The Chunky-Wunky Candle Company ships candles all over the world. The probability that a candle is broken during shipment is 3%. In a shipment of 3 candles, what is The probability that all three are broken. The probability that none of the candles are broken. The probability that the first candle unpacked is not broken and the rest are broken.
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 Chunky-Wunky Candle Company ships candles all over the world. The
probability that a candle is broken during shipment is 3%. In a shipment of 3 candles, what is - The probability that all three are broken.
- The probability that none of the candles are broken.
- The probability that the first candle unpacked is not broken and the rest are broken.
According to the sum, the Chunky-Wunky Candle Company ships candles all over the world.
The probability that a candle is broken during shipment is 3% = p= 0.03
So the probability that a candle is not broken during shipment is q= 1-p=1-0.03= 0.97
In a shipment of 3 candles, n=3
Let X be a random variable representing the event that the candle is broken that follows binomial distribution
So,
P(X=x)=
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