Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 10 adult smartphone users are randomly selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes.
Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 10 adult smartphone users are randomly selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 10 adult smartphone users are randomly selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes.
Expert Solution
Step 1
Binomial Distribution :
The binomial probability is a type of discrete probability distribution that can take random values on the range of , where is the sample size. The main properties of the binomial distribution are :
- It is discrete, and it can take values from 0 to n, where n is the sample size.
- The type of skewness depends on the parameters n and p .
- It is determined by two parameters: the population proportion of success, the sample size (or number of trials).
- The mean of the binomial distribution is and its standard deviation is .
It's probability formula is given as:
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