Hi

Population: mean is 25 and the deviation is 4.5.

P(x ≥  35) = 1 -  P(z ≤ 2.222) = 1 - .9869 = .0131 0r 1.31 % chance of being late



For the normal distribution: Below:  z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.  

Area under the standard normal curve to the left of the particular z is P(z)

Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and 50%  to the right





one  standard deviation from the mean accounts for about 68% of the set 

two standard deviations from the mean account for about 95%

and three standard deviations from the mean account for about 99.7%. 

RELATED QUESTIONS

The length of time it takes to find a parking space at 9 A.M. follows a normal... (answered by ewatrrr)

A man leaves home every morning at 07h45 for his work which  starts at 08h00 . The time... (answered by stanbon)

The length of time it takes college students to find a parking spot in the library... (answered by jim_thompson5910)

A man leaves his home every morning at 07h45 for his work which starts at 08h00. The time  (answered by stanbon)

Commute times (amounts of time it takes people to commute from home to work) of people in  (answered by Boreal)

The length of time it takes college students to find a parking spot in the library... (answered by ewatrrr)

The time it takes Claudia to drive to work is normally distributed with a mean of 49... (answered by robertb)

let x be a random variable that represents the length of time it takes a student to write  (answered by robertb)

The time it takes for a telephone sales associate to complete a customer order is... (answered by ewatrrr)