a. What is the probability that there are exactly 5 students who fail in 1 sem? o. What is the probability that there are exactly 2 students in one academic year? c. What is the probability that there are at least 2 students who fail in one sem?

Q: a.) what is the probability that the sample mean is 25 grams or more? b.) what is the probability…

A: Given ; Number of grams of fat = X  Mean of x = 24 grams Standard deviation of x = 5 grams  Sample…

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A: Given that the number of live births n = 1484 The live births are independent. Weekly rate of down…

Q: Let W be weight in kg, taken from 1000 student and W ~ N (50,25) 1. What is the median weight in kg?…

A: From the provided information, Mean (µ) = 50 Standard deviation (σ) = 25 W~N (50, 25)

Q: 40% of homeowners own AC. If 15 people are selected at random, what is the probability that at most…

A: We have given that the Binomial distribution with parameters p=40%= 0.40 and n=15.   The pmf of…

Q: If the experiment is in state 1 on the third observation, what is the probability it will be in…

A: The two-state transition  is given below. From the above matrix, the probability from state 1 to…

Q: Could you help me solve and understand number 2 (a) and (b) ?

A: It is given that p = 0.15 and n = 10. The probability mass function of the binomial distribution is…

Q: 1. Thirty five students are in a given course section: ) What is the probability that exactly four…

A: Total number of student in the course is 35.

Q: (i) How many different samples of 4 can be selected from the 50 disks? (ii) How many of these…

A: here given box contains 50 CD-ROM of which 5 are defective  quality control manager randomly select…

Q: b) A bag contains 30 balls numbered from 1 to 30. One ball is drawn at random, what is the…

A: Let A and B two events with Sample space (s) = (1,2,3,4,5,6,7,........, 30)  Multiple of 3 (A) = (…

Q: 9. A census by the county dog control officer found that 18% of homes kept one dog as a pet, 4% had…

A: Given Information: Probability of one dog = 0.18 Probability of two dogs = 0.04  Probability of…

Q: a. What is the probability that none will have twins? b. What is the probability that exactly 1 will…

A:

Q: There are eight female board members and twenty-two male board members. a. How many ways are there…

A: Given : No. of female board members (F) = 8 No. of male board members (M) = 22 Total board members…

Q: A deck of 15 cards has 5 green cards labeled 1 through 5,five blue cards labeled 1 through 5, and…

A: We have given that  Total cards=15 5 green cards labeled 1 to 5 5 blue cards labeled 1 to 5 5 red…

Q: If the experiment is in state 2 on the third observation, what is the probability that it will be in…

A:

Q: The employees of a company were surveyed on questions regarding their education background (college…

A: From given data,   College Degree No College Degree Total Single 120 80 200 Married 180 120…

Q: If 7 different customers A, B, C, D, E, F, and G arrive for service at random order, what is the…

A: If 7 different customers A, B, C, D, E, F and G arrive for service at random order, what is the…

Q: 1. (a) Suppose that 10 cookies are distributed among 5 distinct children, what is the probability…

A:

Q: and 3 are users of other drugs?(b) What is the probability that of 10 workers testing positive, all…

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Q: Of 100 students, 50 are taking Calculus, 43 are taking French, and 10 are taking both Calculus and…

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Q: (a) What is the probability that a household's weekly expenditure is less than $2,225? (b) What is…

A: As per our guidelines, we are allowed to answer three sub-parts only. Thanks The following…

Q: d) What is the probability that there will be at least 2 accidents during the next two weeks? e)…

A:

Q: a) What is the probability that exactly 4 small air- craft arrive during a 1-hour period? b) What is…

A:

Q: 3) Suppose the probability of Kevin attending a party is 80% and the probability of Judy attending a…

A: Given: P( A) = P( kevin attend party) = 0.80 P(B) = P( judy attend party) = 0.95 Events A and B are…

Q: a) Suppose a circuit board contains 25 diodes, what is the probability that more than 23 diodes…

A: here given , in proof testing of circuit board the probability of any particular diode will fail is…

Q: 1) According to the 2018 American Community Survey, California's population is composed of 39%…

A: Given: Probability of Latino = 39100=0.39 Probability of White = 37100=0.37 Probability of Asian…

Q: A card is to be randomly drawn from a standard deck of 52 playing cards. If event A is drawing a red…

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: Of the last 230 new hires at a company, 220 had college degrees and 140 had prior experience. Only…

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Q: (a) What is the probability that the number of drivers will be at most 14? (b) What is the…

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Q: a. If an operator wants to take a one-minute break, what is the probability that there willI be no…

A: Here as PER POLICY I SHOULD HAVE TO CALCULATE 3 SUBPART ONLY EVEN THOUGH I HAVE CALCULATED ALLL

Q: a. What is the probability that a wedding costs less than $20,000 (to 4 decimals)? b. What is the…

A:

Q: 2. A committee consisting of four women and three men will randomly select two people to attend a…

A: Hi, you have posted multiple question. As per the guidelines i am obliged to answer only first part.…

Q: a. What is the probability that the company selected has its corporate headquarters in California?…

A: The probability of an event E =No. of favourable casesTotal no. of cases=n(E)n(S), where S= sample…

Q: Assume that Jim, Bruce, and Valerie are three of the 35 members of the​ class, and that three of the…

A: We have to find out given probability . ..

Q: a. What is the probability that 15 or more of these consumers have called an 800 or 900 telephone…

A: The proportion of consumers who have called an 800 or 900 telephone number for information about…

Q: If 8 different customers A, B, C, D, E, F, G, and H arrive for service at random order, what is the…

A: Here Given total Number of customer=8

Q: 3. A traffic control engineer reports that 75% of the vehicles passing through a check point are…

A: Given,n=5p=1-0.75=0.25A random variable X~Binomial(n=5 , p=0.25)P(X=x)=5x0.25x1-0.255-x ; x=0,1,...5

Q: (a) What is the probability that at least 6 are from BA department (b) What is the probability that…

A: P(BA) = 0.5 = p1 P(CS) = 0.33 = p2 P(MS) = 0.17 = 93   n = 12

Q: 1. What is the probability that Z is between 1.57 and 1.84? 2. What is the probability that Z is…

A: Draw the normal curve and shade the area between z=1.57 & z=1.84 Required shaded area under the…

Q: a. On average, how many men should the researcher expect to check before finding one who is…

A: here given p =probability of male is colorblind = 0.08 here geometric distribution  p(x=n) =…

Q: a. What is the probability that the random selected person is a female? b. What is the probability…

A: Given:   Total number of person=n(S) =347

Q: What is the probability that W is less than 5, that is, P(W < 5)?

A: Given that W = 15Y And b = 0.125

Q: 4. What is the probability of rolling a (a sum) of 5, or (a sum) of 6 or doubles? Let A be Let B be…

A:

Q: a. What is the probability that the length of stay in the ICU is one day or less (to 4 decimals)? b.…

A: Here given that stay in icu is exponentially  distributed  Here all required probabilities are in…

Q: In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60…

A:

Q: (a) If two dice are rolled, what is the probability that the sum of the upturned faces will equal 7?…

A: The number of cases where the sum of upturned faces = 6 Total number of outcome = 36   The…

Q: In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60…

A: The probability of union of two events A and B is given by, Where Union of event A and B is denoted…

Q: 4) The probability to select a man in a group of 20 people is 25%. You want to form a committee of…

A: Let X represent the number of man in committee n=5 p=0.25   X~ Binomial (5, 0.25)

Q: In a group of n people, (a) what is the probability that two or more persons will have the same…

A: In a group of n people, We need to find the probabilities:- a). Two or more persons will have the…