Question

It is known that when a specific type of radish is grown in a certain manner without fertilizer the weights of the radishes produced are normally distributed with a mean of 40g and a standard deviation of 10g. When the same type of radish is grown in the same way except for the inclusion of fertilizer, it is known that the weights of the radishes produced are normally distributed with a mean of 140g and a standard deviation of 40g. Determine the proportion of radishes grown

Answer 1

Answer: hello your question is incomplete below is the missing part

Determine the proportion of radishes grown without fertilizers with weight less than 50grams

answer : p( x < 50 ) = 0.84

Step-by-step explanation:

Radish grown in without fertilizers ( normally distributed )

mean = 40 g

standard deviation = 10 g

Radish grown with fertilizers ( normally distributed )

Mean = 140 g

standard deviation = 40 g

Determine the proportion of radishes grown without fertilizers with weight less than 50 grams

lets assume x = radish without fertilizers

                    y = radish with fertilizers

hence

p( x < 50 )  = P (  (x-μ / б)  < $\frac{50-40}{10}$  )

                  = p ( z < 1 ) = 0.5 + p ( 0 < z < 1 )

                                   p( x < 50 ) = 0.5 + 0.3413 = 0.8413

attached below is the distribution related to this solution