The probability of failure in a physics practical examination is 20%. If 25 batches of 6 students each take the examination, in how many batches of 4 or more students would pass?

Q: the two events are Mutually Exclusive Events, are they independent? Give me an example. Thanks.

A: Given that If two events are mutually exclusive then P(A and B)=0 If two events are independent then…

Q: A multiple choice examination has 20 questions. One point is awarded for each correct answer and 0.2…

A: 4. Given information: A multiple choice examination has 20 questions. One point is awarded for each…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 12.4…

A: From the provided information, Mean (µ) = 12.4 Standard deviation (σ) = 2.5 Sample size (n) = 46

Q: The table lists the number of deaths (in thousands) in a certain country during a particular year…

A: The table shows the number of deaths in a certain county during a particular year according to race…

Q: 2. You operate a polar research station; every morning, you send a radio message indicating which…

A: Given the 4 directions are coded as shown below 000, 110, 101, 011 The probability that each bit 0…

Q: 3.1.7A flu virus hits a company employing 180 people. Independent of the other employees, there is a…

A: From the provided information, Sample size (n) = 180 Probability of p = 0.35

Q: Suppose the pdf of X is given by = {1+² 0 f(x) = (1/3+²³ × 0≤x≤2 otherwise ✪ Derive F(x). Calculate…

A: Given,f(x)={18+38x; 0≤X≤20otherwise

Q: At a stop sign, some drivers come to a full stop, some come to a 'rolling stop' (not a full stop,…

A: male female total full stop 6 6 12 rolling stop 16 15 31 no stop 4 3 7 total 26 24 50

Q: Please send me answer within 10 min!! I will rate you good for sure!! Please solve all the parts…

A: Introduction In this answer, we will consider the problem of assigning 4 sets of pairs to 8 beds in…

Q: The table lists the number of deaths (in thousands) in a certain country during a particular year…

A: Given data:   W B I A H Row Totals F 1018 168 9 35 88 1318 M 1139 190 12 36 112 1489 Column…

Q: Men Women Boys Girls Total Survived 332 318 29 27   Died 1360 104 35 18   Total

A: Data given    men Women Boys Girls Survived 332 318 29 27 Died 1360…

Q: we developed new probability distribution to know the nature of data? Then explain how we know…

A: The probability distribution of a set of data gives us information about the likelihood of different…

Q: distribution is X 1 p(x) .30 2 3 4 .25 .15 .05 5 .10 6 .15

A: Let X be the random variable having probability mass function is,  X 1 2 3 4 5 6 P(X)  0.30…

Q: Discrete Probability:  Four dice are thrown, what's the probability that: a) None of them fall…

A: Given data : Four dice are thrown, what's the probability that: a) None of them fall higher than…

Q: you are thinking of selling your house and you reckon that there is a 0.1 probability that you will…

A: From the provided information, There is a 0.1 probability that you will sell your house for $120000,…

Q: Suppose f(x) = 0.125x for 0<x< 4. determine the mean and variance of X. Round your answers to 3…

A: Given that the pdf of x  f(x)=0.125x.     for 0&lt;x&lt;4 We have to find mean and variance of X:

Q: 2.6-9. One of four different prizes was randomly put into each box of a cereal. If a family decided…

A:

Q: A card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a red queen.

A: In a Deck of 52 cards  Number of red cards= 26  Number of queen cards= 4  Number of red queen cards=…

Q: Human blood can contain the A antigen, the B antigen, both the A and B antigens, or neither antigen.…

A: From the given information we make the following venn diagram

Q: plant a. Construct the probability distribution of the random variable, X, representing the number…

A:

Q: 2.2.8The bending capabilities of plastic sheets are investigated by bending sheets at increasingly…

A:

Q: If P(A A. B. C. D. B) = 0 A and B are independent events. P(A) + P(B) = 1 A and B are mutually…

A: given data  P(A∩B) = 0 we have to find correct statement from given options.

Q: Let A = {1,2,3,4,5}.  a. How many subsets of A are there? That is, find |P(A)|. b. How many…

A: a. The set A is given as, A = {1,2,3,4,5}.

