mathgenius14
mathgenius14 mathgenius14
  • 24-09-2020
  • Mathematics
contestada

x is a normally distributed variable with mean μ = 17 and standard deviation σ = 3 find:

a) P(x >21)
b) P(x < 15)
c) P(16 < x < 25)

Respuesta :

nukebeaver
nukebeaver nukebeaver
  • 24-09-2020

Answer:

a)0.09176

b)0.22065

c)0.62551

Step-by-step explanation:

a) p(x>21) = p(z> (21-17)/3)=p(z>1.333) = 1-.90824= 0.09176 (subtracting from one because we are looking at the right side of the graph from the Z-table)

b)p(x<15) = p(z< (15-17)/3)=p(z<-.6667) = 0.22065

c)p(16 < x < 25)= (z(16-17)/3 < p < z(25-17)/3)= z(-.333) < p < z(2.667)=.99621 -.37070 = 0.62551

Answer Link

Otras preguntas

use mental math to determine the solution to x - 3 = 10 .
83 and one third percent as a fraction
What was the reaction of other Native American groups to King Philip's war?
how many electrons does zinc lend?
what was the difference between a subsistence economy and the market economy that developed as a result of nineteenth century transportation
What is the area of the figure? A. 24 km² B. 32 km² C. 40 km² D. 48 km²
What's 64 divided by 0.4
Shawn evaluated the algebraic expression x divided by 4 for x = 12 and gave an answer of eight. What was his error? What is the correct answer?
Find the greatest common factor of 63 and 96
8. The largest of the five so-called "civilized tribes" was the A. Seminole. B. Creek. C. Choctaw. D. Cherokee