Advertisements
Advertisements
प्रश्न
Two coins are tossed simultaneously. Getting a head is termed a success. Find the probability distribution of the number of successes
उत्तर
Let X is the random variable which counts the Number of Heads when the coins are tossed the outcomes are stated below
Out Comes | (HH) | (HT) | (TH) | (TT) |
Values of x | 2 | 1 | 1 | 0 |
These values are summarized in the following probability table
Value of X | 0 | 1 | 2 |
P(xi) | `1/4` | `2/4` | `1/4` |
APPEARS IN
संबंधित प्रश्न
Suppose X is the number of tails occurred when three fair coins are tossed once simultaneously. Find the values of the random variable X and number of points in its inverse images
Choose the correct alternative:
Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times. Then the possible values of X are
The distribution of a continuous random variable X in range (– 3, 3) is given by p.d.f.
f(x) = `{{:(1/16(3 + x)^2",", - 3 ≤ x ≤ - 1),(1/16(6 - 2x^2)",", - 1 ≤ x ≤ 1),(1/16(3 - x)^2",", 1 ≤ x ≤ 3):}`
Verify that the area under the curve is unity.
Suppose that the time in minutes that a person has to wait at a certain station for a train is found to be a random phenomenon with a probability function specified by the distribution function
F(x) = `{{:(0",", "for" x ≤ 0),(x/2",", "for" 0 ≤ x < 1),(1/2",", "for" ≤ x < 2),(x/4",", "for" 2 ≤ x < 4),(1",", "for" x ≥ 4):}`
Is the distribution function continuous? If so, give its probability density function?
Define dicrete random Variable
Choose the correct alternative:
If the random variable takes negative values, then the negative values will have
Choose the correct alternative:
A discrete probability function p(x) is always
Choose the correct alternative:
In a discrete probability distribution, the sum of all the probabilities is always equal to
Let X be a random variable with a cumulative distribution function.
F(x) = `{{:(0",", "if" x < 0),(x/8",", "if" 0 ≤ x ≤ 1),(1/4 + x/8",", "if" 1 ≤ x ≤ 2),(3/4 + x/12",", "if" 2 ≤ x < 3),(1",", "for" 3 ≤ x):}`
Is X a discrete random variable? Justify your answer
The probability distribution function of a discrete random variable X is
f(x) = `{{:(2k",", x = 1),(3k",", x = 3),(4k",", x = 5),(0",", "otherwise"):}`
where k is some constant. Find P(X > 2)