Find the expected number of infected ducks in a sample of 5 ducks if the probability of an infected duck is 0.3 and the ducks can be considered independent.

Q: If a seed is planted, it has a 75% chance of growing into a healthy plant.If 12 seeds are planted,…

A: The objective of this question is to find the probability that exactly 2 out of 12 seeds do not grow…

Q: The probability that a can of paint contains contamination is 3.23% and the probability of a mixing…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:

Q: In a batch of 2000 calculators , there are, on average, 8 defective ones. If a random sample of 150…

A:

Q: At the cartons  produced by a company 3% have a puncture 6% have a smashed corner and 0.4% have both…

A: Given that , cartons produced by a company, 3% have a puncture, 6% have a smashed corner, and 0.4 %…

Q: A study conducted in a US city shows that 15% live in poverty. Find the probability that among 9…

A: GivenUS city shows that 15% live in povertyp=0.15n=9x~Binomial(n=9,p=0.15)P(X=x)=(nx)×px×(1-p)n-x…

Q: If a seed is planted, it has 75% chance of growing into healthy plant. If 12 seeds are planted,…

A: Given that, 75% chance of growing into healthy plant.  Sample size = 12

Q: probability that a house in an urban area will develop a leak is 2%. If 21 houses are randomly…

A: The probability that a house in urban area will develop a leak is 2%, 21 houses are randomly…

Q: In a 2 colour spinner, the probability of spinning red is 4 times the probability of spinning green.…

A: Let there are n trials and each having two outcomes - Success and Failure. The trials are…

Q: A (blindfolded) marksman finds that on the average he hits the target 4 times out of 5. If he fires…

A:

Q: Suppose a basketball player makes 57.7% of shots and that the probabilty of making each shot is…

A: The probability of making a shot, .The shots are independent.Total number of attempts, .

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.