Let ? and ? be two mutually exclusive events. Given that (?)=0.25 and ?(?∪?) =0.77, determine ?(?).

Q: You are required to calculate Expected Return and Risk for individual stocks. Show your solutions in...

A: here make table for each stock and calculate expected return and risk (standard deviation or varianc...

Q: Apgar Score 0 1 2 3 4 5 6 7 8 9 10 Number of Babies 0 1 0 1 1 5 22 50 33 17 2 Probability           ...

A: Given information: Apgar Score 0 1 2 3 4 5 6 7 8 9 10 Number of Babies 0 1 0 1 1 5 22 50 33 17 ...

Q: i.i.d. Given observations r1,...., an N(4, 0?) and using the conjugate prior distribution for u and ...

A: @solution:::

Q: Find the sample space of the following experiment using table. 1. tossing 4 coins and rolling a die ...

A:

Q: Here is a table showing all 52 cards in a standard deck. Face cards Color Suit Ace Two Three Four Fi...

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:...

Q: 3. Let T be a random variable giving the number of heads in three tosses of a coin. List the element...

A: According to Bartleby guildlines we have to solve first question and rest can be reposted.... Given ...

Q: Suppose that 2 balls are randomly selected (without replacement) from an urn containing 3 red, 4 blu...

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Q: Question 1 Consider a 3 dimensional contingency table. Decide if the following statements are true o...

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Q: The probability that a contractor will get a plumbing contract, is 2/3 and the probability that he w...

A: We have given that,  Let probability that a contractor will get a plumbing contract P(A) = 2/3 and p...

Q: Question 1 In a shipment of 50 parts, the company accidentally included 7 defective parts. If an ins...

A:

Q: If the team leader will give the "Employee of the Month" award to the employee with the highest expe...

A: Here use variance for comparison of consistentency   

Q: 2. In a class of 29 students, 15 like Social Studies and 21 like Math. If 14 of them like both Socia...

A: As per our guidelines we are suppose to answer only one question 2)GivenTotal no.of students = 29No....

Q: P(z< ( Or equal to ) z0) = 0.7054

A:

Q: For numbers 7-8, refer to the following: One thousand tickets are sold for P10.00 each. One ticket w...

A: The probability is the value that used to measure the likelihood of any event happening. It is denot...

Q: Suppose that 2 balls are randomly selected from an urn containing 3 red, 4 blue, and 5 white balls. ...

A: Given: 3 red, 4 blue, and 5 white balls X= number of red balls Y= number of white balls n = 2

Q: A gathering with 750 professionals is held. Females make up 450 of the attendees. Half of the female...

A: Given that  Total attendees=750 Female attendees=450 Male attendees=750-450=300 Female attendees und...

Q: The probability distribution of the daily demand for a product is shown below. Demand Probability 0 ...

A: The table shows the probability distribution of the daily demand for a product.

Q: Carl’s basketball shooting records indicate that for any frame, the probability that he will score i...

A: Given that the probability that he will score in a two-point shoot is 30%, a three-point shoot is 45...

Q: Activity: Answer the following and illustrate each under the normal curve: 1. Compute the probabilit...

A: 1)GivenThe probability area to the left of z=-1.25

Q: The lifetime of a certain type of battery is normally distributed with mean value 10 hours and stand...

A: Let X be the random variable from normal distribution with mean (μ)= 10, standard deviation (σ) = 3 ...

Q: A high-speed packing machine can be set to deliver between 11 and 13 ounces of a liquid. For any del...

A: It is given that the standard deviation is 0.08 and the sample size n is 25.

Q: A study shows in a certain school that the average number of hours a student answers his/her module ...

A:

Q: A university class has 27 students: 13 are psychology majors, 5 are business majors, and 9 are nursi...

A: Given that  A university class has 27 students. Psychology majors = 13 Business majors = 5 Nursing m...

Q: A jar contains 2 red marbles, 8 green marbles, and 5 blue marbles. What is the probability that you...

A: GivenA jar contains No.of red marbles = 2No.of green marbles = 8No.of blue marbles = 5Total no.of ma...

