NCERT Class 12-Mathematics: Chapter – 13 Probability Part 21 (For CBSE, ICSE, IAS, NET, NRA 2023)
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State True or False for the Statements in Each of the Exercises 94 to 103
Question 94:
Let and . Then A and B can be both mutually exclusive and independent.
Answer: False
Question 95:
If A and B are independent events, then A and B are also independent.
Answer: True
Question 96:
If A and B are mutually exclusive events, then they will be independent also.
Answer: False
Question 97:
Two independent events are always mutually exclusive.
Answer: False
Question 98:
If A and B are two independent events then .
Answer: True
Question 99:
Another name for the mean of a probability distribution is expected value.
Answer: True
Question 100:
If and are independent events, then
Answer: True
Question 101:
If A and B are independent, then
Answer: True
Question 102:
If A and B are two events such that and , then
Answer: False
Question 103:
If A, B and C are three independent events such that , then
Answer: True
Fill in the Blanks in Each of the Following Questions
Question 104:
If A and B are two events such that , then ________
Answer:
Question 105:
If A and B are such that , then ________
Answer:
Question 106:
If X follows binomial distribution with parameters and , then ________
Answer:
Question 107:
Let be a random variable taking values with probabilities , respectively. Then var ________
Answer:
Question 108:
Let A and B be two events. If , then A is ________ of B.
Answer:
Independent