AE-JE Foundation EE : Engineering Mathematics Quiz - 7

If E₁, E₂, …E_n represent the partition of sample space S then which of the following statement is false?

The mean of following probability distribution is

X	-4	-3	2	1
P(X)	0.3	0.2	0.1	0.4

A random variable X takes the values 0, 1, 2, 3 and its mean is 1.3. If P(X =3) = 2P(X = 1) and P(X = 2) = 0.3, then P(X = 0) is

Two events E and F such that P(E) ≠ 0 and P(F) ≠ 0 are said to be independent, if

If a random variable X has the following probability distribution:

X:	0	1	2	3	4	5	6	7	8
P(X):	a	3a	5a	7a	9a	11a	13a	15a	17a

then value of ‘a’ is

A person has undertaken a construction job. The probabilities are 0.65 that there will be strike, 0.80 that the construction job will be completed on time if there is no strike, and 0.32 that the construction job will be completed on time if there is a strike, the probability that the construction job will be completed on time is

If A and B are independent events and P(A) = 0.3 and P(B) = 0.6, then P(A ∩ B) equals

 What is the probability of getting 53 Mondays in a leap year?

 A card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a king of red suit.

 A jar contains 24 marbles. Some are red and others are white. If a marble is drawn at random from the jar, the probability that it is red is 2/3, then the number of white marbles in the jar is: