Advertisements
Advertisements
प्रश्न
Two coins are tossed simultaneously. Getting a head is termed a success. Find the probability distribution of the number of successes
Advertisements
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
The discrete random variable X has the following probability function.
P(X = x) = `{{:("k"x, x = 2"," 4"," 6),("k"(x - 2), x = 8),(0, "otherwise"):}`
where k is a constant. Show that k = `1/18`
The discrete random variable X has the probability function.
| Value of X = x |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| P(x) | 0 | k | 2k | 2k | 3k | k2 | 2k2 | 7k2 + k |
If P(X ≤ x) > `1/2`, then find the minimum value of x.
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):}`
What is the probability that a person will have to wait (i) more than 3 minutes, (ii) less than 3 minutes and (iii) between 1 and 3 minutes?
Define random variable
Define dicrete random Variable
Explain the terms probability distribution function
Choose the correct alternative:
If c is a constant in a continuous probability distribution, then p(x = c) is always equal to
Choose the correct alternative:
If the random variable takes negative values, then the negative values will have
Choose the correct alternative:
The probability density function p(x) cannot exceed
The probability density function of a continuous random variable X is
f(x) = `{{:(a + bx^2",", 0 ≤ x ≤ 1),(0",", "otherwise"):}`
where a and b are some constants. Find Var(X)
