A Math exam has 30 multiple choice questions, each with choices from Dað to DeD where each question has only one correct answer. A randomly selected student did not study and must guess on each question. a. Find the expected number of correct answers b. Find the exact probability of answering at least 1 question correctly out of 30 questions (Round your answers to four decimal places.) c. Use Normal approximation to estimate the probability that the student answers at least 40% of the questions correctly (Round your answers to four decimal places.)

Q: a)show 6) Sop

A: a). It is known that, CovX,Y=EXY-EXEY... (1)EXY|X=X×EY|X...(2)EEX|Y=EX....(3) Now, CovX,EY|X=EX.EY|X...

Q: c) Fifty financial experts were asked to give their opinion on the anticipated growth in Gross Domes...

A: Given: The expected percentage of growth from the experts are, Growth(%) Number of experts 2 ...

Q: Probability of getting COVID-19 virus in a community is 0.03. If i sequentially taken at random and ...

A: (As per bartleby guidelines, for questions containing multiple subparts, only first three subparts w...

Q: there are 35 cards, numbered 1 to 35, in a box. 2 cards are drawn, 1 at a time, with replacement. de...

A: Given : There are 35 cards, numbered 1 to 35, in a box. Probability of drawing 2 multiples of 10, th...

Q: Wattage Good Defective Total A quality control inspector is checking a sample of lightbulbs for defe...

A: Obtain the probability that the light bulb is defective.   The probability that the light bulb is de...

Q: According to a study, 50 percent of men and 56.3 percent of women have attached left earlobes. Consi...

A: It is given that the elder child is a girl with attached left earlobe. For other two children , the ...

Q: An urn contains a total of 12 chocolates, out of which 4 are milk and the remaining are dark. Suppos...

A: Total chocolates= 12 Dark chocolates= 8 Milk chocolates = 4  PM=412=13PD=812=23 A sample of 5 chocol...

Q: According to the chart below What is the probability that a randomly selected household will have 4 ...

A: Given:

Q: A car owner determines that annual repair costs (R) can be estimated based on the number of miles dr...

A: Given Data: R=800+0.05M   E(M)=12000 SD(M)=2500

Q: In the Ist year, a studet obtained 90, 95, 80, 70, 85, 85, 80 and 80 marks in eight subjects. In the...

A: Given information: Determine the mean and standard deviation of the given sample using the excel tab...

Q: A circuit operates as long as there is a functional path, which does not include any dysfunctional (...

A:

Q: A survey of 221 SPC students was taken at registration. Of those surveyed: 62 students had signed u...

A: Let us denote M=Math, A=Arts course, H=Humanities course Given that: n(M)=62, n(A)=53, n(M∩A)=25, n(...

Q: A bag contains 25 gumballs in total.  There are 6 blue gumballs, 7 green gumballs, 4 red gumballs, 3...

A: It is an important part of statistics. It is widely used. 

Q: Suppose that P(A)=0.3, P(B)=0.2, and P(C)=0.1. Further, P(AUB)=0.44, P(A^cC)=0.07, P(BC)=0.02, and P...

A: Given : P(A) = 0.3, P(B) = 0.2, and P(C) = 0.1 P(A U B) = 0.44, P(A^c C) = 0.07, P(BC) = 0.02, and ...

Q: Mr. Owusu a pensioner of ECG operates one of the biggest Electrical stores in Accra. The store has o...

A: a). Here is the system for 10 customers: Customer No. Interarrival Time Arrival Time Service Time...

Q: Given 3 dice each with the numbers 1 through 6 but with probabilities as follows : Die I: f(x)=1/6 D...

A: Let 'x' denotes the number that appear on the chosen dice. Note that the selection of a dice is equa...

Q: Probability Question required solution

A: Let X be a random variable. The probability density function is given as:                           ...

Q: Each student has an ID number consisting of 5 digits ( the first digit is non-zero, and digits can b...

A: Number of digits in the ID number = 5 Since first digit is non-zero, the number of possibilities for...

Q: sara went to a store spent half of her money and then spent php 100 more. she went to a second store...

A: Consider that Sara has php 'x' in the beginning. The expenditure at the first store is, E1=x2+100 Th...

Q: A box contains 16 white and 16 black marbles. Construct a sample space for the experiment ofrandomly...

A: Given: Let W represents the event of white marble. Let B represents the event of black marble. The n...

Q: 25000 bolts are going to be used to fix a certain structure. The bolts have a mean fatigue life of 1...

A: Hello. Since you have asked multiple questions, we will solve the first question for you. If you wan...

Q: A component may come from any one of three manufacturers with probabilities p1=0.25, p2=0.50, and p3...

A: Given that: Probabilities of coming from the 3 manufacturers are respectively: p1=0.25,  p2=0.5,  p3...

