A recent survey found that 61% of all adults over the age of fifty wear glasses for driving. In a random sample of 80 adults over the age of fifty, use the binomial distribution to determine what is the mean and standard deviation of those that wear glasses.
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Given:
A recent survey found that 61% of all adults over the age of fifty wear glasses for driving. In a random sample of 80 adults over the age of fifty
To find:
Use the binomial distribution to determine what is the mean and standard deviation of those that wear glasses.
Solution:
From given, we have,
A recent survey found that 61% of all adults over the age of fifty wear glasses for driving. In a random sample of 80 adults over the age of fifty
61% = 0.61
Mean = 80 × 0.61 = 48.8
Standard deviation = 80 × 0.61 × (1 - 0.61) = 80 × 0.61 × 0.39 = 19.032
Therefore, the mean and standard deviation of those that wear glasses are 48.8 and 19.032 respectively.
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