Question

At the farmers market a farmer has bunches of radishes for sale. The

Answer 1

Answer:

The  probability a random selected radish bunch weighs between 5 and  6.5 ounces is 0.8185

Step-by-step explanation:

The  weight of the radish bunches is normally distributed with a mean of  6 ounces and a standard deviation of 0.5 ounces

Mean = $\mu = 6$

Standard deviation = $\sigma = 0.5$

We are supposed to find  the  probability a random selected radish bunch weighs between 5 and  6.5 ounces i.e.P(5<x<6.5)

$Z=\frac{x-\mu}{\sigma}$

At x = 5

$Z=\frac{5-6}{0.5}$

Z=-2

$Z=\frac{x-\mu}{\sigma}$

At x = 6.5

$Z=\frac{6.5-6}{0.5}$

Z=1

Refer the z table for p value

P(5<x<6.5)=P(x<6.5)-P(x<5)=P(Z<1)-P(Z<-2)=0.8413-0.0228=0.8185

Hence the  probability a random selected radish bunch weighs between 5 and  6.5 ounces is 0.8185