SAT College


If the area under the PDF curve is zero, then
Probability not defined
Probability - 1
Probability=0
Data insufficient

Answers

Answer 1

Note that if the area under the PDF curve is zero, then Probability = 0 (Option C).

What is a PDF Curve?

At every point on the graph, this function is positive or non-negative, and the integral, more precisely the definite integral of PDF over the whole space, is always equal to one. PDF graphs often resemble a bell curve, with the likelihood of outcomes falling below the curve.

A probability of 0 indicates that the event will not occur. For example, if the probability of getting engaged in a traffic accident was zero, it would imply that it would never happen.

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Related Questions

Probability mass function is also known as
Simple mass function
Mass function
Probability density function
Statistical mass function

Answers

Note that the probability mass function is also known as : "Statistical mass function" (Option D)

What is Statistical mass function?

In statistics, the probability mass function is very significant. It specifies the probability for a discrete random variable. It integrates the variable for the supplied random number, which is equal to the random variable's probability.

The difference between a probability mass function and a probability density function (PDF) is that the latter is connected with continuous rather than discrete random variables. To generate a probability, a PDF must be integrated across an interval. The mode is the value of the random variable with the greatest probability mass.

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(b) The mean marks got by 300 students in the subject of statistics are 45. The mean of the top 100 of them was found to be 70 and the mean of the last 100 was known to be 20. What is the mean of the remaining 100 students?​

Answers

Answer: The mean marks of the remaining 100 students is 6000/100= 60.

Explanation: The mean marks of all the students is 45, and the mean marks of the top 100 students is 70, so the sum of the marks of the top 100 students is 70100=7000.

The mean marks of the last 100 students is 20, so the sum of the marks of the last 100 students is 20100=2000.

The sum of the marks of all the 300 students is 7000+2000+45*100=15000.

The sum of the marks of the remaining 100 students is 15000-7000-2000=6000.

The mean marks of the remaining 100 students is 6000/100= 60.

Ethio engineering Corporation has signed a road construction agreement contract with Ethiopian Road Authority to renew and construct-the main road from Addis Ababw to Diredawa with a contract amount of 250million, 80% of the contract amount will be financed from the loan released by Commercial Bank of Ethiopia at an annual nual interest rate of 13% to be paid as per the following terms of payment At the end of the 1 At the end of the 2 At the end of the 3 At the end of the 4 At the end of the 5th year year year year year At the end of the 6th year 10% of the principal 20% of the principal 30% of the principal 20% of the principal ....15% of the principal 5% of the principal Task 4.1. Determine
A Amount of loan from Commercial Bank Of Ethiopia
B. Amount of Principal and interest repayment for the 20 year
C Amount of outstanding balance at the end of the year including interest expenses
D Total interest of the loan paid all loan ​

Answers

Answer:

A. The amount of the loan from the Commercial Bank of Ethiopia is 250 million x 80% = 200 million.

B. The total amount of principal and interest repayment for the 20-year loan is not specified in the information given. To calculate this, you would need to know the total principal and the total interest over the 20-year period.

C. To calculate the outstanding balance at the end of each year, you would need to know the principal and interest payments made during each year and the annual interest rate. You can then use the following formula:

Outstanding balance = principal + interest - payments

D. To calculate the total interest paid over the 20-year loan period, you would need to know the annual interest rate and the principal. You can then use the following formula:

Total interest = principal x annual interest rate x number of years

Note: These calculations assume that the interest rate is constant throughout the loan period and that the payments are made on schedule. If the interest rate or payments vary, the calculations will be more complex.

Explanation:

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