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fomenos
2 years ago
14

The daily sales at a convenience store produce a normal distribution with a mean of $1,250 and a standard deviation of $125. The

probability that the sales on a given day at this store are less than $1,310 is:
Mathematics
1 answer:
timama [110]2 years ago
4 0

Answer:

0.6844 is the required probability.        

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $1,250

Standard Deviation, σ = $125

We are given that the distribution of daily sales is a bell like shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find

P(sales less than $1,310)

P( x < 1310) = P( z < \displaystyle\frac{1310 - 1250}{125}) = P(z < 0.48)

Calculation the value from standard normal z table, we have,  

P(x < 1310) =0.6844= 68.44\%

0.6844 is the probability that sales on a given day at this store are less than $1,310.

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