Exercise 1: Let Y be a binomial distribution of parameters n = 10 and p =...
Exercise 1:
Let Y be a binomial distribution of parameters n = 10 and p = 0.4.
Determine the normal approximation for:
a) P (Y ≥ 7)
Exercise 2:
The quality control of an automobile manufacturer accuses 1% of
failures in the process of antioxidant protection of bodywork of
the vehicles it produces. Calculate the probability that:
a) none of the 100 vehicles ordered by a dealership has the
aforementioned failure;
b) only one vehicle has the fault mentioned in a group of 200
vehicles inspected.
Exercise 3:
A machine produces 0.2% of defective parts. Calculate the
probability that a box with 50 pieces produced by this machine will
contain:
a) no defective parts;
b) exactly a defective part
Homework Answers
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Exercise 1:
Let Y be a binomial distribution of parameters n = 10 and p =...
3) SupposexxX () is a random sample from Bernoulli distribution wi Qwestlon pmL p(x) = p,...
3) SupposexxX () is a random sample from Bernoulli distribution wi Qwestlon pmL p(x) = p, (l-p)'-. , x-0,1, . then follows ( ). ndividual was cie ANormal distribution N(np,np(a-p) D Binomial distribution Bin.p) Dean not be determined. Poisson distribution P(np) (1). Fimd a,suc (2) Write out d uppose X~NCO,1) and Y-NC2.4), they are independent, then is incorrect. expected am X + Y-N(2, 5) X-Y-N(-2,5) ⓝPCY < 2) > 0.5 DVarx) Vary is a random sample from N(H, let x...
Let X have a binomial distribution with parameters n 25 and p. Calculate each of the following probabilities using...
Let X have a binomial distribution with parameters n 25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for the cases p-0.5, 0.6, and 0.8 and compare to the exact binomial probabilities calculated directly from the formula for b(x;n, P). (Round your answers to four decimal places) (a) P15 s X 20) P P(1S s Xs 20) P(14.5 S Normal s 20.5) 0.5 0.6 0.8 The normal approximation of P(15 s X...
If Y is a binomial random variable with parameters n=60 and p=0.5, estimate the probability that...
If Y is a binomial random variable with parameters n=60 and p=0.5, estimate the probability that Y will equal or exceed 45 using the Normal approximation with a continuity correction.
7. If Y has a binomial distribution with parameters n and p, consider p = (Y + 1)/(n+2) as an est...
Please answer as neatly as possible.
Much thanks in advance!
7. If Y has a binomial distribution with parameters n and p, consider p = (Y + 1)/(n+2) as an estimator of p. Is p a consistent estimator for p? Is p an asymptotically unbiased estimator for p?
7. If Y has a binomial distribution with parameters n and p, consider p = (Y + 1)/(n+2) as an estimator of p. Is p a consistent estimator for p? Is p...
Exercise 2.37 If X has the binomial distribution with parameters n and p- 1-q, show that...
Exercise 2.37 If X has the binomial distribution with parameters n and p- 1-q, show that E(X) = np, E(X2) = npq + n2 p2. and deduce the variance of X
suppose that P(Yi=1)=1-P(Yi=0)=0.8,i=1,...,10, where Y1,...Y10 are independent. Let Y=Y1+...+Y10. Then the distribution of Y is Binomial...
suppose that P(Yi=1)=1-P(Yi=0)=0.8,i=1,...,10, where Y1,...Y10 are independent. Let Y=Y1+...+Y10. Then the distribution of Y is Binomial with mean 2. Does the above statement correct and explain why? Thank you.
n-Class Exercise 1 Instructions: Submit your work through Blackboard by the due date. Late submissions are...
n-Class Exercise 1 Instructions: Submit your work through Blackboard by the due date. Late submissions are not allowed. You can take photos of or scan your solutions Calculate or write the formulas for each test statistic and p-value for each hypothesis test question (questions 7-10). It is true you will never have to calculate these in real life, however, you should know what Megastat, or any other statistical software, is calculating. 1) According to an IRS study, it takes a...
3) SupposexxX () is a random sample from Bernoulli distribution wi Qwestlon pmL p(x) = p, (l-p)'-. , x-0,1, . then follows ( ). ndividual was cie ANormal distribution N(np,np(a-p) D Binomial distribution Bin.p) Dean not be determined. Poisson distribution P(np) (1). Fimd a,suc (2) Write out d uppose X~NCO,1) and Y-NC2.4), they are independent, then is incorrect. expected am X + Y-N(2, 5) X-Y-N(-2,5) ⓝPCY < 2) > 0.5 DVarx) Vary is a random sample from N(H, let x...
Let X have a binomial distribution with parameters n 25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for the cases p-0.5, 0.6, and 0.8 and compare to the exact binomial probabilities calculated directly from the formula for b(x;n, P). (Round your answers to four decimal places) (a) P15 s X 20) P P(1S s Xs 20) P(14.5 S Normal s 20.5) 0.5 0.6 0.8 The normal approximation of P(15 s X...
Please answer as neatly as possible.
Much thanks in advance!
7. If Y has a binomial distribution with parameters n and p, consider p = (Y + 1)/(n+2) as an estimator of p. Is p a consistent estimator for p? Is p an asymptotically unbiased estimator for p?
7. If Y has a binomial distribution with parameters n and p, consider p = (Y + 1)/(n+2) as an estimator of p. Is p a consistent estimator for p? Is p...
Exercise 2.37 If X has the binomial distribution with parameters n and p- 1-q, show that E(X) = np, E(X2) = npq + n2 p2. and deduce the variance of X
n-Class Exercise 1 Instructions: Submit your work through Blackboard by the due date. Late submissions are not allowed. You can take photos of or scan your solutions Calculate or write the formulas for each test statistic and p-value for each hypothesis test question (questions 7-10). It is true you will never have to calculate these in real life, however, you should know what Megastat, or any other statistical software, is calculating. 1) According to an IRS study, it takes a...
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