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 = [tex]\mu = 6[/tex]
Standard deviation = [tex]\sigma = 0.5[/tex]
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)
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
At x = 5
[tex]Z=\frac{5-6}{0.5}[/tex]
Z=-2
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
At x = 6.5
[tex]Z=\frac{6.5-6}{0.5}[/tex]
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
