An unbiased coin is tossed `5` times. Suppose that a variable `X` is assigned the value `k` when `k` consecutive heads are obtained for `k=3,4,5` otherwise `X` takes the value `-1`. Then the expected value of `X,` is

An unbiased die is tossed 3 times, suppose that a variable x is assigned the value k, when k consecutive sixes are obtained for else x takes the value –1 . Then expected value of x is: A. (182)/(216) B. (172)/(216) C. (-182)/(216) D. -(172)/(216)

2 dice are thrown. Suppose a random variable X is assigned a value 2k, if the sum on the dice is equal to k, then the expected value of X is

A fair coin is flipped n times. Let E be the event "a head is obtained on the first flip" and let F_(k) be the event "exactly k heads are obtained". Then the value of n/k for which E and F_(k) are independent is _____.

A fair coin is flipped n times. Let E be the event "a head is obtained on the first flip" and let F_(k) be the event "exactly k heads are obtained". Then the value of n/k for which E and F_(k) are independent is _____.

Find the value of k if the line 3x-4y=k is a tangent to x^(2)-4y^(2)=5

When a coin is tossed n times, if the probability for getting 6 heads is equal to the probability of getting 8 heads, then the value of n is

A biased coin with probability of getting head is twice that of tail, is tossed 4 times If a random variable X is number of heads obtained, then expected value of X is :

A biased coin with probability of getting head is twice that of tail, is tossed 4 times If a random variable X is number of heads obtained, then expected value of X is :

An unbiased coin is tossed n times. Let X denote the number of times head occurs. If P(X=4), P(X=5) and P(X=6) are in A.P, then the value of n can be

An unbiased coin is tossed n times. Let X denote the number of times head occurs. If P(X=4), P(X=5) and P(X=6) are in A.P, then the value of n can be