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.
Learn more about Statistical mass function:
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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?
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.