According to some law in genetics, when certain types of peas are crossed, the probability that the plant yields a yellow pea is 0.75 and that it yields a green pea is 0.25. For a plant yielding 90 peas, find the approximate probability that at most 64 peas are yellow. Use the normal approximation with continuity correction.

Q: Let X1,.,X, be a random sample from Uniform(0,1). show that x converges in probability to µ.

A: # random variable Xi follow uniform distribution (0,1)  Mean(mu)=1/2  Var(xi)=1/12   i=1,2,3,.....n…

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Q: Suppose that 20% of the people in a large city have used a hospital emergency room in the past year.…

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A: Given that n = 500, p = 0.10 p(x<50) = ?

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Q: According to a Gallup poll, pepperoni is the favorite pizza topping for 31% of American children. If…

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Q: A)lf a grown man is picked at random and his QT interval measured, what is the probability of the…

A: Given X~ N(400, 20^2)  We want to find  (1) P(X>420)= ? (2) P(400<X<420)= ?  (3) P(X<a)=…

Q: Suppose that 53% of the population favors a particular candidate IP a Random sample of 55 voters is…

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A: Given A die is loaded in such a way that the probability of the face with j dots turning up is…

Q: When doing blood testing for a viral infection, the procedure can be made more efficient and less…

A: ANSWER:-  We have given that, the probability of an individual blood sample testing positive for the…

Q: Suppose a life insurance company insures the lives of 4000 women aged 50. If the actuarial studies…

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Q: The mean of the time it takes for a product to arrive from China is 60 days and the standard…

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Q: use the Chernoff bound to find la lower bound on the Probability that, # you roll afair die 360…

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Q: Suppose that 62% of all college seniors have a job prior to graduation. If a random sample of 95…

A:

Q: A survey reports that 53% of college students use Google as their search engine. If 100 students of…

A: Given,      n=100      P=0.53     Mean =nP     μ=100⁎0.53=53     Standard deviationσ=nP1-P…

Q: Assume that when adults with smartphones are randomly selected, 41% use them in meetings or classes.…

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Q: In a certain city of several million people, 7.6% of the adults are unemployed. If a random sample…

A: Given: n=230p=0.076 Normal approximation is used with mean μ=np and standard deviation σ=np1-p.

Q: For a continuous pdf, the probability of an exact value can be found . Is this true or false ?

A: Statement: For a continuous pdf, the probability of an exact value can be found     The continuous…

Q: A particular brand, X, is known to have a market share of 35%. Suppose that in a survey, 2000 consum…

A: Givenp=0.35n=2000By using normal approximationMean(μ)=n×p=2000×0.35=700standard…

Q: The amount of time it takes Marc to wait for the bus is continuous and uniformly distributed between…

A: Let x denote the waiting time for bus. X~U(3,14).

Q: A die is loaded in such a way that each odd number is twice as likely to occur as each even number.…

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Q: Assume that the mortality rate of a unicorn increases by 10% every year and assume that a proportion…

A: Given that the mortality rate of a unicorn increases by 10% every year and assume that a proportion…

Q: Suppose that you are watching people arriving at a doctor's office and they are arriving at an…

A: HERE GIVEN ,  Suppose that you are watching people arriving at a doctor's office and they are…

Q: nd the probability that the average length of a randomly selected bundle of steel rods is less than…

A: Given, μ=112.8σ=1.2 n=25

Q: If the probability is 0.20 that a certain bank willrefuse a loan application, use the normal…

A: Given that, n =225, p =0.20 The values of mean and standard deviation are,

Q: Suppose that 62% of all college seniors have a job prior to graduation. If a random sample of 85…

A: Given values, n = 85 p = 0.62 x = 49 To find : P(X <= 49)

Q: At an Ingo Armenia call center, calls come in at an average rate of one call every 4 minutes. Assume…

A: Given,A random variable X~Exponetial(λ=14)and the CDF of X isF(X)=P(X≤x)=1-e-xλ ; x≥0

Q: suppose that 62% of all college seniors have a job prior to graduation. If a random sample of 45…

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Q: Calculate the probability that in i consecutive rolls of the same die, a six is not rolled twice in…

A: We need to find here six is not rolled twice in row and a six is rolled on the last roll.

Q: Show that the Cauchy probability distribution does not have the first moment that is, E(X) does not…

A: The objective is to show the first moment does not exist for cauchy distribution

Q: According to American Airlines, Flight 215 from Orlando to Los Angelas is on time 90% of the time.…

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Q: Suppose that the length of long distance phone calls, measured in minutes, is known to have an…

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Q: Suppose that a new treatment is successful in curing a common ailment 69% of the time.  If the…

A: It is given that n = 75 and p = 0.69.

Q: Use normal approximation (without continuity correction) to estimate the probability of getting at…

A: From the given information, let X be the number of girl births. Total number of births n = 100.…

Q: 46 percent of students who made a resolution of passing college with high GPA achieved their…

A: From the provided information, Sample size (n) = 134 Probability (p) = 0.46 Using normal…

Q: Suppose that a new treatment is successful in curing a common ailment 60% of the time. If the…

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Q: Who determines the probability with impressive accuracy, that the binomial distribution converged to…

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Q: A random sample of size n = 225 is to be taken from an exponential population with θ = 4. Based on…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: 4.    The local news reported that 6% of U.S. drivers text on their cell phones while driving.  If…

A: Given : p = 6% = 0.06 q = 1-p = 0.94 n = 300 Let, np = (300)(0.06) = 18 and nq = (300)(0.94) = 282…

Q: The number of babies in a litter of rabbits is approximately Poisson distribution with mean 6.…

A: 1. From the given information, the mentioned random variable follows a poisson distribution which…

Q: 2. Cytomegalovirus (CMV) is a (generally benign) virus that infects one – half of young adults. If a…

A: Given problem Given that   Cytomegalovirus ( CMV ) is a ( generally benign ) virus that infects…

Q: The local news reported that 6% of U.S. drivers text on their cell phones while driving.  If 300…

A: Normal approximation to the binomial:From the given information, it is clear that sample size, n =…

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: It is given that p=0.52 and n=560.

Q: Each of the 6 tubes of a radio set has a life length (in years) which may be considered as a RV that…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.