A smartphone manufacturer admits that 12% of the smartphones they make have defects that could result in operating system failure. A random sample of 20 smartphones manufactured by this company will be selected. Let X = the number of smartphones manufactured by this company that have defects that could result in operating system failure in a random sample of 20.
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.
Do question 2
![There are 4 parts to this problem.
A smartphone manufacturer admits that 12% of the smartphones they make have defects
that could result in operating system failure.
A random sample of 20 smartphones manufactured by this company will be selected.
Let X = the number of smartphones manufactured by this company that have defects that
could result in operating system failure in a random sample of 20.
1. How many possible outcomes does X have?
[ Select ]
2. What is the probability that exactly 1 smartphone results in an operating system failure
in a random sample of 20 smartphones manufactured by this company?
[ Select ]
3. How many smartphones manufactured by this company in the random sample of 20
would you expect to result in operating system failure? [Select ]
4. Suppose we increase the sample size to 150 smartphones. Let Y = the number of
smartphones manufactured by this company that have defects that could result in
operating system failure in a random sample of 150
What is the approximate model of Y? [ Select]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10de40d4-0dd7-45fd-9d14-c5a48cbfeb71%2Ff63fbe9b-05d1-44d3-b102-2632b643b55a%2F7w7xxed_processed.png&w=3840&q=75)
Given that 12% of the smartphones have defects.
So probability of finding a defective smartphone is = 0.12
20 random samples are collected.
So, X ~ Binomial(20,0.12)
PMF of X ,
P(X=x) = x = 0,1,2...,20
a. Hence, there are total 21 outcomes 0,1,...,20
b. P(exactly one defective) = P(X=1) = = 0.21153
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