It is advisable to have working smoke detectors in your apartment. In fact, JJ Smoke Detectors...

It is advisable to have working smoke detectors in your apartment. In fact, JJ Smoke Detectors Advisors (JJSDA) analyzes the numbers of smoke detectors in apartments. Suppose X is the number of smoke detectors in a randomly selected apartment. Then according to JJSDA, x has the following probability mass function, p(x), and cumulative distribution function F(x).

x	0	1	2	3	4	5
p(x)	.119	.171	.35	.20	b	.03
F(x)	.119	a	.640	.840	.970	1.00

a. If F is the cumulative distribution function of x, then what is the value of a?
b. If p is the probability mass function for x, then evaluate b. c) What is the expected value of x <_>
c. What is the expected value of x?
d. Calculate the standard deviation of x.
e. What is the variance of .5x?
f. JJSDA checks 9 apartments on a Tuesday. What is the probability that there are exactly 3 smoke detectors in exactly 3 of the checked apartments?
g. JJSDA checks 5 apartments on a Wednesday. What is the probability that all 5 of those apartments have at least 2 smoke detectors?
h.What is the expected value of

x³

Add any comments below.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

ABC smoke detector manufacturer claims their smoke detectors can last with average of 105 months and...

ABC smoke detector manufacturer claims their smoke detectors can last with average of 105 months and standard deviation is 10 months. A consumer agency wants to test if the smoke detectors cannot last 105 months. A sample of 36 smoke detectors were tested with the mean of 100 months. Use the 5 percent level of significance, can the consumer agency proof the smoke detectors cannot last 105 mouths

Part 1: Our smoke detectors safe? Part 2: Radon gas is in an insert gas that...

Part 1: Our smoke detectors safe? Part 2: Radon gas is in an insert gas that is not toxic or poisonous, but is radioactive and emits alpha particles. Why is radon dangerous? Part 3: What are the advantages and problems with nuclear energy? Background information: The modern theory of the atom is that the atom consist of a nucleus of protons and neutrons. Electrons surrounding the nucleus, not as particles orbiting the nucleus, but as standing matter waves like the...

If is the fact that 13.7% of American adults smoke cigarettes. If 25 American adults were...

If is the fact that 13.7% of American adults smoke cigarettes. If 25 American adults were chosen at random, what is the probability that at most 7 of them smoked cigarettes?

Waylon purchased a small apartment building in a working class neighbourhood.

Waylon purchased a small apartment building in a working class neighbourhood. Much to his annoyance, Waylon is required to purchase certain types of property insurance for the building. He decides to purchase a basic fire insurance policy. One-year later, the building is hit by a meteorite. Which of the following is not covered by Waylon's insurance policy? a) fire b) lightning c) specified types of explosions d) falling objects

You have identified the fact that a few children in your class and some who are...

You have identified the fact that a few children in your class and some who are yet to be enrolled have positively deviated from the norm. There is therefore the need for you to plan separate programmes so that these children can as well, be accommodated for them to benefit from teaching and learning. Identify and explain any five (5) programmes you can put in place for such children to also benefit from teaching and learning.

QUALITATIVE ANALYSIS: It is advisable to document all your work and calculations as applicable. The following...

QUALITATIVE ANALYSIS: It is advisable to document all your work and calculations as applicable. The following are data available for Blue Grass & High Weed for the month of June: Sales 1200 units Beginning Inventory 300 units @ 2.00 Purchases in Chronological order 600 units @ 2.10 400 units @ 2.20 500 units @ 2.30 A) Calculate cost of goods sold and ending inventory under the following cost flow assumptions: 1) Weighted average 2) FIFO 3) LIFO B) Assume net...

Do you have a smoke-free restaurant law in your community? What consideraions led to the development...

Do you have a smoke-free restaurant law in your community? What consideraions led to the development of such laws in communities that have adopted them? what are three policy implications of smoke-free restaurant laws?

QUANTITATIVE ANALYSIS: It is advisable to document all your work and calculations as applicable. (1) Consider...

QUANTITATIVE ANALYSIS: It is advisable to document all your work and calculations as applicable. (1) Consider the following account balances in thousands for the Yankee Company for the year ended December 31, 2019: Direct Materials Inventory, Beginning $58,000 Direct Material Inventory, Ending $32,000 Work in Process, Beginning $38,000 Work in Process, Ending $16,000 Finished Goods Inventory, Beginning $29,000 Finished Goods Inventory, Ending $12,000 Direct Materials Purchased $99,000 Direct Labor $94,000 Indirect Labor $14,000 Plant insurance $29,000 Other insurance $18,000 Salaries...

The Canadian Government is considering building apartment units for its employees working in a foreign country....

The Canadian Government is considering building apartment units for its employees working in a foreign country. These employees are currently living in rental houses owned by local landlords. Currently, the government reimburses the employees their housing and transportation expenses. Two mutually exclusive locations for building the apartments, are shown in the following data: LOCATION A LOCATION B Original Investment by the Government $8,000,000 $10,000,000 Estimated Annual Maintenance Expenses $360,000 $350,000 Government Savings in annual Reimbursements $1,960,000 $2,100,000 Assume the...

In a certain population, 25% of the person smoke and 7% have a certain type of...

In a certain population, 25% of the person smoke and 7% have a certain type of heart disease. Moreover, 10% of the persons who smoke have the disease. What percentage of the population smoke and have the disease? What percentage of the population with the disease also smoke?

Subjects