In all of the cases, quickly state whether the 2 events An and B are indpendent and why

(a) Roll two dice

? The chief fail miserably is a 1

? The resulting pass on is a 1

(b) Flip two coins

? The fundamental coin is a head

? The two coins are something practically the same

(c) Flip three coins

? The fundamental coin is a head

? The second and the third coins are tails

An association performs evaluation on shipments from suppliers to recognize nonconforming things. Expect that an extraordinary arrangement contains 1000 things and 1% are nonconforming. What test size is required so the probability of picking in any occasion something nonconforming in the model is at any rate 0.90?

Acknowledge that the binomial supposition to the hypergeometric movement is good.

Choose whether the going with conditions use subjective or nonrandom testing. By then, recognize what kind of discretionary or nonrandom analyzing technique is used. 1. Picked vehicles are organized by the last number of their plated as odd or even. 2. There are 30 new kids on the block, 20 sophomores, 10 adolescents and 5 seniors took on a particular course. 3. Minority social affairs of administrators are to be met. 4. Every five records out of 500 reports will be picked. 5. Animals persuading diverted to be taken note.

Perceive if each event are fundamental or compound. Create S if the event is essential and C if

compound.

__________1. Picking a King in a deck of cards.

__________2. Getting a "2" when rolling a pass on.

__________3. Turning a wheel diagram with numbers 1-10, and getting a "6".

__________4. Rolling a two or a four in a 10-sided fail horrendously.

__________5. Pulling any face card or a three of clubs from a standard deck of cards.

Let p, q, and r be the declarations

p: Grizzly bears have been found around there.

..4..

q: Hiking is secured on the way.

r: Berries are prepared along the way.

If p = 1.5% and n = 300, is the Poisson distribution a reasonable approximation of the binomial distribution? Oyes Ono What is the mean of this binomial distribution (and the mean of the Poisson distribution used to approximate it)? mean = What is the actual standard deviation of this binomial distribution? standard deviation (actual) = What is the standard deviation of the (approximate) Poisson distribution? standard deviation (approximate) = Are these values in reasonable agreement? Oyes O noIf p = 3.3% and n = 300, is the Poisson distribution a reasonable approximation of the binomial distribution? yes Ono What is the mean of this binomial distribution (and the mean of the Poisson distribution used to approximate it)? mean = What is the actual mean of this binomial distribution? standard deviation (actual) = What is the mean of the (approximate) Poisson distribution? standard deviation (approximate) = Are these values in reasonable agreement? yes OnoIf p = 1.2 % and n = 700, is the Poisson distribution a reasonable approximation of the binomial distribution? yes 0 no (56" What is the mean of this binomial distribution (and the mean of the Poisson distribution used to approximate it)? What is the standard deviation if the binomial distribution was used? Round to 2 decimals. standard deviation (actual) = What is the (approximate) standard deviation if the Poisson distribution was used? Round to 2 decimals. standard deviation (approximate) = If p=0.8%p=0.8% and n=700n=700, is the Poisson distribution a reasonable approximation of the binomial distribution? . yes . no What is the mean of this binomial distribution (and the mean of the Poisson distribution used to approximate it)? mean = What is the actual standard deviation of this binomial distribution? standard deviation (actual) = What is the standard deviation of the (approximate) Poisson distribution? standard deviation (approximate) = Are these values in reasonable agreement? yes . no