If X and Y are independent, then what is the probability of the event Y > 4X?

Q: what is the probability of the event (X < }, Y < })?

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Q: If two or more events are independent and success is defined as the probability that all of the…

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Q: There is a 25% of you eating chocolate cake tomorrow, a 35% chance of buying a venti cappuccino…

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Q: Find the probabilities of getting Three 3s and then a 4 or a 5 in 4 rolls of a balanced die

A: a) since probability of a head on a fair coin is 1/2 therefore due to independence of trials P(eight…

Q: In a shooting game, the probability for Ali to hit a target is , and the probability for Ahmad to…

A: Answer - The probability for Ali to hit a target is   P(A) =  1/2                The probability for…

Q: How does the probability of an event can be determined?

A: The term probability is used widely (usually in statistics theory) as it gives the estimate of the…

Q: (d) Suppose the left-turn lane is to have a capacity of five cars and one bus is equivalent to three…

A: Here given joint distribution table for x and y X = no of cars Y = no. Of buses

Q: All of the morning science classes are filled & Lisa has a decision to take either Mrs. James or…

A: Given information: Morning classes will be the periods 1, 2, 3, 4 and 5. Afternoon classes will be…

Q: The events of A and B are mutually exclusive. Suppose P(A) = 0.15 and P(B) = 0.35. What is the…

A: Given Information: The events A and B are mutually exclusive. P(A) = 0.15 and P(B) = 0.35 Two events…

Q: A couple decides to continue to have children until they have two males. Assuming that P(male)=0.4,…

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Q: How is the probability of a combination (HH, HT, or TT) related to probabilities of its components…

A: Given: A combination of two coin tosses (HH, HT, or TT). In a coin toss, the possible outcomes are:…

Q: The probability that a patient recovers from a rare deadly disease is 40% . If 15 people are known…

A: Given: Probability of survive is, p=40%=0.40. Total number of people is, n=15. The objective is,…

Q: If the odds against an event are 4 to 9 then the probability that the event will fail to a is what.

A: The odds against an event are 4 to 9.

Q: If two events A and B are not disjoint, then the probability of their union

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Q: Two events are considered if the occurrence of one is related to the probability of the occurrence…

A: Solution Two events are considered dependent if the occurrence of one is related to the probability…

Q: Danny selects a glass bottle from the shelf randomly without looking and then tosses the fair coin.…

A: The selection of glass bottles and tossing coins are two independent events.  So, we have to find…

Q: A pair of dice is thrown. If it s known that one die shows a 4, what is the probability that (a)…

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Q: In remote jungle village the probability of a child contracting malaria is .45 the probability of…

A: GivenThe probability of a child contracting Malaria =P(Malaria)= 0.45The probability of a child…

Q: A game has three possible outcomes: X, Y, or Z. If P(X) = 0.6 and P(Y) = 0.3, what is the…

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Q: The probability of an event that is certain to not occur is

A: The objective is know the probability of an event that is certain to not occur.

Q: A couple decides to continue to have children until they have two males. Assuming that P(male) =…

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Q: Suppose P(A) = 0.2 and P(B) = 0.35, and P(A or B) = 0.48, for two events A and B. What is the…

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Q: Suppose the two events A and B are mutually exclusive. What is the probability of their joint…

A: Given that A and B are mutually exclusive. Then  AnB is an empty set. n(AnB) = 0

Q: Suppose that the probability of rain tomorrow is 0.4 What are the odds in favor of rain tomorrow?

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Q: If the odds in favor of Chris winning the election are 6:5, then what is the probability that a)…

A: Since odd in favour = (number of favourable outcomes)/(number of unfavorable outcomes)

Q: The probability that Sam parks in a no-parking zone and gets a parking ticket is 6%, and the…

A: The probability is used to calculate the probability of an event occur. Let A be the event, the…

Q: f the odds in favor of Chris winning the election are 10​:7​,then what is the probability that a)…

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Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: Given that boys and girls are equally likely and all the given possible events are equally likely.

Q: If a shopkeeper earns  $400 a day when it's weekend and $ 300 when its working day. What should be…

A: Given, If a shopkeeper earns  $400 a day when it's weekend and $ 300 when its working day. The…

Q: If we roll three six-sixed dice, what's the probability that their sum is even?

A: Further counting arguments can be used to find the number of ways of forming the other sums. The…

Q: If a die is rolled one time, what is the probabilities of each outcome: a. getting a number greater…

A: GivenA die is rolled one timethen the outcomes are{1,2,3,4,5,6}Total no.of outcomes = 6

Q: If the probability of rain is 0.7​, the probability of fog is 0.25​, and the probability of rain…

A: For any two non-null events A and B, it is known that P[A ∪ B] = P[A]  + P[B] – P[A ∩ B].

Q: Suppose P(X1) = .75 and P(Y2|X1) = .40. What is the joint probability of X1 and Y2?

A: Find the joint probability of X1 and Y2. The joint probability is obtained as given below:

Q: (a) The probability that an automobile being filled with gasoline will also need an oil change is…

A: Given Information: Probability that an automobile being filled with gasoline will also need an oil…

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: If the probability of one event occurring is 1/4 and the probability of another event occurring is…

A: Given Data: P( event 1)=1/4 P( event 2)=1/10   Assuming the both events to be independent

Q: If a person takes a five questions true-false, what is the probability of the event that the score…

A: For the given statement

Q: In a game of Jack n Poy, the player that wins 3 times out of 5 games is declared the winner, suppose…

A: Binomial distribution: The probability mass function (pmf) of a binomial random variable X is given…

Q: If an event has a probability equal to 0.2, what does this mean?

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Q: What does it mean for two events to be mutually exclusive?

A: Solution: We have to determine what does it mean for two events to be mutually exclusive.

Q: If the probability of an event E is 2/3​, then the probability that E will not occur is

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Q: suppose you roll a pair of fair 6 sided dices what is the probability that one of the rolls is an…

A: If two 6 sided dice are rolled then sample space is given by-…

Q: he probability of getting food that is not from Restaurant A is

A: Since , the total number of orders are =340+39+261+52+235+40+127+15=1109 Also , the total number of…

Q: The conditional probability of event A given event B has occurred is given by: *

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Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: We have to find probability..

Q: What is the relationship between two events if the conditional probability is equal to the…

A: Given if P(A|B) = P(A)