Q: A study of the effects of smoking on sleep patterns is conducted. The measure observed is the time,…

A: by bartleby policy i can gives only 3 subparts answers at a time  Given data is  Smokers: 63.3 56.0…

Q: (a) How many outcomes are there? 12 outcome(s) (b) How many outcomes have both Bob and Jessica being…

A: The information provided in the question are as follows : Students running for president : Ann,…

Q: Question 4 of 14 > Suppose that a random variable Z has a standard normal distribution. Use a…

A: Given that.   X~N( 0 , 1)   μ=0     , ?=1   Z-score =( x - μ )/?

Q: For certain workers, the mean wage is $6.00/hr, with a standard deviation of $0.75. If a worker is…

A: Let X be the random variable from normal distribution with mean (μ) = 6.00, standard deviation (σ) =…

Q: Which probability is represented by x on the diagram? The probability that a no vote was cast by a…

A:

Q: (a) Let A and B be independent events with P[A] = 1/5 and P[B] = 1/4. Calculate P[An B] and P[AU B].

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: ✓runs (c) Suppose that six different experimental runs are to be made on the first day of…

A:

Q: Research by the Pew Research Center in 2008 shows that 71% of American teens own a cell phone and…

A: Let A be the event that American teens owns a cell phone and B be the event that American teens owns…

Q: Suppose the returns on long-term corporate bonds and T-bills are normally distributed. Assume for a…

A: Let X1 be the returns on long-term corporate bond. And X2 be the return on T-bills. Both the random…

Q: Company A will default with probability .01, company B will default with probability .05, and…

A: Given that. The event A is I will  buy a bond of Company A The event B is I will  buy a bond of…

Q: 7. A student club has twenty members: 6 seniors, 4 juniors, 5 sophomores, and 5 freshmen. (a) In how…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: A fair die is rolled eight times. Calculate the probability that there are: (a) Exactly five even…

A: Given that A fair die is rolled.  Note: nCx=n!/{x!×(n-x)!}

Q: To derive moment generating function, moment generating function, quantiles, incomplete moment…

A: Probability distribution function 1 Moment generating function 2 Quantiles 3 Shannon Entropy…

Q: In average fraternal (Dizygotic) twins (two fertilized eggs) occur once in 125 births and identical…

A:

Q: The age at which a given disease occurs in children is normally distributed with a mean of 10 years…

A: From the provided information, Mean (µ) = 10 Standard deviation (σ) = 1.5 X~N (10, 1.5)

Q: 16 18 18 26 33 41 54 56 66 68 87 91 95 98 106 109 111 118 127 127 135 145 147 149 151 168 172 183…

A:

Q: A tile is selected at random from 6 tiles. Each tile is labeled with a different letter from the…

A:

Q: A company's Office of Human Resources reports a breakdown of employees by job type and sex, as seen…

A: male female total management 7 6 13 supervisor 8 12 20 production 45 72 117 total 60 90…

Q: Suppose that 7 percent of men and 0.4 percent of women are color blind. A color blind person is…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer 1 question at a…

Q: A statistics professor wants to determine whether the average grade on Assignment 1 differs…

A: Answer:- Given, A statistics professor wants to determine whether the average grade on Assignment 1…

Q: For diseases X, Y, and Z, if two carriers of the disease have a child, the child has a .25 chance of…

A: Given that, The diseases are X,Y,Z If two carriers of the disease have the child the probability of…

Q: (a) B n H contains injuries.

A: We have to find the number of injuries for players having Concussions and wearing Half shield I.e…

Q: O Suppose we have a computer program consisting of n = 100 pages of code. Let X; be the number of…

A: Given that Sample size=n=100, Xi~Poisson(1)

Q: Lucca's Italian Sweets. Last year, Lucca's Italian Sweets (LIS) decided to enter the gelato market,…

A: Given Information: The company’s initial venture into the gelato market has been very successful.…

Q: 3. You roll a fair six-sided die three times. What is the probability that you roll three different…

A: here six sided die roll three time   so, above is sample space.   here suppose , event A : Roll…

Q: If a dealer’s profit, in units of $5000, on a newautomobile can be locked upon as a random variable…

A: Given that  Probability density function pdf is f(x) = 2x(1-x), 0&lt;x&lt;1,

Q: In a survey of 600 randomly selected consumers, 70 said they bought brand A cereal, 10 said they…

A: 70 bought brand A 10 bought brand B 50 bought brand C 470 bought nothing _______________________ 600…