Answer to Question #337069 in Statistics and Probability for Jhean Rica

Question #337069

3.)If the weights of 500 students are normally distributed with a mean of 40

kgs and a variance Of 16 kgs2,

a. determine the percentage of students with weights lower than 50 kgs.

b. How many students have weights exceeding 55 kgs.?


1
Expert's answer
2022-05-05T05:45:23-0400

a. P(X<50)=P(Z<50404)=P(Z<2.5)=0.9938=99.38%.P(X<50)=P(Z<\frac{50-40}{4})=P(Z<2.5)=0.9938=99.38\%.

b. P(X>55)=P(Z>55404)=P(Z>3.75)=0.0001.P(X>55)=P(Z>\frac{55-40}{4})=P(Z>3.75)=0.0001.

N=5000.0001=0.050.N=500*0.0001=0.05\approx 0.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment