A choice answer exam (4 choices per question) has 10 questions. A student who has not studied at all randomly answers all questions independently. a) What grade can he expect? With what standard deviation? b) What is the probability that he has exactly 7 correct answers? c) What is the probability that he obtains at least 60% on this exam?

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A: Given:. This means that on average, we expect to find 3 bacteria in each cubic centimeter of…

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A: Here the given table is:-Employee value probability $…

Q: Random variable X is independent of random variable Y, and X-B(10,

A: Given that X is independent of random variable Y.

Q: Question 11 Suppose that in one area in California, 70% of all homeowners are insured against…

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Q: For a recent period of 100 years, there were 530 Atlantic hurricanes a) State the distribution, the…

A: For a recent period of 100 years , There are 530 Atlantic hurricanes , So ,λ = 530/100 = 5.3 per…

Q: Calculate the mean, the variance, and the standard deviation of the following discrete probability…

A: The probability distribution of discrete random variable X is given.

Q: Atian, Sam, Phuong, Mike, and Tariq are competing with ten other boys to be on their school's…

A: The provided information is as follows:Atian, Sam, Phuong, Mike, and Tariq are competing with ten…

Q: The data show the number of points the winning team scored in a college football bowl game. Find the…

A: The frequency distribution of points the winning team scored in a college football bowl game, is…

Q: What is the probability that exactly 8 women will wear sunscreen when outside for more than one…

A: The proportion of women who use sunscreen regularly(P)=30%=0.30Sample size is taken(n) =12Note: Only…

Q: Determine za for the following values of a: a = .0055 b. a = .09 α = .663 a. C.

A: From the provided information,The values of  are as follow:a)b)c)

Q: Given a standard normal distribution, determine the following probability. Round the solution to…

A: The standard normal table (or) z score table values, provides the area values under the normal curve…

Q: A pair of random variables (X,Y) have a joint PDF defined as follows: 0.5, inside the triangle…

A: 1. This requires integrating the joint PDF   over the region of interest.Given the triangle's shape,…

Q: A poker hand consists of 5 cards randomly drawn from a full deck of 52 without replacement.   • What…

A: From the given information,a poker hand consists of 5 cards randomly drawn from a full deck of 52…

Q: Let S be a sample space consisting of two points a and b. Define a uniform probability measure on S…

A: As per the guidelines of the Bartleby, solution of only first 3 parts are given.

Q: A car manufacturer is concerned about poor customer satisfaction at one of its dealerships. The…

A: Given that 70% of the dealer's customers report favorably on satisfaction surveys.

Q: Suppose that scores on an exam are normally distributed with mean 80 and standard deviation 5, and…

A: It is given that scores on an exam are normally distributed with a mean of 80 and a standard…

Q: Please do this ‘short answer’ problem and make sure to provide a brief explanation: States k and j…

A: Transient: A state is transient if there is a non-zero probability of never returning to the state…

Q: The following data are SAT scores for entrance into UT and OU. We want to know if the dispersion of…

A: To test:H0: Dispersion of SAT scores is equal for the two schools i.e., V(OU) = V(UT), where V(.) is…

Q: Use the data in the following table, which lists drive-thru order accuracy at popular fast food…

A: The frequency table corresponding to drive thru order accuracy of fast-food chains given.

Q: Let X and Y be discrete random variables that take the values 1,2, ... N with equal probability,…

A:

Q: The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been…

A: Let sunny day is the state 0, cloudy day state 1 and rainy day state 2.Given that:• if it is sunny…

Q: Christopher and Jade each have a bouquet of flowers (the two bouquets are distinguishable).…

A:

Q: 1. Assume that P(A) = 0.6, P(B) = 0.3, P(ANB) = 0.1 a.) What is the probability that A or B occurs?…

A: Given that: , , &

Q: Medical Operations The director of a medical hospital feels that her surgeons perform more…

A: From the provided information,

Q: The use of​ drones, aircraft without onboard human​ pilots, is becoming more prevalent. According to…

A: According to the given information,Probability of success, p = 55% = 0.55Sample size, n = 60Let X be…

Q: Medical Operations The director of a medical hospital feels that her surgeons perform more…

