A certain segment of the sky contains z stars each star is, Ask an Expert

Statistics

A certain segment of the sky contains Z stars. Each star is either a red giant with probability 1/3 or a white dwarf with probability 2/3, independently from the other stars.

(a) If we condition on the event {Z = 4}, what is the joint p.m.f. of the red giants X and the white dwarves Y ? Fill in a 5 × 5 table with the (f (x, y))4x,y=0 values.

(b) Show that if Z ? POI(6), then the random variables X and Y are independent and have Poisson distribution by calculating the joint p.m.f. of X and Y.

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91013892

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

Assume that from a random sample of 18 trees a researcher

Assume that from a random sample of 18 trees a researcher found that the average height of the trees was 4.3 meters with a standard deviation of 0.25 meters. Assume that the distribution of the heights of these trees is ...

The number of phone calls that arrive at a phone exchange

The number of phone calls that arrive at a phone exchange is often modeled as a Poisson random variable. Assume that on average there are 7 calls per hour. Show all work. a) Find the probability that there are exactly f ...

1 assume that the international average homicide

1) Assume that the international average homicide victimization rate is 2.92 (per 100,000). In a sample of 24 industrialized nations, LaFree and Drass (2002) found that the mean homicide victimization rate was 1.49 (per ...

Penney wishes to borrow 75000 today for the purchase of

Penney wishes to borrow $75,000 today for the purchase of bakery equipment. She have an agreement with their commercial banker that she can borrow money at an annual rate of 7.75%. How much will she owe if she repay the ...

A lumber grading system is known to be defective 20 of the

A lumber grading system is known to be defective 20% of the time. Normally, 20% of the lumber that passes through is rejected, but when it is defective, 50% of the pieces are rejected. In either case, pieces that are acc ...

A process is normally distributed with a mean of 104

A process is normally distributed with a mean of 104 rotations per minute and a standard deviation of 8.2 rotations per minute. If a randomly selected minute has 128 rotations per minute, would the process be considered ...

Assume 20 of customers who enter a clothing store make a

Assume 20% of customers who enter a clothing store make a purchase and customers behave independently of one another. Ten customers enter the store in the next hour. The salesman on duty makes $20 per hour plus a $10 com ...

A particular brand of tires claims that its deluxe tire

A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of th ...

The revenue function rx and the cost function c9x for a

The revenue function R(x) and the cost function C9X) for a particular product are given. These functions are valid for the specified range of values. Find the number of units that must be produced to break even. R(x) =20 ...

Lets pretend that in a hospital 7 of patients are high-risk

Let's pretend that in a hospital, 7% of patients are "high-risk" while the others are "lower-risk". For patients that are high-risk, 75% will be re-admitted within 30 days. For "lower-risk" patients, the 30day re-admitta ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert