Let the random variable X denote the number of girls in a five-child family. If the probability of a female birth is 0.5, find the following probabilities. (a) Find the probability of 0, 1, 2, 3, 4, and 5 girls in a five-child family. (Round your answers to three decimal places.) P(0 girls) = P(1 girl) = P(2 girls) = P(3 girls) = P(4 girls) = P(5 girls) = (c) Compute the mean and the standard deviation of the random variable X. (Round your standard deviation to three decimal places.) mean __ girls standard deviation __ girls
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.
Let the random variable X denote the number of girls in a five-child family. If the probability of a female birth is 0.5, find the following probabilities.
| P(0 girls) | = |
| P(1 girl) | = |
| P(2 girls) | = |
| P(3 girls) | = |
| P(4 girls) | = |
| P(5 girls) | = |
(c) Compute the mean and the standard deviation of the random variable X. (Round your standard deviation to three decimal places.)
| mean | __ girls |
| standard deviation | __ girls |
Step by step
Solved in 2 steps