Q: How many different four-character passwords are possible if the first and third character must be a ...

A: The number of letters from A to Z is 26 and the number of digits from 0 to 9 is 10.

Q: How many mobile phone numbers can be formed if the network code begin with 0 and 9 and the seven-dig...

A: here use concept of combination 

Q: Let p, q, and r be simple propositions. ¬(r^ q)] V (¬p V q)

A: Given p,q,r are simple propositions we should construct the truth table for the given question. Plea...

Q: Sherane rolls a standard, six-sided number cube. Find P (not composite

A: Given: six sided die  S={1,2,3,4,5,6}  A be the event represent composite number={4,6}  then probabi...

Q: tom has 0.5 chance of winning the booker prize,whereas john has a 0.4 chance of winning the booker p...

A:

Q: 5 4 Two friends, Andrew and Liz, are playing a game using this spinner. If the spinner lands on regi...

A: The circle is sliced in to 6 parts.

Q: A. Give the value of the following. Answer: 1. P( 2, 2) 2. P( 5, 3) 3. P( 9, 3) 4. P(4, 2) 5. P(11, ...

A: we know that Pr=n!n-r!n

Q: Random versus balanced design for selecting participants in the 2nd stage of sampling has an advanta...

A: Question Random versus balanced design for selecting participants in the 2nd stage of sampling has a...

Q: Here is a table showing all 52 cards in a standard deck. Face cards Color Suit Ace Two Three Four Fi...

A: Given, The table of 52 cards in a standard deck.  

Q: B. Evaluate the following. 6! 1. 3!3! 9!+7! 2. 4!3! 10!(11!) nA A 3. 10!-8! %3D -A 10!+3! 4. 9!-3! Р...

A: The formula to calculate the permutation is: And, n! = n x (n-1) x (n-2) x .... x 3 x 2 x 1

Q: The purpose of the study conducted by Anim-Nyame et al. in 2011 was to examine the ascorbic acid lev...

A: The given data is entered in excel as shown below Null hypothesis: There is no statistically signifi...

Q: 3. Let p, q and r be the following propositions: p: The mall is open today. q: Sonny is going to the...

A:

Q: a) How many bit strings of length 9 either begin with 1 Os or end with 3 1s? (inclusive or)

A: Given that - How many bit strings of length 9 either begin with 1 0s or end with 3 1s?

Q: 3. According to the Children's Oncology Group Research Data Center at the University of Florida, 20%...

A: Given : P(undergoes surgery) =20% P(cured | undergoes surgery) =95%  

Q: 4 6 7 8. 10 An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and ...

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Q: Round off your answer to the nearest hundredths (two decimal places) for the standard scores and nea...

A: As per guideline expert have to answer first three subparts only.

Q: Male Female Walk 16 24 Bike 19 11 Car 21 22 The table shown gives the results of a poll taken on cam...

A: Given data is   Male Female Total Walk 16 24 40 Bike 19 11 30 car 21 22 43 Total 56 57 11...

Q: There are 300 million people in the United States. Assume 150 million are couples at any one time. T...

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Q: You and your 4 other friends play 5 ranked games in Mobile Legends every day for the past few months...

A: Given data is x 0 1 2 3 4 5 P(X=x) 0.002 0.246 0.082 0.262 0.393 0.015

Q: "If the glove does not fit, then you must acquit. The glove does not fit; therefore, you must acquit...

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Q: 1. Complete the table below by finding the variance and standard deviation of the following probabil...

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Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.9 years...

A: Let X be the number of years from normal distribution with mean (μ) = 2.9 and standard deviation (σ)...

Q: Threw fair coins are tossed. Find the probability that they are all heads if the first coin is heads...

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Q: The probability that people of Surigao likes "gangis" is 0.5. Find the probability that the tenth pe...

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Q: 2. About 13% of the population is left-handed. Assume that two persons are independently selected. W...

A: Given that  n=2 , p=13%=0.13 , q=1-p=1-0.13=0.87 X~Binomial(n=2,p=0.13) X=Number of left handed  p=P...

Q: Three students from a 13 student class will be selected to attend a meeting. 5 of the students are f...

A:

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.