Name for ID imor takes an average of 8 hours with a standard deviation of 2.5 ho

Question

Name for ID imor takes an average of 8 hours with a standard deviation of 2.5 hours to get spresd across the whole Question& (a ) (RUMORS FLY wmHOUT w.INGS) Assume th it isme dut. campas among the shadents and follows normal distribution. At 5:00pm, while going to home, she wonders what proportion of students will know her due to the rumor? One day at 2:00pm, Amy made a rumor outside the library with a group of girl students Hint: Use Z-Table. (b) (MEASURES OF CENTER) The sample mean of two numbers is DGC and the sample variance of the two numbers is -(DGO.. Find the two numbers Amy doing math

Explanation / Answer

mean = 8 , sd = 2.5
time between   2 pm and 5 pm = 3
P(X < 3)
= P(Z< ( 3-8)/2.5)
=P(Z < -2)
= 0.0228

b)
let the numbers are x and y
sample mean = (x+y)/2 = 445
sample variance = (x - 445)^2 + (y - 445)^ 2 = 1/2 *445^2
x^2 + y^2 - 2* 445^2 = 1/2 * 445^2
x^2 + y^ 2 = 2.5 * 445^2
solving we get
x = 445/2 , y = 1335/2

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