Darren is a physical therapist who specializes in leg injuries. His patients differ in age and type of injury. 0-12 years old 13-19 years old Knee pain 6 3 Ankle pain 8 9. Quadricep pain 4 9 Are the events "the patient suffers from quadricep pain" and "the patient is 0-12 years old" independent?

Q: use the probability of the union of two events, independent, or dependent events in solving the…

A: The union of two sets are calculated by adding two event and subtracting the intersection of two…

Q: Morgan buys a bag of cookies that contains 4 chocolate chip cookies, 6 peanut butter cookies, 8…

A: The probability formula is, Probability=Favourable outcomesTotal outcomes A bag contains totally 27…

Q: In your drawer you have 10 pairs of socks, 6 of which are white, and 7 tee shirts, 3 of which are…

A:

Q: 8) The probability that Olivia goes to Queen's university is 0.25. The odds in favor of Alice going…

A: Introduction: It is required to find the odds in favor of the event that only one of student O and…

Q: The probability that a student choose an Algebra course is 0.30 and the probability that she choose…

A: If two events, X and Y are independent then the relation P(X∩Y)=P(X)·P(Y) holds true, where, P(X)…

Q: If there are 12 people in a room: 3 democratic men, 3 republican men, 3 democratic women, and 3…

A: Given: Total number of people in a room = 12 Democratic men = 3 Republican men = 3 Democratic women…

Q: You decided to buy a white Honda. One out of five Honda cars at the dealerships is white. If you…

A: Introduction: If X ~ Binomial (n, p), then the probability mass function of X is: Here, n is…

Q: The probability that you sleep on your left side at night is 0.33. The probability that you snore so…

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Q: Suppose the probability that you will be elected president of AUSG is 0.15, and the probability that…

A: Solution

Q: 3. Suppose, you are rolling two regular six-sided dice and two four-sided dice together. Let's say,…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A man has five coins, one of vwhich has two heads. He randomly takes out a coin and tosses it three…

A:

Q: Zaire buys a bag of cookies that contains 7 chocolate chip cookies, 5 peanut butter cookies, 9 sugar…

A: It is given that the Zaire buys a bag of cookies that contains 7 chocolate chip cookies, 5 peanut…

Q: In a statistics class, there are 18 male and 10 female students; 6 of the females are from the…

A:

Q: How do you show that two events are independent?

A: Two events A and B are said to be independent if P(A and B)= P(A)*P(B)

Q: Two dice are tossed once. E1 is the event that the first die equals 4, and E2 the event that the sum…

A: Solution : Given : Two dice are tossed once. ∴ Ω   = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6),…

Q: You have a fair coin and you want to simulate an event that has probability 1/3, and another event…

A:

Q: In a grocery store there are 10 brands of canned tuna, 3 of which are on sale. a market goer takes 5…

A: Given : p = 310    = 0.3 n = 5

Q: An oil exploration company currently has two active projects, one in Asia and the other in Europe.…

A: Independent event : The events A and B are independent if , P( A and B ) =  P( A ) x P( B )…

Q: Mr. Moreland is having trouble keeping track of his marbles. He thinks he has six purple marbles,…

A: From the provided information, Total purple marbles = 6 Total red marbles = 5 Total blue marbles = 3…

Q: Are the events "income is 40,000 USD and over" and "attended University B" independent? a. What is…

A: Two events are said to be independent if P(A and B) = P(A).P(B)

Q: Brendan buys a bag of cookies that contains 9 chocolate chip cookies, 5 peanut butter cookies, 7…

A: Given Information: Number of chocolate chip cookies = 9  Number of peanut butter cookies = 5  Number…

Q: You have just tossed a fair coin 4 times and it landed on heads each time, if you toss that coin…

A:

Q: Three Hatfields and five McCoy's are up for 3 construction jobs in Williamson. What is the…

A: The number of Hatfields = 3The number of McCoy's = 5Total number of construction jobs in wiliamson =…

Q: You are your friends are playing cards and a standard deck of 52 playing cards is thoroughly…

