Help plzzz!!Given P(A) = 0.78, P(B) = 0.65 and P(AUB) = 0.873, find the value of P(An B), rounding to the nearest thousandth, if necessary.

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Work Shown:

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Side note:

A similar formula is

We can isolate the last term to get the first equation shown above.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;