The life span of 100 W light bulbs manufactured by a company are tested. It is found that (2 %) of the light bulbs are rejected. A random sample of 15 bulbs is taken from stock and tested. The random variable X is the number of bulbs that is rejected. a. Give four reasons why X will have a binomial distribution. b. Use a formula to find the probability that 2 light bulbs in the sample are rejected. c. If the true probability of a rejected light bulb is 0.5340. Among the next 6 randomly selected bulbs, what is the probability that at least one of them is accepted?
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.
The life span of 100 W light bulbs manufactured by a company are tested. It is found that (2 %) of the light bulbs are rejected. A random sample of 15 bulbs is taken from stock and tested. The random variable X is the number of bulbs that is rejected.
a. Give four reasons why X will have a binomial distribution.
b. Use a formula to find the
c. If the true probability of a rejected light bulb is 0.5340. Among the next 6 randomly selected bulbs, what is the probability that at least one of them is accepted?
d. If life span of light bulbs is adjusted so that the mean = p. Find the value of p if the variance = 2.4
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
