If a problem is randomly selected from a particular book, then probability that students A, B and C can solve the problem are 1/2, 1/3 and 1/4 respectively. If a problem is selected randomly from this book and given to the students A, B and C then what is the probability that problem is solved. They solve the problem independently.
When the problem is given to students A, B, and C, each attempts it independently. The probability that A cannot solve the _________ __________ _________ ________ _________ ________ ___.
_________ __________ _________ _______ ___ ___ ________ _____ _____ ______ ____.
________ ___ __________ _______ ___ ____ ________ _________ __________ __________ ______.
__________ ________ _________ _____ ________ _______ _____ _______ _______.
____ _______ ______ ________ ___ ___ _________ __________.
_______ ____ ________ _______ ___ _________ ___ ___ ______ _____ _____ __________.
_________ ______ _________ _________ __________ _______.
_____ _____ ________ _____ __________.
________ _________ ______ _____ ______ ____ ____ ________ ________ __________.
_______ ____ ___ _____ _________ ________ __________.
______ ________.
Get Full Answer on WhatsApp
State whether the following statements are True or False. Give a reason in support of your answer.
(a) If events A, B and C are three mutually exclusive and exhaustive events, then it is possible that ,
and
.
(b) If X is a discrete random variable, then X cannot take countably infinite values.
(c) If X is a standard normal variate, then .
(d) If random variables X and Y follow Bernoulli distributions with parameters 1/2 and 1/3 respectively then the random variable X + Y also follows a Bernoulli distribution with parameter 5/6.
Write any 10 characteristics of normal distribution.
Find the probability that a third child in a family is the family's second daughter, assuming the male and female are equally probable.
A factory produces certain type of output by 3 machines. The respective daily production figures are- machine X : 4500 units, machine Y: 2000 units and machine Z: 3500 units. Past experience shows that 2% of the output produced by machine X is defective. The corresponding fractions of defectives for the other two machines are 5 and 10 percent respectively. An item is drawn from the day's production. If the drawn item is found to be defective, what is the probability that it has been produced by machine Y?
Three unbiased coins are tossed simultaneously. In which of the following cases are the events A and B independent?
(i) A be the event of getting exactly one tail
B be the event of getting exactly one head
(ii) A be the event that first coin shows tail
B be the event that third coin shows head
Four coins were tossed and number of heads noted. The experiment is repeated 200 times. The number of tosses showing 0, 1, 2, 3 and 4 heads were found distributed as under. Fit a binomial distribution to these observed results assuming that the nature of the coins is not known.
| Number of Heads | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| Number of Tosses | 15 | 35 | 90 | 40 | 20 |
If a problem is randomly selected from a particular book, then probability that students A, B and C can solve the problem are 1/2, 1/3 and 1/4 respectively. If a problem is selected randomly from this book and given to the students A, B and C then what is the probability that problem is solved. They solve the problem independently.