Binomial distribution: Examples1 min read


  1. Ten coins are tossed simultaneously. Find the probability of getting at least 7 heads.

2. A die is tossed twice. Getting a number greater than 4 is considered a success. Find the mean and variance of the probability of number of success.

Solution,

3. Find the probability that in five tosses of a fair die, 3 will appear (i) twice, (ii) at most once, and (iii) at least two times.

Solution,

4. A coin is tossed for 7 times and the experiment is repeated for 128 times. Find the probability distribution. [Important]

Solution,

n=7; p = 1/2; q = 1/2

5. The incidence of occupational disease in an industry is such that workers have a 20% chance of suffering from it. What is the probability that out of six workers chosen at random, four or more will suffer the disease?

Solution,

binomial example

6. The probability of a man hitting a target is 0.25. How many times must he fire so that the probability of hitting the target at least once is greater than 2/3?

Solution,


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