Q32 of 43 Page 296

State whether the statements are True or False

The probabilities that a typist will make 0, 1, 2, 3, 4, 5 or more mistakes in typing a report are, respectively, 0.12, 0.25, 0.36, 0.14, 0.08, 0.11.

Let

A be the event that typist will make 0 mistake in typing a report


B be the event that typist will make 1 mistake in typing a report


C be the event that typist will make 2 mistakes in typing a report


D be the event that typist will make 3 mistakes in typing a report


E be the event that typist will make 4 mistakes in typing a report


F be the event that typist will make 5 mistakes in typing a report


Then, we have


P(A) = 0.12, P(B) = 0.25, P(C) = 0.36, P(D) = 0.14, P(E) = 0.08 and P(F) = 0.11


We know that,


Sum of all probabilities = 1


∴ P(A) + P(B) + P(C) + P(D) + P(E) + P(F)


= 0.12 + 0.25 + 0.36 + 0.14 + 0.08 + 0.11


= 1.06 > 1


Hence, the given statement is False.


More from this chapter

All 43 →
30

State whether the statements are True or False

The probability that a person visiting a zoo will see the giraffe is 0.72, the probability that he will see the bears is 0.84 and the probability that he will see both is 0.52.

 31

State whether the statements are True or False

The probability that a student will pass his examination is 0.73, the probability of the student getting a compartment is 0.13, and the probability that the student will either pass or get compartment is 0.96.

 33

State whether the statements are True or False

If A and B are two candidates seeking admission in an engineering College. The probability that A is selected is .5 and the probability that both A and B are selected is at most .3. Is it possible that the probability of B getting selected is 0.7?

 34

State whether the statements are True or False

The probability of intersection of two events A and B is always less than or equal to those favourable to the event A.