The probability function for a random variable x having a value less than is called _____________?
Show answer Hide answer
Answer: B. Distribution function
Explanation
Cumulative distribution functions accumulate probabilities up to a specific given variable value. Random variables map outcomes of random processes to numerical values reliably. Distribution functions characterize the probabilistic behavior of random variables completely. Cumulative distribution functions apply to both discrete and continuous random variables universally. Probability theory provides the mathematical foundation for modern statistical inference. Values of cumulative distribution functions always range between zero and one inclusively.
Engineers use distribution functions to calculate reliability probabilities in manufacturing systems. Financial modelers rely on cumulative probabilities to assess risk and market volatility. Data analysts examine distribution functions to understand underlying data generation processes. Random function is not a standard mathematical term used in probability theory. Continuous function describes a property of curves rather than specific probability evaluations. Probability function typically refers to probability mass functions rather than cumulative bounds.
- Subject
- Mathematics
- Category
- Statistics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. A contractor has 20 male, 15 female, and 5 child employees. Wages are Rs. 10/day for men, Rs. 8/day for women, and Rs. 3/day for children. The weighted x of daily wages is_____________?
Show answer Hide answer
Answer: B. 8.37
Total wages equal twenty men multiplied by ten plus fifteen women multiplied by eight. Adding children earnings yields a grand total wage expenditure of three hundred thirty-five. Dividing total wages by forty total empl...
Q2. If a coin is weighted such that P (T) = 2P(H), what is P(H) _______________?
Show answer Hide answer
Answer: D. 1/3
If the probability of tails is twice the probability of heads, and probabilities sum to one, P of H is one third. Substituting P of T with two times P of H gives two P of H plus P of H equals one. Solving three P of H eq...
Q3. A list of sampling _________ is termed a sampling frame?
Show answer Hide answer
Answer: C. w.o.r
A sampling frame is a list of all sampling units from which a sample is drawn.
Q4. A parameter is a measure computed from___________?
Show answer Hide answer
Answer: A. Population data
A statistical parameter is calculated directly using data from an entire population. Population parameters provide exact numerical descriptors for all members of a defined group. Computing characteristics from complete p...
Q5. A quantity derived by applying a specific formula or rule is known as ________________?
Show answer Hide answer
Answer: A. Estimate
An estimate is a specific numerical value calculated from sample data to approximate a population parameter. It provides a concrete guess of an unknown population characteristic based on collected observations. Statistic...
Q6. A graph illustrating a cumulative frequency distribution is called ________________?
Show answer Hide answer
Answer: C. Ogive
An ogive is specifically designed to plot cumulative frequencies against upper or lower class boundaries. The resulting curve rises continuously from left to right as cumulative values accumulate. Connecting cumulative f...