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five coins are tossed let g be the random variable representing the number of heads that occur. find the values of the random variable g
2. automobile leasing: a car leasing agency purchases new cars each year for use in the agency. the cars cost $15000 new. they are used for 3 years after which they are sold for $4500. the owner of the agency estimates that variable cost of operating the cars, exclusive of the gasoline are $0.18 per mile. cars are leased for a flat fee of $0.33 per mile ( gasoline not included) a. formulate the total revenue function associated with renting one of the cars a total of x miles over a 3 year period b. formulate a total cost function associated with renting a car for total of x miles over 3 year period c. formulate a profit function d. what is the profit if 10000 units are produced and sold during the year? e. what level of output is required in order to earn zero profit?
A. 2 3/7 is the same as.
B. If six orange are three - eighths of a bag, how many oranges are in one bag?
C. 6.35 is not equivalent to?
D. Solve for x in the proportion 3/9 = x/24
E. If A:B:C =1:3:4 and C:D = 3:4 the A:B:C:D is equal to
what are the relative frequencies of 5,11,13,7 and 3
is normally distributed and the mean X is 12 S.D. is 4.
a.
Find out the probability of the following
(i) X ≥ 20, (ii) X ≤ 20 and (iii) 0 ≤ X ≤ 12
b. Find x’ when P(X>x’) = 0.24
c.
Find x
0’ and x1’ when P(x0’<X< x1’) = 0.50 and P(X> x1’) = 0.25
In a book of 520 pages, 390 typo
-graphical errors occur. Assuming Poisson law for the
number of errors per page, find the probability that a random sample of 5 pages will
contain no error.
1. Before an increase in excise duty on tea, 800 persons out of a sample of 1000 persons were found to be tea drinkers. After an increase in duty 800 people were tea drinkers in the sample of 1200 people. Using standard error of proportions state whether there is a significant decrease in the consumption of tea after the increase in the excise duty.
A sample of 900 items is found to have a mean of 3.47 cm. Write down the R programming code to test whether it can be reasonably regarded as a simple sample from a population with mean 3.23 cm and SD 2.31 cm at 99% level of confidence.
The Covid-19 pandemic and its containment measures have led to involuntary job loss and massive reduction in economic activities. Survey data of a small local community named Julau shows that 28 out of 60 individuals are currently unemployed due to the pandemic outbreak. As part of the initiatives to boost economic recovery, the government has rolled out an economic stimulus package called Prihatin National Aid – a one-off cash assistance for households and individuals in the lower income groups. Suppose that 15 individuals of the Julau community are randomly selected to receive the Prihatin National Aid package. a. What is the probability that 9 package recipients are unemployed? d. Calculate the expected value, the variance, and the standard deviation for the package recipients who are unemployed.
1. The mean number of hours a Filipino worker spends on the computer is 3.1 hr per workday. Assume the standard deviation is 0.5 hr and is normally distributed, how long does a worker spend on the computer if his z-score is 1.25?
2. Each month, a Filipino household generates an average of 28 pounds of
newspaper for garbage or recycling. Assume the standard deviation is 2
pounds. Determine the z-score of a household that generates 22 pounds
of newspaper
3. The Candelaria Automobile Association reports that the average time it
takes to respond to an emergency call is 30 minutes. Assume the variable
is normally distributed and the standard deviation is 45 minutes. How long
will a call be responded if it has a z-score of 0.75?
4. The average monthly salary for first-year teachers is P21,945. If the
distribution is approximately normal with a standard deviation of P3250.
How much will a teacher earn in a month if his salary has a z-score of
1.15?
