Normal distribution was invented by ________.

If Z is a standard normal variate, the proportion of items lying between Z = –0.5 and Z = –3.0 is ________.

An experiment succeeds twice as often as it fails. The chance that in the next six trials, there shall be at least four successes is ________.

If for a binomial distribution b(n,p) mean = 4 and variance = 4/3, the probability, P(X ≥ 5) is equal to ________.

The average percentage of failure in a certain examination is 40. The probability that out of a group of 6 candidates atleast 4 passed in the examination are ________.

Define Binomial distribution.

Write down the conditions for which the binomial distribution can be used.

In a family of 3 children, what is the probability that there will be exactly 2 girls?

In tossing of a five fair coin, find the chance of getting exactly 3 heads.

What is the probability of guessing correctly atleast six of the ten answers in a TRUE/FALSE objective test?

A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability of 2 successes.

When counting red blood cells, a square grid is used, over which a drop of blood is evenly distributed. Under the microscope an average of 8 erythrocytes are observed per single square. What is the probability that exactly 5 erythrocytes are found in one square?

Assuming one in 80 births is a case of twins, calculate the probability of 2 or more sets of twins on a day when 30 births occur.