A: we have given that random sample =n=15

Q: In a study of recognition of the brand name Mrs. Fields cookies, out of the 50 adults in the study…

A: From the given information,out of 50 adults in the study, it was found that 35 recognized the brand…

Q: Use the probability distribution to complete parts (a) and (b) below. The number of school-related…

A: Suppose  be the number of school-related extracurricular activities per student.The probability…

Q: In the city of AZ, there are two supermarkets, X-Mart and Y-Mart. It is assumed that every shopper…

A: In a study, 100 samples of shoppers were taken over 10 weeks. From the study, it is known that if a…

Q: Brandybuck Insurance Company (BIC) is deciding whether to insure the lives of those leading a quest…

A: It is needed to find the expected value of this insurance policy to the company.

Q: probability that both cards have rank no higher than 10, and at least one of the cards is red?

A: Suppose you select a card uniformly at random from a standard deck, and then without putting it…

Q: a.) Find the probability distribution. b.) Find the mean of the probability distribution. c.) Find…

A: Given ,Suppose three fair coins are flippedSample Space (S) :The set of all possible distinct…

Q: A genetic experiment with peas resulted in one sample of offspring that consisted of 424 green peas…

A: From the provided information,One sample of offspring that consisted of 424 green peas and 158…

Q: Assume the random variable x is normally distributed with mean μ=50 and standard deviation σ=7.…

A: Given,Mean, μ = 50Standard deviation, σ = 7Using formula,And we use standard normal table to find…

Q: A game consists of tossing a fair coin 3 times. Let random variable W denote the number of heads…

A: From the given information,W denotes the number of heads,Z denotes the winnings earned in a single…

Q: a group of ten residents in a certain county, 3 are Republicans, 5 are Democrats, and 2 are…

A: It is given that, There are a group of ten residents in a certain county in which 3 are Republicans,…

Q: A poker hand consists of 5 cards randomly drawn from a full deck of 52 without replacement.   • What…

A: Combinatorics:Understanding of permutations and combinations.Knowledge of the combination formula,…

Q: A couple plans to have three children. What is the probability that a) they have all girls? b) they…

A: According to the given information,Total number of children, n = 3We know that, probability of girl…

Q: For each following experiment, determine if it is binomial. If this is the case, determine the value…

A: Given are 5 different experiments and we want to know if they are binomial.

Q: The probability distribution of the discrete random variable X is given below. 3 5 3 -(u)()(%). 8 8…

A: The discrete random variable X is given as:

Q: Suppose we only have set cards which are green and whose shapes are ovals. What is the smallest…

A: Here we only have set cards which are green and whose shapes are ovals.Then, we have to find the…

Q: About 2% of the bulbs produced by a company data are defective. A merchant receives a lot of 500 of…

A: n=500p=0.02

Q: 23. The average number of available jobs for registered nurses is 103,900. If this distribution is…

A: It is given that Mean = 103900Standard deviation = 8040

Q: Let the joint pdf for the continuous random variables X and Y be: f(x,y) = { 6x2 ; 0 0.8 | X =…

A: (i) To find P(X=0.6, Y=0.6), you need to calculate the probability that both X and Y equal 0.6.…

Q: Suppose you roll a special 11-sided die. What is the probability that the number rolled is a "1" OR…

A: A special 11- sided die is rolledSo sample space would be:S={1,2,3,4,5,6,7,8,9,10,11}n(S)=11

Q: The distribution of hourly wages of employees of the TNON company obeys a normal law whose average…

A: The distribution of hourly wages of employees of the TNON company obeys a normal law the average…

Q: Perform a hypothesis test to determine the validity of a claim.  From a sample of 30 grandparents,…

A: A hypothesis test to determine the validity of a claim.

Q: Instruction: There are situations listed below. You should identify what sampling design is used on…

A: The sampling design used in this case is stratified multi-stage cluster sampling.Region IV, which is…

Q: NHL Assists and Total Points A random sample of scoring leaders from the National Hockey League…

A: AssistsTotal points59109681014495659467916989The objective is to test whether there is a significant…

Q: According to her doctor, Mrs. Perez's cholesterol level is higher than only  5% of the females aged…

A: μ=225,σ=25