Find the indicated probability assuming that x is a random variable with a normal distribution with the given mean and standard deviation. (Round your answer to four decimal places.)
P(95 ≤ x ≤ 307), μ = 20, σ = 100
Solution :
Given that ,
mean = = 20
standard deviation = = 100
= P[(95 - 20 /100 ) (x - ) / (307 - 20 / 100) ]
= P(0.75 z 2.87)
= P(z 2.87) - P(z 0.75 )
= 0.9979 - 0.7734
= 0.2245
P(95 ≤ x ≤ 307) = 0.2245
Get Answers For Free
Most questions answered within 1 hours.