A: Given a deck of 52 playing cards.  We need to find the probability that the first four cards dealt…

Q: i have a 20p a 10p and a 2p coin, what is the probability of getting two tails and a head in any…

A:

Q: Billy randomly selects a card from a standard deck. The probability of him selecting a king or a…

A: We have given that the Billy randomly selects a card from a standard deck. The probability of him…

Q: I pick the 5 of hearts from a deck of cards.  If the 5 of hearts is not returned to the deck, what…

A: There are four 5s and 13 hearts in a deck of cards After drawing the 5 of hearts there will be…

Q: . A committee of 4 is to be chosen from a group of 10 students. If Luis and Mercy are among those…

A:

Q: 19. Family Junio have 5 children. What is the chance that there are three boys and two girls?

A: As per our guidelines, we are allowed to answer first question only. Thanks   19) The chance of…

Q: The athletic department of a school has 16 full time coaches, and 4 of them are female. The director…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Box A contains 20 red marbles and 30 blue marbles. Box B contains 10 white  marbles and 47 black…

A: List the given values, Box A :  Red marbles (R) = 20 Blue marbles (B) =  30 Total  marbles in Box A…

Q: Mrs. Donovan is the coach of a middle school golf team that has 10 golfers. There are 2 sixth…

A: Total golfers, n= 10 Eighth graders= 6 Probability of selecting eighth graders= 6/10= 0.6

Q: 2. Wanda receives on average 8 messages from Vision in a 3 hour period. What is the probability that…

A: Given on average 8 messages from vision in a 3 hours periodλ=8 messages from vision in a 3 hours Let…

Q: find the probability that when you select one piece from the white piece and then a send piece from…

A:

Q: In a hospital, there are 11 male patients in ICU, 7 female patients in ICU, 5 male patients in…

A: Given that,  MALE Patients in ICU =11 MALE Patients in Cardiology= 5 MALE Patients in…

Q: Three men are seeking public office. Candidates A and B are given the same chance of winning, but…

A: We have given that three men are seeking public office. P( A ) = P( B ) And, P( C ) = 3*P( A ) or…

Q: Mrs. Donovan is the coach of a middle school golf team that has 10 golfers. There are 4 sixth…

A: Given information- Total number of golfers = 10 No. of sixth-graders = 4 No. of seventh-graders = 2…

Q: omeone flips a fair coin and rolls a 6-sided die. What is the probability that a tail and 3 will be…

A: Someone flipped a fair coin and rolled 6 sided-die. Outcome of this event is: Ω = {H1, H2, H3, H4,…

Q: According to the United States Census Bureau, 18.3% of all households have 3 or more cars. In a…

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

Q: You are dealt two cards from a standard deck of 52 cards. What is the probability that the two cards…

A:

Q: A box contains 6 red balls, 4 white balls. Two balls are drawn, what is the probability of the first…

A:

Q: Mrs. Donovan is the coach of a middle school golf team that has 10 golfers. There are 2 sixtgraders,…

A: nx =n!x!(n-x)! Selecting x items out of n items

Q: Are the events A and B mutually exclusive or not?

A: A={even number}={28} B={multiple of 3}={15, 21, 33}

Q: Amy buys a bag of cookies that contains 7 chocolate chip cookies, 8 peanut butter cookies, 5 sugar…

A: There are total (7+8+5+7)= 27 cookies  She can pick the first cookie in 27 ways and second cookie in…

Q: There is a 3/4 chance Matt will choose pepperoni pizza and a 1/3 chance Ashley will choose a salad.…

A: Given that the probability that Matt will choose pepperoni is 3/4. And the probability that Ashley…

Q: 1 then 3 If the probability of an event is probability of its complement is

A: We know that sum property of a event and its compliment is always Equal to 1

Q: Mrs. Bothe filled out a bracket for the NCAA National Tournament. Based on her knowledge of college…

A: Binomial distribution: A discrete r.v. X taking values 0,1,2,3, …., n is said to follow a binomial…