Q: An analyst is presented with lists of 4 stocks and 5 bonds. He is asked to predict, in order, the 2 ...

A: An analyst is presented with lists of 4 stocks and 5 bonds. The 2 stocks that will yield the highest...

Q: Question 7. Daily sales records for a car dealership show that it will sell 0, 1, 2, or 3 cars, with...

A: Given,  

Q: A slot machine has 3 dials. Each dial has 30 positions,one of which is "jackpot". To win the jackpot...

A: We need to recall that odds of winning the jackpot is given by: probability of winning the jackpotpr...

Q: i roll three ordinary 6 sided dice what is the probability of getting 5 on one of the dice and at l...

A: Given, We have rolled 3 fair dices.  The probability of getting 5 on one of the dice and at least on...

Q: Please show step by step explanation. Thank you. When P(A) = 1/3, P(B) = 1/2, and P(A ∪ B) = 3/4, ...

A: 1. For any two events A and B, it is known that P[A ∪ B] = P[A]  + P[B] – P[A ∩ B].

Q: 1. What is the area of the triangle with base of 6 mm and a height of 9 mm o) 15 mm b) 27 mm? c) 54 ...

A: Given data,Base (b)=6mmHeight (h)=9mmArea of triangle=?

Q: the  sample space  is {p,q,r,s,t,u,v } with the foll prob  0.1,0.05,0.2,0.3,0.15,0.1 and0.1  L=event...

A: we have given that, the  sample space  is {p,q,r,s,t,u,v } with the following probabilities  0.1,0.0...

Q: The joint probability density function of X and Y is given by 6 ху fxy (x, y) = (x² +) 0 <x < 1, 0 <...

A: Given information: The two random variables X and Y has a joint density function as: fXYx,y=67x2+xy2...

Q: A4. Of the students in the college, 60% of the students reside in the hostel and 40% of the students...

A: Given: Let H be the event of students residing in hostel. Let D be the event of students who are day...

Q: Suppose an outfit consists of a shirt, pants, and shoes. If you have 4 shirts, 7 pairs of pants and ...

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

Q: How to work this? When the members of a family discussed where their annual reunion should take plac...

A: Let us define the events as, P = Members of family to go park B = Members of family to go beach F = ...

Q: matching question

A:

Q: A player receives 250 pesos if the results of tossing three coins are all heads or all tails. On the...

A: The sample space for the tossing three coins is, S=HHH,HHT,HTH,TTH,THT,THH,HTT,TTT n=8 Each of these...

Q: Size of U.S. States The total surface area (in square miles) for each of six selected Southern and N...

A: The total surface are of six selected state of northern and southern is, Southern states Area (s...

Q: Eighteen telephones have just been received at an authorized service center. Six of these telephones...

A:

Q: A distributor receives a large shipment of components. The distributor would like to accept the ship...

A: Provided information is, a distributor receives a large shipment of components. The distributor woul...

Q: Consider an urn containing seven red marbles and three black marbles. You are instructed to draw out...

A: From the given information, Total marbles = 10 Number of Red marbles =7 Number of black marbles =3 T...

Q: Let the weights of 1 kg tea boxes filled with an automatic machine have a normal distribution with a...

A: Given data, mean=1.03 sd=0.02

Q: The CDF of continous random variable X is 0, for a 3 A. 7/4 B. 16/27 C. 11/27 select 1. P(2 <I< 3) ...

A: It is known that Fx=PX≤x Then,P2≤X≤3=PX≤3-PX≤2=F3-F2=19232-333-19222-233=1918-9-198-83=1-1627=1127

Q: Rajani can ride her skateboard 2 miles in 10 minutes. How many miles can she ride her skateboard in ...

A: Answer is 12 miles  (because 2*6= 12 and 10*6= 1 hour) 

Q: Suppose that the mean hourly wage of all employees in a large semiconductor manufacturing facility i...

A: Given data,μ=50σ=10If n=256 thenP(48&lt;X&lt;52)=?

Q: I = 8

A:

Q: The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0...

A: Given : x~U50.0, 52.0 we have to find, P50.5&lt;X&lt;51.9

Q: Explain with details. Ty

A: The probability distribution of the data is, Value of x of X P(X=x) -5 0.10 3   4   5 0....

Q: Please solve step by step.

A: The following table is obtained: Categories Observed Expected (fo-fe)2/fe One 4 48*0.16666=8 (4...

Q: The probability density function of a random variable X is given by   Find the probability that it w...

A: It is an important part of statistics. It is widely used. 

Q: A) Of the students in the college, 60% of the students reside in the hostel and 40% of the students ...

A: It is an important part of statistics. It is widely used. 

Q: There were 8 brand new laptops delivered to a retail outlet. Of the 8 laptops, 3 are defective. If a...

A: Total number of laptops n=8 Total number of defective laptops =3 There are 8-3=5 working laptops. Th...

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.