Question

Urgent help! Thank you.

Given a normal distribution with μ= 51 and σ= 8, and given you select a sample of n= 100, complete parts (a) through (d). a. What is the probability that X is less than 49? PR 49) Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that X is between 49 and 49.5? P(49 <X-49.5)= □ Type an integer or decimal rounded to four decimal places as needed.) c. What is the probability that X is above 51.4? P(X > 51.4) = (Type an integer or decimal rounded to four decimal places as needed.) d. There is a 35% chance that X is above what value? Type an integer or decimal rounded to two decimal places as needed.)

Answer 1

Gen that stordend deviation .g Somple six 100 0.2 , p1-2.5 < z1-1 8751 ·PEL-İS75].PIz fon ス table puak PHC H95) c.0242 x > 529 0.8 1-0 6a15 0.3085 P7614 a 3085

$\bar{x} = \mu &plus; z*\frac{\sigma }{\sqrt{n}}$

$\bar{x} = 51 &plus; 0.3853*\frac{8}{\sqrt{100}}$

$\bar{x} = 51 &plus; 0.30824$

$\bar{x} = 51.31$