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In a store, an average of 10 customers enters per hour. What is the probability that at most 80 customers enter the store during a 10 hour day?
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An airline, 100 seats
For each customer with a ticket: P (absent) = 0.02
a.) If the absence of different passenger are independent events. What is the law of the random variable x = nb of passenger missing a flight.
b.) how do you approach this law? (with steps)
5. Prepare a list of magazines and categorize them into three groups according to the
educational level of the reader as high, low and medium. Select six advertisement
collect three different readability measures. Perform one way ANOVA test to
determine whether advertisement readabilities of the three group of magazines
are different.
You notice at the gym that it appears more women tend to work out together, whereas more men tend to work out alone. To determine whether this difference is significant, you collect data on the workout preferences for a sample of men and women at your gym. The data follows.
Males Females
Together 5 8
Alone 7 6
a. What statistical test should be used to analyze the data?
b. Identify H0 and Ha for this study
c. Conduct the appropriate analysis.
d. Should H0 be rejected? What should the researcher conclude?
Assume that the inquiries are normally distributed with a standard deviation of 300. Would you take up the offer. Show details of your calculations.
Suppose you are offered the opportunity of sharing a small stand at a trade fair. The service provided by the stand is to assist job seekers in securing employment. The cost of the stand will be R20000, the cost of promotional material will be R2000, and the partners include a cost of R1000 for their time. The organisers of the fair claim that the likely number of enquiries will average out at 3000. Past exxperience has given a conversion rate of 5% of enquries into actual jobs, and the partners work on an average profit of R200 per job. Assume that the enquries are normally distributed with a standard deviation of 300. Would you take up the offer? Show details of your calculations.
the perimeter of a rectangle is 68 cm. the length is 4 cm more than its width. find the dimensions of the rectangle
If a < 1/2 and b < 1/2 then a + b < 1
Write the converse of this statement. Is the converse true?
Explain
Write the contrapositive of this statement. Is the contrapositive true?
Explain
dy/dx - ay = Q, where a is a constant, giving your snswer in terms of of a, when
a) Q = ke^lamda(x)
b) Q = ke^ax
c) Q = (kx^n)(e^ax)
12) use the substitution z = y^-1 to transform the differntial equation x dy/dx +y = (y^2)ln(x), into a linear equation. hense obtain the general solution of the original equation.
13) use the substitution z = y^2 to transform the differential equation 2cosx dy/dx - ysinx +y^-1 = 0, into a linear equation. hense obtain the general solution of the original equation.
14) us the substitution u = x + y to transform the differential equation dy/dx = (x +y +1)(x + y - 1) into a differential equation in u and x. by first solving this new equation. hense obtain the general solution of the original equation
15) use the substitution u = y - x - 2 to transform the differential equation dy/dx = (y - x - 2)^2 into a differntial equation in u and x. By first solving this new equation, find the general solution of the original equation, giving y in therms of x.
