A|B) = P(A) and P(A and B) - P(A)*P(B) to determine if the two events are dependent or independent. Show or explain your reasoning

Q: Angelee has to answer any six problems on a test consisting of ten problems. In how many different w...

A: Given that  Number of problems test contains (n) = 10 Angelee has to answer questions (x) = 6   Numb...

Q: dealt one card from a standard 52-card deck. Find the probability of being dealt a card greater than...

A:

Q: Theorem 2.1.5 If A1, A2 ..., An are n (2 2) events, then P U A; |- £ P(A;} – E P(A;N Aj) + £ P(A¡ N ...

A:

Q: 45. A regression analysis yields the line ŷ = 18 + 0.25x. One of the subjects, Mary, has a = 40 and ...

A:

Q: The marginal distributions of two random variables X and Y, together with some values of their joint...

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.08 - 0.20 X=2 - 0.32 - 0.80 ...

Q: In a standard deck of 52 cards how many ways are there to: a) Pick a face card and a ten? b) Pick an...

A:

Q: If a real estate office sells 1.6 houses on an average weekday and sales of houses on weekdays are P...

A: As per our guidelines we can solve first three sub part of question and rest can be reposted. Soluti...

Q: 2) Based on previous data, a probability distribution was constructed to use probability that a cert...

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only fi...

Q: A continuous random variable X has density function f(x) =- (x-1)' defined on the 4 interval 11.5)

A:

Q: Suppose the age a student graduates from Salem State is Normally distributed. If the mean age is 23....

A:

Q: How many numbers consisting of 5 digits can be made from 1,2,3,4,5,6,7,8,9?

A:   How many numbers consisting of 5 digits can be made from 1,2,3,4,5,6,7,8,9?   

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days...

A: Let X be the random variable from normal distribution with mean (μ) = 260 and standard deviation (σ)...

Q: The graph of a probability distribution is shown below. The graph is made up of two line segments an...

A: Given graph is

Q: Two dice are tossed. The probability that the sum of each dice is a prime number is: O 9/36 O 14/36 ...

A:

Q: In a five-card poker hand, what is the probability of being dealt exactly one seven and no picture c...

A: Here 5 cards are dealt from 52 cards  It is without replacement model 

Q: The standard deviation of the lifespan of a certain brand of LED light bulbs Is 20 months. The quali...

A: We have given that. 1) X~N( μ , ?^2 )   μ =147 , ? =20 , n=70   Z-score =( x - μ )/?

Q: A box contains 17 transistors, 4 of which are defective. If 4 are selected at random, find the proba...

A: A box contains 17 transistors, 4 of which are defective. HERE 4 are selected at random  here it is w...

Q: Question 3 A manufacturer of window frames knows from long experience that 23 percent of the product...

A: We have given that  Success of probability p =23%=0.23 Number of trials n=13 X~binomial ( n, p)

Q: Find the odds for rolling a 6-sided die and getting a 3

A: The odds in favor - the ratio of the number of ways that an outcome can occur compared to how many w...

Q: A production process manufactures electronic components with timing signals whose duration follows a...

A: Here we have given that X ~ N (µ, σ )  

Q: A statistically minded fraternity junior keeps records on how many girls he has to ask before one ag...

A: Introduction: Denote Xi as the number of girls the fraternity junior has to ask before one agrees to...

Q: Suppose that you had infinitely many people, each one wearing a uniquely numbered button: 1, 2, 3, 4...

A: Infinitely many people and each wearing uniquely numbered butten(1,2,3.....) Now everyone flipping p...

Q: A spinner has 10 equally sized sections, 8 of which are gray and 2 of which are blue. The spinner is...

A: Given that  Total section of equal size=10 Gray color section=8 Blue color section=2

Q: A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the pro...

A: if a number cub is rolled and a coin is tossed than the possible outcomes are1,T1,H2,T2,H3,T3,H4,T4,...

Q: The Greek alphabet has 24 letters. How many fraternity names can be made using 1 to 3 letters if:

A: here given there are total 24 greek alpha bet now name can be made using 1 to 3 letters 

Q: lustration 16.21. There are three plants in a factory producing the same product independently. Expe...

A:

Q: You are tasked to arrange five different Mathematics books, four different Science books and three d...

A:

Q: A normal probability table uses the standard normal curve to determine areas of probability by the u...

A:

Q: What is the probability of rolling, on a fair dice a number greater than 4?

A:

Q: Ane the events E and F the event "the "sum, is even. independent ? Explain

A: Here two dice are rolled  So Total possible outcomes  = 6×6 = 36

Q: What is the probability that a sample will have a z-score of more than 2.90? Z 0.0 2.50.99380.99400....

A: The formula of the standard Normal score is,

Q: In a party, ten chairs are positioned around a circular table. In how many ways can ten people be se...

A:

Q: Eight coins are thrown simultaneously. Find the chance of obtaining : (i) at least 6 heads, (ii) no ...

A:

Q: d 4 2 5х dx 5x* ) + 3x — 7х +9х + 8

A:

Q: Typical values for alpha generally range from 1% to 10% for hypothesis testing. Select one: O True O...

A: Alpha represents significance level 

Q: - It is equally probable that the pointer on the spinner shown will land on any one of the eight reg...

A: Let A be the event that points stops at even number  Therefore, A = { 2, 4, 6, 8} And B the event th...

Q: A four-digit number is to be formed from the digits 0, 1, 2, 3, 5, 7, 8, and 9. How many four-digit ...

A:

Q: The two-way table shows the number of eggs laid by 10 Rhode Island red chickens and 10 leghorn chick...

A:

Q: The probability that an evening college student will graduate is 0.4. Determine the probability that...

A: We have given that  Success of probability p =0.4 Number of trials n=5 X~binomial ( n,p)

Q: How many three-digit odd numbers are possible if the leftmost digit cannot be zero?

A:

Q: Illustration 16.74. How many throws with a single die must a man haye in order that his chance of th...

A:

Q: calculate the expected value of X.S

A: A cubical die is biased. The numbers one to five are equally likely to land face up, but six is twic...

Q: IDENTIFY WHETHER EACH RANDOM VARIABLE IS DISCRETE OR CONTINUOUS AND CITE TWO POSSIBLE VALUES FOR EAC...

A: Disclaimer : “Since you have posted a question with multiple sub-parts, we will solve first three su...

Q: 45. A regression analysis yields the line ŷ = 18 + 0.25x. One of the subjects, Mary, has x = 40 and ...

A: Given  ŷ=18+0.25X  x=40, y=32   

Q: Using all 1991 birth records in the computerized national birth certificate Center for Health Statis...

A: Given data,Mean μ=3432sd    σ=482

Q: A four-digit number is to be formed from the digits 0, 1, 2, 3, 5, 7, 8, and 9. How many four-digit ...

A:

Q: Illustration. 16.75. If A, A, and A, be any three events prove that 3 P(A +A + Az) =EP(A;) -EP(A;A;)...

A:

Q: lim x - 9 Example 25. X →3 x² - - 5x + 6

A:

Q: 1. ________ are those events in which the probability of occurrence of an event is not affected by t...

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only fi...