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A survey indicates that shoppers spend an average of 26 minutes with a standard deviation of 8 minutes in your store and that these times are normally distributed. Find the probability that a randomly selected shopper will spend less than 20 minutes in the store.

Respuesta :

Answer:

0.2266

Step-by-step explanation:

Given that a  survey indicates that shoppers spend an average of 26 minutes with a standard deviation of 8 minutes in your store and that these times are normally distributed.

i.e. if X is the time spent in the store then X is

N(26, 8)

The probability that a randomly selected shopper will spend less than 20 minutes in the store

=[tex]P(X<20)\\=P(Z<\frac{20-26}{8} \\=P(Z<-0.75)\\\\=0.2266[/tex]

Required prob = 0.2266

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