Statistics and Probability Answers

i have 6 yellow and 5 blue tokens in a bag.
a) i take a token.
what is the chance it is yellow?

b)i do not replace that yellow token.
what is the chance of getting a blue token?

Mean value of land from a sample is $1800 with standard deviation of $200 with bell shaped distribution. Using Empirical determine which of the farms are more than two standard deviations from the mean. $2142,$2383,$1462,$1061,$1651,$1891

I realise that my question is quite simplistic for this site but I will ask anyway. I am wondering if Percentage results become more unreliable the smaller the group is(I am not referring to a sample of the group rather questioning the whole group). If yes, is there a way to determine that? For example 5% of the 30 people that received a direct-sales call hang up the phone = Does that mean that 30% of 8 people called would be expected to hang up? or is the percentage unreliable the smaller the number which is my main question? I hope that this was clear enough. Thank you very much

Each box of milk contains one story booklet. Suppose that you want to collect all the 6 stories, how many boxes of milk do you expect to buy to complete the set of 6 stories? Solve through: a. Experiment b. Theory of Expectation (by reasoning)

A sample of 400 students of undergraduate and 400 students of post graduate classes were taken to know their opinion about autonomous college. 290 of the undergraduate and 310 of the post graduate students favoured the autonomous status. Present these fact in the form of a table and test at 5% level, that the opinion regarding autonomous status of colleges are independent of the level of classes of students.?

A chartered Accountant applies for a job in two firms X and Y. He estimates that the probability of his being selected in firm X is 0.7 and being rejected in Y is 0.5 and the probability that atleast one of his applications rejected is 0.6. What is the probability that he will be selected in one of the firms?

The bulbs manufactured by a company gave a mean life of 3000 hours with standard
deviation of 400 hours. If a bulb is selected at random, what is the probability it will
have a mean life less than 2000 hours?

Test the significance of variation of the retail prices of the commodity in three principle cities; Bombay, Kolkata and Delhi. The four shops were chosen at random in each city and prices observed in rupees were as follows
Bombay 16 8 12 14
Kolkata 14 10 10 6
Delhi 4 10 8 8

find the probability that a hand of bridge will contain at least one ace

Suppose P(A or B)= 2/3 and P(A)= 1/4. Assume A and B are independent events. Find P(B)
Hint: A and B are NOT disjoint.