Question

. The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1220 and a standard deviation of 110. What is the probability that the sales on a given day at this store are less than $1,305, rounded to four decimal places

Answer 1

0.78015

Explanation:

Given that :

Mean, μ = 1220

Standard deviation, σ = 110

Probability that sales is less Than 1305 on a given day

P(x < 1305) :

Obtain the standardized score Z

Z = (x - μ) / σ

Z = (1305 - 1220) / 110

Z = 85 / 110

Z = 0.7727272 = 0.7727

P(Z < 0.7727) = 0.78015 (Z probability calculator)