21 May WHAT IS THE PROBABILITY THAT AT LEAST ONE OF THE EARS PRODUCED BY THESE SEEDS HAVE SINGLE SPIKELET?
Forty percent of seeds from maize ears carry single spikelet, and the
other sixty percent carry paired spikelet. A seed with a single spikelet
will produce an ear with single spikelet 29% of the time, while a seed
with paired spikelet will produce an ear with paired spikelet 26% of the
time. Consider a random sample of n = 10 seeds.
(a) What is the probability that exactly five of these seeds carry a
single spikelet and produce an ear with a single spikelet?
(b) What is the probability that at least one of the ears produced by
these seeds have single spikelet?
(c) Would a Poisson approximation be appropriate in either (a) or (b)?
Why or why not?
2. Of all customers purchasing automatic garage door openers, only one
out of every 140 purchase an imported Swedish model. It is very costly
for the company to stock these and they want to determine whether to
keep the Swedish model on their shelves. A sample of n = 420
customers purchasing automatic garage door openers are asked about
their purchase. Let X = number of customers in the sample who
purchase the Swedish model.
(a) Identify the distribution of X along with its parameters.
(b) Identify a distribution that can be used to approximate the true
distribution of X. Verify conditions for the approximation to be valid.
(c) Regardless of your conclusion in (b), use the approximation to
calculate the probability that more than 2 customers by the Swedish
model.
1
3. A geologist has collected 150 specimens of basaltic rock and 50
specimens of granite. The geologist instructs a laboratory assistant to
randomly select 8 specimens for analysis. Let Y = number of selected
specimens that are granite.
(a) What is the distribution of Y ? Identify all relevant parameters and
write down the pmf.
(b) Calculate E (Y ) and SD (Y ).
(c) Calculate (using the true distribution) P (Y 1).
(d) Suggest a distribution that can be used to approximate the true
distribution of Y . Verify any conditions necessary for the approximation
to work.
(e) Regardless of your conclusion in (c), use the suggested
approximation to calculate P (Y 4).
4. Let X denote the number of tornados occurring in a specific region in
2015. Assume X has a Poisson distribution with expected value 5.
(a) What is the variance of X?
(b) Calculate P (X 4).
(c) Calculate P (X 4jX 2), the probability that there will be 4 or more
tornadoes given that there are at least 2 tornadoes.
Our website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Ask A Question and we will direct you to our Order Page at WriteDemy. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Fill in all the assignment paper details that are required in the order form with the standard information being the page count, deadline, academic level and type of paper. It is advisable to have this information at hand so that you can quickly fill in the necessary information needed in the form for the essay writer to be immediately assigned to your writing project. Make payment for the custom essay order to enable us to assign a suitable writer to your order. Payments are made through Paypal on a secured billing page. Finally, sit back and relax.
About Writedemy
We are a professional paper writing website. If you have searched a question and bumped into our website just know you are in the right place to get help in your coursework. We offer HIGH QUALITY & PLAGIARISM FREE Papers.
How It Works
To make an Order you only need to click on “Order Now” and we will direct you to our Order Page. Fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Are there Discounts?
All new clients are eligible for 20% off in their first Order. Our payment method is safe and secure.