a. .there are no restrictions? b. ..all the pies chosen are of the same type? c. ..all the pies chosen are of different types?

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A: From the provided information,

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A: For the given data Find ( a ) r =? ( b ) Hypothesis test ( c ) Least square regression model

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A: Given that  n=2 , p=60%=0.60 , q=1-p=1-0.60=0.40 X~Binomial(n=2,p=0.60)

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A: It is given that Sample size n = 10 Sample variance s2 = 2.5 Population variance = 1.4

Q: The continuous random variable X has a probability density function (pdf) given by [1- x for 0 ).…

A: Given the continuous random variable X with probability density function: f(x) =  1 - 12X      for…

Q: Suppose that X is a random variable * ? having the following p.d.f. , Find Var(x) { 2(1 – x) 0 < x <…

A: Given: f(x)=2(1-x) , 0&lt;x&lt;1 The formula to compute the mean is: V(x)=∫x2fx dx-∫xfx dx2

Q: 6. If one card is randomly selected from a deck of cards, find the probability of selecting a spade…

A: (6) In standard deck  Total No of cards=52 No of Face cards=12 No of spade cards=13 No of Face and…

Q: ii. Using the z-table, find the area and sketch the normal curve of the following. Show your…

A: Given that  Using the z-table, find the area and sketch the normal curve of the following. Show your…

Q: A sociologist is studying the prevalence of crime in one major city. In a. sample of 175 randomly…

A: Givenn=175x=49p^=xn=49175=0.280confidence level=95%

Q: 9. You are tasked to draw two cards from a deck without replacement. What is the probability of…

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

Q: 3. z - 2.79 4. z - 1.66 5. z = 0.12

A:

Q: 7. Construct a sub-divided bar diagram from the following data, regarding the number of stu- dents…

A:

Q: 11. Refer to the data below. What is the value of the second decile? The scores of 15 students are…

A: Arrange the given data in ascending order.72, 73, 74, 74, 77, 79, 79, 79, 80, 81, 82, 82, 83,…

Q: Find the probability of throwing a sum of 8 at least 2 times in 8 throws of a pair of fair 6-sided…

A: We have the  statement about  two dice Sample space =  S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)…

Q: a. Suppose that Natasha, Monim and Rehan are serving in a restaurant on roster shifting. On a…

A: From the Information Given: working day, Natasha, Monim and Rehan are responsible for doingthe job…

Q: Leo is a very average golfer. The probability that he hits a bad shot at any time is 0.4,…

A: Given that p =0.4 , n=5,k=1

Q: (a) State the null hypothesis Ho and the alternative hypothesis H. Ho : 0 H :0 (b) Determine the…

A: Given that  Hypothesized Population Mean (\mu)(μ) = 4040 Sample Standard Deviation (s)(s) =…

Q: (a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P…

A:

Q: Q2. (a) A bakery shops sells an average of 105 cakes per week (i) Find the probability that on a…

A: A discrete random variable X is said to follow Poisson distribution with parameter λ, if its…

Q: Angie, an owner of a pre-loved clothes shop wants to monitor her sales for the week. Based on her…

A: For any two sets A and B, union of A and B is the collection of elements that are present in either…

Q: Which of the following is used to represent the Continuous Random Variables?    a. Probability…

A: A real number assigns to each outcome of the random experiment is known as "Random variable". There…

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A: Given,mean(μ)=4000standard deviation(σ)=215sample size(n)=40

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A: Solution: The given sample sata is    Positive Test Result  Negative Test Result  Total…

Q: 1. A researcher claims that the United Nationalist Alliance (UNA) will win the election. A total of…

A: Given that  Sample size n =4300 Favorable cases x =2200

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Q: a. What is the probability that a person chosen at random purchases Brand X and is under 30 years…

A: here use given table    here use basic probability and bayed rule  probability  = #favorable…

Q: Construct the indicated confidence interval for the population mean u using the t-distribution.…

A: Given,x¯=14.1s=0.93n=12c=0.99degrees of…

Q: Q.5 From a lot of 2000 units, 20 units are drawn as a sample. To accept the lot, not more than 2…

A: The following information has been given: The lot size is N=2000. The sample size is n=20. The…

Q: vo sixes in a row. Your task =, required to roll two sixes init

A: To find the average of the two sixes in a row as,

Q: An average of 10 jobs per hour arrives at a job shop. Interarrival times of jobs are exponentially…

A:

Q: 1. For the last 10 years, a certain school in Visayas has a passing rate of 63.25% for the bar exam.…

A: We have given that p = 63.25% = 0.6325 n = 245

Q: When a message that is communicated via public communication networks is received, it must be…

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Q: Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 1.75 kg with a…

A: Given that  σ=0.37 , s=0.49 , n=19

Q: Suppose that the time (in hours) required to repair a machine is an exponentially distributed random…

A: The probability density function of exponential distribution is given by

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A: HERE Take  P(1)=Probability of Product produced by the Machine 1  P(2)=Probability of Product…

Q: bability of a 25-year-old and another 35-year-old living together for 10 years is 0.6. What is the…

A: Given: p (living between 25 to 35 years) = 0.6 q(dying before age 35) = 0.4 l25 = 54000 d25  - d30 =…

Q: An employee is selected from a staff of 10 to supervise a certain project by selecting a tag at…

A: Given that  Total tags=10 Sample space=S=(1,2,3,4,5,6,7,8,9,10) Number drawn less than 4=A=(1,2,3)…

Q: What do you call the set of all possible outcomes in an experiment?  a. Event   b. Random Variables…

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Q: Iranian researchers studied factors affecting patients' likelihood of wearing orthodontic…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Complete the table below by identifying the degree of freedom, right-tailed area and the t-value for…

A: Here use excel command for t value using percentile and df

Q: He then filled 80 simple white cups with soda, half diet and half regular, and asked each person to…

A: a. The hypotheses are given below: Null hypothesis: H0:p=0.5 Alternative hypothesis: H1:p≠0.5 Since…

Q: Which of the following is used to represent the Discrete Random Variables?    a. Probability Machine…

A: In probability and statistics, a probability mass function (pmf) is a function that gives the…

Q: The following probabilities for winning money playing a lottery game are posted on lottery's…

A: 9995 995 95 -5 1/61950 35/61950 116/61950 61798/61950

Q: 3. From their individual interview, Marcela claims that no more than 5% of the garments she sewed…

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Q: Fill in the blanks in a portion of life table given below. Age in years Px 4x Tx e 4 95,000 500…

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Q: Determine whether the events are independent or dependent then find the probability. Upload a photo…

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Q: Aynsleigh runs a business from home and ships items to her customers across the country. She…

A: Given,sample size(n)=50sample proportion(p^)=0.85